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Calculated Shard: 164 (from laksa094)

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curl -X POST \
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Response:

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The estimation of the zero-inflation parameter of the zeroinflated Poisson (ZIP) models by MLE do not have an explicit expression and solved iteratively by using modern computing techniques. In this paper, we proposed a probability based inflation estimator (PBIE) for making inferences about the inflation parameter of the ZIP model and also studied the performance of the proposed estimator for simulated data."],"attrs_boilerpipe_text":"K.M. Sakthivel, C.S. Rajitha\nCitation :\nK.M. Sakthivel, C.S. Rajitha, \"Estimation of Zero-Inflation Parameter in\r\nZero-Inflated Poisson Model,\"\nInternational Journal of Mathematics Trends and Technology (IJMTT)\n, vol. 56,  no. 2,  pp. 135-140, 2018.\nCrossref\n,\nhttps:\/\/doi.org\/10.14445\/22315373\/IJMTT-V56P519\nAbstract\nThe modelling of count data is extensively used in many fields of research.\r\nThere is handful of zero-inflated probability models available in literature. Among these models, zero inflated\r\nPoisson distribution is one of the widely used models for modelling data with excess number of zeros. In all the\r\nzero-inflated models, one can have parameter called zero-inflation parameter which is in addition to the\r\nnumber of parameters in underlying distribution. The estimation of the zero-inflation parameter of the zeroinflated Poisson (ZIP) models by MLE do not have an explicit expression and solved iteratively by using modern\r\ncomputing techniques. In this paper, we proposed a probability based inflation estimator (PBIE) for making\r\ninferences about the inflation parameter of the ZIP model and also studied the performance of the proposed\r\nestimator for simulated data.\nKeywords\nmean squared error, MLE, moment estimators, zero-inflation Parameter, zero-Inflated Poisson Model.\nReferences\n\n[1] S. Beckett, J. Jee, T. Ncube, , S. Pompilus, Q.Washington, A. Singh, and N. Pal, “Zero-inflated Poisson (ZIP) distribution: parameter estimation and applications to model data from natural calamities,” Involve: A Journal of Mathematics, vol.7(6),pp. 751–767, 2014.\n[2] P.C. Consul, and G.C Jain, “On some interesting properties of the generalized Poisson distribution,” Biometrical Journal, vol. 15, pp. 495–500, 1973b.\n[3] F.Famoye, “Parameter estimation for generalized negative binomial distribution,” Communications in Statistics-Simulation and Computation, vol. 26(1), pp. 269–279, 1997\n[4] W. Feller, “On a general class of contagious distributions,” Annals of Mathematical Statistics, vol.14 (4), pp.389–400, 1943.\n[5] D. Lambert, “Zero-inflated Poisson regression with an application to defects in manufacturing,” Technometrics, vol. 34(1),pp. 1–14, 1992.\n[6] G. Nanjundan, and T. R. Naika,. “Asymptotic comparison of method of moments estimators and maximumlikelihood estimators of parameters in zero-inflated poissonmodel,” AppliedMathematics, vol. 3, pp. 610–616, 2012.\n[7] J. Neyman, “ On a new class of contagious distributions applicable in entomology and bacteriology,” Annals of Mathematical Statistics, vol. 10(1), pp. 35–57, 1939\n[8] M. K. Patil, and D. T. Shirke, “Testing parameter of the power series distribution of a zero-inflated power series model,” Statistical Methodology, vol. 4(4), pp.393–406, 2007.\n[9] M. K. Patil, and D. T. Shirke, “Tests for equality of inflation parameters of two zero-inflated power series distributions,” Communications in Statistics-Theory and Methods, vol. 40(14), pp. 2539–2553, 2011.\n[10] P. Puig, and J.Valero, “Count data distributions: Some characterizations with applications,” Journal of American Statistical Association, vol. 101(473), pp. 332–340, 2006.\n[11] M. Ridout, C.G.B. Demetrio, and J. Hinde, “Models for count data with many zeros,” In International Biometric Conference, Capetown, South Africa, December. 1998\n[12] Y. S.Wagh, and K. K. Kamalja, “Comparison of methods of estimation for parameters of Generalized Poisson distribution through simulation study,” Communications in Statistics-Simulation and Computation, vol. 46(5), pp. 4098–4112, 2017.","attrs_markdown":"[![...](https:\/\/ijmttjournal.org\/public\/assets\/images\/journal\/IJMTT_logo.png)](https:\/\/ijmttjournal.org\/)\n\n#\n- [Home](https:\/\/ijmttjournal.org\/)\n- [Articles](https:\/\/ijmttjournal.org\/archive\/ijmtt-v56p519)\n  - [Current Issue](https:\/\/ijmttjournal.org\/current-issue)\n  - [Archives](https:\/\/ijmttjournal.org\/archive)\n- [Authors](https:\/\/ijmttjournal.org\/archive\/ijmtt-v56p519)\n  - [Author Guidelines](https:\/\/ijmttjournal.org\/author-guideline)\n  - [Policies](https:\/\/ijmttjournal.org\/policies)\n  - [Downloads](https:\/\/ijmttjournal.org\/downloads)\n- [Editors](https:\/\/ijmttjournal.org\/for-editors)\n- [Reviewers](https:\/\/ijmttjournal.org\/for-reviewer)\n\n![...](https:\/\/ijmttjournal.org\/public\/assets\/images\/journal\/IJMTT_banner.jpg)\n\nInternational Journal of Mathematics Trends and Technology\n\n###### **Research Article \\| Open Access [\\|  Download PDF](https:\/\/ijmttjournal.org\/public\/assets\/volume-56\/number-2\/IJMTT-V56P519.pdf)**\nVolume 56 \\| Number 2 \\| Year 2018 \\| Article Id. IJMTT-V56P519 [\\| DOI : https:\/\/doi.org\/10.14445\/22315373\/IJMTT-V56P519](https:\/\/doi.org\/10.14445\/22315373\/IJMTT-V56P519)\n\n### Estimation of Zero-Inflation Parameter in Zero-Inflated Poisson Model\n***\n**K.M. Sakthivel, C.S. Rajitha**\n\n##### **Citation :**\nK.M. Sakthivel, C.S. Rajitha, \"Estimation of Zero-Inflation Parameter in Zero-Inflated Poisson Model,\" *International Journal of Mathematics Trends and Technology (IJMTT)*, vol. 56, no. 2, pp. 135-140, 2018. *Crossref*, <https:\/\/doi.org\/10.14445\/22315373\/IJMTT-V56P519>\n\n##### **Abstract**\nThe modelling of count data is extensively used in many fields of research. There is handful of zero-inflated probability models available in literature. Among these models, zero inflated Poisson distribution is one of the widely used models for modelling data with excess number of zeros. In all the zero-inflated models, one can have parameter called zero-inflation parameter which is in addition to the number of parameters in underlying distribution. The estimation of the zero-inflation parameter of the zeroinflated Poisson (ZIP) models by MLE do not have an explicit expression and solved iteratively by using modern computing techniques. In this paper, we proposed a probability based inflation estimator (PBIE) for making inferences about the inflation parameter of the ZIP model and also studied the performance of the proposed estimator for simulated data.\n\n##### **Keywords**\nmean squared error, MLE, moment estimators, zero-inflation Parameter, zero-Inflated Poisson Model.\n\n##### **References**\n\\[1\\] S. Beckett, J. Jee, T. Ncube, , S. Pompilus, Q.Washington, A. Singh, and N. Pal, “Zero-inflated Poisson (ZIP) distribution: parameter estimation and applications to model data from natural calamities,” Involve: A Journal of Mathematics, vol.7(6),pp. 751–767, 2014.  \n\\[2\\] P.C. Consul, and G.C Jain, “On some interesting properties of the generalized Poisson distribution,” Biometrical Journal, vol. 15, pp. 495–500, 1973b.  \n\\[3\\] F.Famoye, “Parameter estimation for generalized negative binomial distribution,” Communications in Statistics-Simulation and Computation, vol. 26(1), pp. 269–279, 1997  \n\\[4\\] W. Feller, “On a general class of contagious distributions,” Annals of Mathematical Statistics, vol.14 (4), pp.389–400, 1943.  \n\\[5\\] D. Lambert, “Zero-inflated Poisson regression with an application to defects in manufacturing,” Technometrics, vol. 34(1),pp. 1–14, 1992.  \n\\[6\\] G. Nanjundan, and T. R. Naika,. “Asymptotic comparison of method of moments estimators and maximumlikelihood estimators of parameters in zero-inflated poissonmodel,” AppliedMathematics, vol. 3, pp. 610–616, 2012.  \n\\[7\\] J. Neyman, “ On a new class of contagious distributions applicable in entomology and bacteriology,” Annals of Mathematical Statistics, vol. 10(1), pp. 35–57, 1939  \n\\[8\\] M. K. Patil, and D. T. Shirke, “Testing parameter of the power series distribution of a zero-inflated power series model,” Statistical Methodology, vol. 4(4), pp.393–406, 2007.  \n\\[9\\] M. K. Patil, and D. T. Shirke, “Tests for equality of inflation parameters of two zero-inflated power series distributions,” Communications in Statistics-Theory and Methods, vol. 40(14), pp. 2539–2553, 2011.  \n\\[10\\] P. Puig, and J.Valero, “Count data distributions: Some characterizations with applications,” Journal of American Statistical Association, vol. 101(473), pp. 332–340, 2006.  \n\\[11\\] M. Ridout, C.G.B. Demetrio, and J. Hinde, “Models for count data with many zeros,” In International Biometric Conference, Capetown, South Africa, December. 1998  \n\\[12\\] Y. S.Wagh, and K. K. Kamalja, “Comparison of methods of estimation for parameters of Generalized Poisson distribution through simulation study,” Communications in Statistics-Simulation and Computation, vol. 46(5), pp. 4098–4112, 2017.\n\n- [![](https:\/\/ijmttjournal.org\/public\/images\/pdf.svg)PDF](https:\/\/ijmttjournal.org\/public\/assets\/volume-56\/number-2\/IJMTT-V56P519.pdf)\n- [![](https:\/\/ijmttjournal.org\/public\/images\/citation.svg)Citation]()\n- [![](https:\/\/ijmttjournal.org\/public\/images\/abstract.svg)Abstract]()\n- [![](https:\/\/ijmttjournal.org\/public\/images\/keywords.svg)Keywords]()\n- [![](https:\/\/ijmttjournal.org\/public\/images\/references.svg)References]()\n\n[![](https:\/\/ijmttjournal.org\/public\/images\/nav\/citation.svg) Citation]()   [![](https:\/\/ijmttjournal.org\/public\/images\/nav\/abstract.svg) Abstract]()   [![](https:\/\/ijmttjournal.org\/public\/images\/nav\/keywords.svg) Keywords]()   [![](https:\/\/ijmttjournal.org\/public\/images\/nav\/references.svg) References]()\n\n- [Home](https:\/\/ijmttjournal.org\/)\n- [Authors Guidelines](https:\/\/ijmttjournal.org\/author-guideline)\n- [Paper Submission](https:\/\/ijmttjournal.org\/submission)\n\n- [APC](https:\/\/ijmttjournal.org\/apc)\n- [Archives](https:\/\/ijmttjournal.org\/archive)\n- [Downloads](https:\/\/ijmttjournal.org\/downloads)\n\n- [Open Access](https:\/\/ijmttjournal.org\/openaccess-author)\n- [Publication Ethics](https:\/\/ijmttjournal.org\/publication-ethics)\n- [Copyrights Infringement](https:\/\/ijmttjournal.org\/copyright-infringement)\n\n- [Journals](https:\/\/ijmttjournal.org\/ssrg-journals)\n- [FAQ](https:\/\/ijmttjournal.org\/faq)\n- [Contact Us](https:\/\/ijmttjournal.org\/contact-us)\n\n### Follow Us\n[![](https:\/\/ijmttjournal.org\/public\/images\/twitterx.png)](https:\/\/twitter.com\/ssrg_research)\n\nCopyright © 2026 **Seventh Sense Research Group®** . All Rights Reserved","attrs_readable_markdown":"**K.M. Sakthivel, C.S. Rajitha**\n\n##### **Citation :**\nK.M. Sakthivel, C.S. Rajitha, \"Estimation of Zero-Inflation Parameter in Zero-Inflated Poisson Model,\" *International Journal of Mathematics Trends and Technology (IJMTT)*, vol. 56, no. 2, pp. 135-140, 2018. *Crossref*, <https:\/\/doi.org\/10.14445\/22315373\/IJMTT-V56P519>\n\n##### **Abstract**\nThe modelling of count data is extensively used in many fields of research. There is handful of zero-inflated probability models available in literature. Among these models, zero inflated Poisson distribution is one of the widely used models for modelling data with excess number of zeros. In all the zero-inflated models, one can have parameter called zero-inflation parameter which is in addition to the number of parameters in underlying distribution. The estimation of the zero-inflation parameter of the zeroinflated Poisson (ZIP) models by MLE do not have an explicit expression and solved iteratively by using modern computing techniques. In this paper, we proposed a probability based inflation estimator (PBIE) for making inferences about the inflation parameter of the ZIP model and also studied the performance of the proposed estimator for simulated data.\n\n##### **Keywords**\nmean squared error, MLE, moment estimators, zero-inflation Parameter, zero-Inflated Poisson Model.\n\n##### **References**\n\\[1\\] S. Beckett, J. Jee, T. Ncube, , S. Pompilus, Q.Washington, A. Singh, and N. Pal, “Zero-inflated Poisson (ZIP) distribution: parameter estimation and applications to model data from natural calamities,” Involve: A Journal of Mathematics, vol.7(6),pp. 751–767, 2014.  \n\\[2\\] P.C. Consul, and G.C Jain, “On some interesting properties of the generalized Poisson distribution,” Biometrical Journal, vol. 15, pp. 495–500, 1973b.  \n\\[3\\] F.Famoye, “Parameter estimation for generalized negative binomial distribution,” Communications in Statistics-Simulation and Computation, vol. 26(1), pp. 269–279, 1997  \n\\[4\\] W. Feller, “On a general class of contagious distributions,” Annals of Mathematical Statistics, vol.14 (4), pp.389–400, 1943.  \n\\[5\\] D. Lambert, “Zero-inflated Poisson regression with an application to defects in manufacturing,” Technometrics, vol. 34(1),pp. 1–14, 1992.  \n\\[6\\] G. Nanjundan, and T. R. Naika,. “Asymptotic comparison of method of moments estimators and maximumlikelihood estimators of parameters in zero-inflated poissonmodel,” AppliedMathematics, vol. 3, pp. 610–616, 2012.  \n\\[7\\] J. Neyman, “ On a new class of contagious distributions applicable in entomology and bacteriology,” Annals of Mathematical Statistics, vol. 10(1), pp. 35–57, 1939  \n\\[8\\] M. K. Patil, and D. T. Shirke, “Testing parameter of the power series distribution of a zero-inflated power series model,” Statistical Methodology, vol. 4(4), pp.393–406, 2007.  \n\\[9\\] M. K. Patil, and D. T. Shirke, “Tests for equality of inflation parameters of two zero-inflated power series distributions,” Communications in Statistics-Theory and Methods, vol. 40(14), pp. 2539–2553, 2011.  \n\\[10\\] P. Puig, and J.Valero, “Count data distributions: Some characterizations with applications,” Journal of American Statistical Association, vol. 101(473), pp. 332–340, 2006.  \n\\[11\\] M. Ridout, C.G.B. Demetrio, and J. Hinde, “Models for count data with many zeros,” In International Biometric Conference, Capetown, South Africa, December. 1998  \n\\[12\\] Y. S.Wagh, and K. K. Kamalja, “Comparison of methods of estimation for parameters of Generalized Poisson distribution through simulation study,” Communications in Statistics-Simulation and Computation, vol. 46(5), pp. 4098–4112, 2017.","meta_canonical":null,"ml_categories_json":"","ml_types_json":"","ml_intent_types_json":"","meta_language":"en","attrs_author":null,"attrs_publish_time":0,"attrs_original_publish_time":1549269235,"attrs_is_republished":0,"attrs_nr_words":"585","attrs_boilerpipe_nr_words":"485","body_ext_links_number":4,"body_int_links_number":19,"meta_nofollow":0,"meta_noarchive":0,"props_was_rendered":0,"src_redirect":"","download_time_msec":1632,"download_ttfb_msec":1631,"download_size":28782}

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CRAWLED

5 days ago

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Filter	Status	Condition	Details
HTTP status	PASS	`download_http_code = 200`	HTTP 200
Age cutoff	PASS	`download_stamp > now() - 6 MONTH`	0.2 months ago
History drop	PASS	`isNull(history_drop_reason)`	No drop reason
Spam/ban	PASS	`fh_dont_index != 1 AND ml_spam_score = 0`	ml_spam_score=0
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URL	https://ijmttjournal.org/archive/ijmtt-v56p519
Last Crawled	2026-04-18 07:31:22 (5 days ago)
First Indexed	2019-02-04 08:33:55 (7 years ago)
HTTP Status Code	200
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Meta Title	Estimation of Zero-Inflation Parameter in Zero-Inflated Poisson Model
Meta Description	The modelling of count data is extensively used in many fields of research. There is handful of zero-inflated probability models available in literature. Among these models, zero inflated Poisson distribution is one of the widely used models for modelling data with excess number of zeros. In all the zero-inflated models, one can have parameter called zero-inflation parameter which is in addition to the number of parameters in underlying distribution. The estimation of the zero-inflation parameter of the zeroinflated Poisson (ZIP) models by MLE do not have an explicit expression and solved iteratively by using modern computing techniques. In this paper, we proposed a probability based inflation estimator (PBIE) for making inferences about the inflation parameter of the ZIP model and also studied the performance of the proposed estimator for simulated data.
Meta Canonical	null
Boilerpipe Text	K.M. Sakthivel, C.S. Rajitha Citation : K.M. Sakthivel, C.S. Rajitha, "Estimation of Zero-Inflation Parameter in Zero-Inflated Poisson Model," International Journal of Mathematics Trends and Technology (IJMTT) , vol. 56, no. 2, pp. 135-140, 2018. Crossref , https://doi.org/10.14445/22315373/IJMTT-V56P519 Abstract The modelling of count data is extensively used in many fields of research. There is handful of zero-inflated probability models available in literature. Among these models, zero inflated Poisson distribution is one of the widely used models for modelling data with excess number of zeros. In all the zero-inflated models, one can have parameter called zero-inflation parameter which is in addition to the number of parameters in underlying distribution. The estimation of the zero-inflation parameter of the zeroinflated Poisson (ZIP) models by MLE do not have an explicit expression and solved iteratively by using modern computing techniques. In this paper, we proposed a probability based inflation estimator (PBIE) for making inferences about the inflation parameter of the ZIP model and also studied the performance of the proposed estimator for simulated data. Keywords mean squared error, MLE, moment estimators, zero-inflation Parameter, zero-Inflated Poisson Model. References [1] S. Beckett, J. Jee, T. Ncube, , S. Pompilus, Q.Washington, A. Singh, and N. Pal, “Zero-inflated Poisson (ZIP) distribution: parameter estimation and applications to model data from natural calamities,” Involve: A Journal of Mathematics, vol.7(6),pp. 751–767, 2014. [2] P.C. Consul, and G.C Jain, “On some interesting properties of the generalized Poisson distribution,” Biometrical Journal, vol. 15, pp. 495–500, 1973b. [3] F.Famoye, “Parameter estimation for generalized negative binomial distribution,” Communications in Statistics-Simulation and Computation, vol. 26(1), pp. 269–279, 1997 [4] W. Feller, “On a general class of contagious distributions,” Annals of Mathematical Statistics, vol.14 (4), pp.389–400, 1943. [5] D. Lambert, “Zero-inflated Poisson regression with an application to defects in manufacturing,” Technometrics, vol. 34(1),pp. 1–14, 1992. [6] G. Nanjundan, and T. R. Naika,. “Asymptotic comparison of method of moments estimators and maximumlikelihood estimators of parameters in zero-inflated poissonmodel,” AppliedMathematics, vol. 3, pp. 610–616, 2012. [7] J. Neyman, “ On a new class of contagious distributions applicable in entomology and bacteriology,” Annals of Mathematical Statistics, vol. 10(1), pp. 35–57, 1939 [8] M. K. Patil, and D. T. Shirke, “Testing parameter of the power series distribution of a zero-inflated power series model,” Statistical Methodology, vol. 4(4), pp.393–406, 2007. [9] M. K. Patil, and D. T. Shirke, “Tests for equality of inflation parameters of two zero-inflated power series distributions,” Communications in Statistics-Theory and Methods, vol. 40(14), pp. 2539–2553, 2011. [10] P. Puig, and J.Valero, “Count data distributions: Some characterizations with applications,” Journal of American Statistical Association, vol. 101(473), pp. 332–340, 2006. [11] M. Ridout, C.G.B. Demetrio, and J. Hinde, “Models for count data with many zeros,” In International Biometric Conference, Capetown, South Africa, December. 1998 [12] Y. S.Wagh, and K. K. Kamalja, “Comparison of methods of estimation for parameters of Generalized Poisson distribution through simulation study,” Communications in Statistics-Simulation and Computation, vol. 46(5), pp. 4098–4112, 2017.
Markdown	[![...](https://ijmttjournal.org/public/assets/images/journal/IJMTT_logo.png)](https://ijmttjournal.org/) # - [Home](https://ijmttjournal.org/) - [Articles](https://ijmttjournal.org/archive/ijmtt-v56p519) - [Current Issue](https://ijmttjournal.org/current-issue) - [Archives](https://ijmttjournal.org/archive) - [Authors](https://ijmttjournal.org/archive/ijmtt-v56p519) - [Author Guidelines](https://ijmttjournal.org/author-guideline) - [Policies](https://ijmttjournal.org/policies) - [Downloads](https://ijmttjournal.org/downloads) - [Editors](https://ijmttjournal.org/for-editors) - [Reviewers](https://ijmttjournal.org/for-reviewer) ![...](https://ijmttjournal.org/public/assets/images/journal/IJMTT_banner.jpg) International Journal of Mathematics Trends and Technology ###### Research Article \\| Open Access [\\| Download PDF](https://ijmttjournal.org/public/assets/volume-56/number-2/IJMTT-V56P519.pdf) Volume 56 \\| Number 2 \\| Year 2018 \\| Article Id. IJMTT-V56P519 [\\| DOI : https://doi.org/10.14445/22315373/IJMTT-V56P519](https://doi.org/10.14445/22315373/IJMTT-V56P519) ### Estimation of Zero-Inflation Parameter in Zero-Inflated Poisson Model * K.M. Sakthivel, C.S. Rajitha ##### Citation :** K.M. Sakthivel, C.S. Rajitha, "Estimation of Zero-Inflation Parameter in Zero-Inflated Poisson Model," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 2, pp. 135-140, 2018. Crossref, <https://doi.org/10.14445/22315373/IJMTT-V56P519> ##### Abstract The modelling of count data is extensively used in many fields of research. There is handful of zero-inflated probability models available in literature. Among these models, zero inflated Poisson distribution is one of the widely used models for modelling data with excess number of zeros. In all the zero-inflated models, one can have parameter called zero-inflation parameter which is in addition to the number of parameters in underlying distribution. The estimation of the zero-inflation parameter of the zeroinflated Poisson (ZIP) models by MLE do not have an explicit expression and solved iteratively by using modern computing techniques. In this paper, we proposed a probability based inflation estimator (PBIE) for making inferences about the inflation parameter of the ZIP model and also studied the performance of the proposed estimator for simulated data. ##### Keywords mean squared error, MLE, moment estimators, zero-inflation Parameter, zero-Inflated Poisson Model. ##### References \[1\] S. Beckett, J. Jee, T. Ncube, , S. Pompilus, Q.Washington, A. Singh, and N. Pal, “Zero-inflated Poisson (ZIP) distribution: parameter estimation and applications to model data from natural calamities,” Involve: A Journal of Mathematics, vol.7(6),pp. 751–767, 2014. \[2\] P.C. Consul, and G.C Jain, “On some interesting properties of the generalized Poisson distribution,” Biometrical Journal, vol. 15, pp. 495–500, 1973b. \[3\] F.Famoye, “Parameter estimation for generalized negative binomial distribution,” Communications in Statistics-Simulation and Computation, vol. 26(1), pp. 269–279, 1997 \[4\] W. Feller, “On a general class of contagious distributions,” Annals of Mathematical Statistics, vol.14 (4), pp.389–400, 1943. \[5\] D. Lambert, “Zero-inflated Poisson regression with an application to defects in manufacturing,” Technometrics, vol. 34(1),pp. 1–14, 1992. \[6\] G. Nanjundan, and T. R. Naika,. “Asymptotic comparison of method of moments estimators and maximumlikelihood estimators of parameters in zero-inflated poissonmodel,” AppliedMathematics, vol. 3, pp. 610–616, 2012. \[7\] J. Neyman, “ On a new class of contagious distributions applicable in entomology and bacteriology,” Annals of Mathematical Statistics, vol. 10(1), pp. 35–57, 1939 \[8\] M. K. Patil, and D. T. Shirke, “Testing parameter of the power series distribution of a zero-inflated power series model,” Statistical Methodology, vol. 4(4), pp.393–406, 2007. \[9\] M. K. Patil, and D. T. Shirke, “Tests for equality of inflation parameters of two zero-inflated power series distributions,” Communications in Statistics-Theory and Methods, vol. 40(14), pp. 2539–2553, 2011. \[10\] P. Puig, and J.Valero, “Count data distributions: Some characterizations with applications,” Journal of American Statistical Association, vol. 101(473), pp. 332–340, 2006. \[11\] M. Ridout, C.G.B. Demetrio, and J. Hinde, “Models for count data with many zeros,” In International Biometric Conference, Capetown, South Africa, December. 1998 \[12\] Y. S.Wagh, and K. K. Kamalja, “Comparison of methods of estimation for parameters of Generalized Poisson distribution through simulation study,” Communications in Statistics-Simulation and Computation, vol. 46(5), pp. 4098–4112, 2017. - [![](https://ijmttjournal.org/public/images/pdf.svg)PDF](https://ijmttjournal.org/public/assets/volume-56/number-2/IJMTT-V56P519.pdf) - [![](https://ijmttjournal.org/public/images/citation.svg)Citation]() - [![](https://ijmttjournal.org/public/images/abstract.svg)Abstract]() - [![](https://ijmttjournal.org/public/images/keywords.svg)Keywords]() - [![](https://ijmttjournal.org/public/images/references.svg)References]() [![](https://ijmttjournal.org/public/images/nav/citation.svg) Citation]() [![](https://ijmttjournal.org/public/images/nav/abstract.svg) Abstract]() [![](https://ijmttjournal.org/public/images/nav/keywords.svg) Keywords]() [![](https://ijmttjournal.org/public/images/nav/references.svg) References]() - [Home](https://ijmttjournal.org/) - [Authors Guidelines](https://ijmttjournal.org/author-guideline) - [Paper Submission](https://ijmttjournal.org/submission) - [APC](https://ijmttjournal.org/apc) - [Archives](https://ijmttjournal.org/archive) - [Downloads](https://ijmttjournal.org/downloads) - [Open Access](https://ijmttjournal.org/openaccess-author) - [Publication Ethics](https://ijmttjournal.org/publication-ethics) - [Copyrights Infringement](https://ijmttjournal.org/copyright-infringement) - [Journals](https://ijmttjournal.org/ssrg-journals) - [FAQ](https://ijmttjournal.org/faq) - [Contact Us](https://ijmttjournal.org/contact-us) ### Follow Us [![](https://ijmttjournal.org/public/images/twitterx.png)](https://twitter.com/ssrg_research) Copyright © 2026 Seventh Sense Research Group® . 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Readable Markdown	K.M. Sakthivel, C.S. Rajitha ##### Citation : K.M. Sakthivel, C.S. Rajitha, "Estimation of Zero-Inflation Parameter in Zero-Inflated Poisson Model," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 2, pp. 135-140, 2018. Crossref, <https://doi.org/10.14445/22315373/IJMTT-V56P519> ##### Abstract The modelling of count data is extensively used in many fields of research. There is handful of zero-inflated probability models available in literature. Among these models, zero inflated Poisson distribution is one of the widely used models for modelling data with excess number of zeros. In all the zero-inflated models, one can have parameter called zero-inflation parameter which is in addition to the number of parameters in underlying distribution. The estimation of the zero-inflation parameter of the zeroinflated Poisson (ZIP) models by MLE do not have an explicit expression and solved iteratively by using modern computing techniques. In this paper, we proposed a probability based inflation estimator (PBIE) for making inferences about the inflation parameter of the ZIP model and also studied the performance of the proposed estimator for simulated data. ##### Keywords mean squared error, MLE, moment estimators, zero-inflation Parameter, zero-Inflated Poisson Model. ##### References \[1\] S. Beckett, J. Jee, T. Ncube, , S. Pompilus, Q.Washington, A. Singh, and N. Pal, “Zero-inflated Poisson (ZIP) distribution: parameter estimation and applications to model data from natural calamities,” Involve: A Journal of Mathematics, vol.7(6),pp. 751–767, 2014. \[2\] P.C. Consul, and G.C Jain, “On some interesting properties of the generalized Poisson distribution,” Biometrical Journal, vol. 15, pp. 495–500, 1973b. \[3\] F.Famoye, “Parameter estimation for generalized negative binomial distribution,” Communications in Statistics-Simulation and Computation, vol. 26(1), pp. 269–279, 1997 \[4\] W. Feller, “On a general class of contagious distributions,” Annals of Mathematical Statistics, vol.14 (4), pp.389–400, 1943. \[5\] D. Lambert, “Zero-inflated Poisson regression with an application to defects in manufacturing,” Technometrics, vol. 34(1),pp. 1–14, 1992. \[6\] G. Nanjundan, and T. R. Naika,. “Asymptotic comparison of method of moments estimators and maximumlikelihood estimators of parameters in zero-inflated poissonmodel,” AppliedMathematics, vol. 3, pp. 610–616, 2012. \[7\] J. Neyman, “ On a new class of contagious distributions applicable in entomology and bacteriology,” Annals of Mathematical Statistics, vol. 10(1), pp. 35–57, 1939 \[8\] M. K. Patil, and D. T. Shirke, “Testing parameter of the power series distribution of a zero-inflated power series model,” Statistical Methodology, vol. 4(4), pp.393–406, 2007. \[9\] M. K. Patil, and D. T. Shirke, “Tests for equality of inflation parameters of two zero-inflated power series distributions,” Communications in Statistics-Theory and Methods, vol. 40(14), pp. 2539–2553, 2011. \[10\] P. Puig, and J.Valero, “Count data distributions: Some characterizations with applications,” Journal of American Statistical Association, vol. 101(473), pp. 332–340, 2006. \[11\] M. Ridout, C.G.B. Demetrio, and J. Hinde, “Models for count data with many zeros,” In International Biometric Conference, Capetown, South Africa, December. 1998 \[12\] Y. S.Wagh, and K. K. Kamalja, “Comparison of methods of estimation for parameters of Generalized Poisson distribution through simulation study,” Communications in Statistics-Simulation and Computation, vol. 46(5), pp. 4098–4112, 2017.
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