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Original Articles

Score Test for Zero Inflated Generalized Poisson Regression Model

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Pages 47-64 | Published online: 16 Aug 2006

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E. Gómez–Déniz, D. I. Gallardo & H. W. Gómez. (2020) Quasi-binomial zero-inflated regression model suitable for variables with bounded support. Journal of Applied Statistics 47:12, pages 2208-2229.
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Katherine E.C. Zavaleta, Vicente G. Cancho & Artur J. Lemonte. (2019) Likelihood-based tests in zero-inflated power series models. Journal of Statistical Computation and Simulation 89:3, pages 443-460.
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Rezaei Ghahroodi Z.. (2018) Analysis of mixed correlated semi-continuous and β-inflated Poisson responses. Communications in Statistics - Simulation and Computation 47:10, pages 2992-3007.
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R. Aliakbari Saba, Z. Rezaei Ghahroodi, K. Kiani & D. M. Berridge. (2017) Mean and cell-mean imputation resulting in the use of a semicontinuous distribution and a mixture of semicontinuous distributions. Communications in Statistics - Theory and Methods 46:23, pages 11450-11465.
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Feng-Chang Xie, Jin-Guan Lin & Bo-Cheng Wei. (2017) Score test for homogeneity of dispersion in generalized Poisson mixed models with excess zeros. Communications in Statistics - Simulation and Computation 46:1, pages 301-314.
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Emilio Gómez Déniz & José María Sarabia. (2016) A discrete distribution including the Poisson. Communications in Statistics - Theory and Methods 45:8, pages 2311-2322.
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M. Mersad, M. Ganjali & F. Rivaz. (2015) Some extensions of zero-inflated models and Bayesian tests for them. Journal of Statistical Computation and Simulation 85:18, pages 3792-3810.
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Weihua Zhao, Riquan Zhang, Jicai Liu & Yazhao Lv. (2015) Semi Varying Coefficient Zero-Inflated Generalized Poisson Regression Model. Communications in Statistics - Theory and Methods 44:1, pages 171-185.
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Feng-Chang Xie, Jin-Guan Lin & Bo-Cheng Wei. (2014) Bayesian zero-inflated generalized Poisson regression model: estimation and case influence diagnostics. Journal of Applied Statistics 41:6, pages 1383-1392.
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E. Bahrami Samani, Y. Amirian & M. Ganjali. (2012) Likelihood estimation for longitudinal zero-inflated power series regression models. Journal of Applied Statistics 39:9, pages 1965-1974.
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E. Bahrami Samani, M. Ganjali & Y. Amirian. (2012) Zero-Inflated Power Series Joint Model to Analyze Count Data with Missing Responses. Journal of Statistical Theory and Practice 6:2, pages 334-343.
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Liming Xiang & Guo Shou Teo. (2011) A Note on Tests for Zero-Inflation in Correlated Count Data. Communications in Statistics - Simulation and Computation 40:7, pages 992-1005.
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M.K. Patil & D.T. Shirke. (2011) Tests for Equality of Inflation Parameters of Two Zero-Inflated Power Series Distributions. Communications in Statistics - Theory and Methods 40:14, pages 2539-2553.
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Feng-Chang Xie, Jin-Guan Lin & Bo-Cheng Wei. (2010) Testing for varying zero-inflation and dispersion in generalized Poisson regression models. Journal of Applied Statistics 37:9, pages 1509-1522.
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Zhao Yang, JamesW. Hardin & CherylL. Addy. (2010) Score Tests for Zero-Inflation in Overdispersed Count Data. Communications in Statistics - Theory and Methods 39:11, pages 2008-2030.
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Feng-Chang Xie & Bo-Cheng Wei. (2009) Diagnostics for generalized Poisson regression models with errors in variables. Journal of Statistical Computation and Simulation 79:7, pages 909-922.
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Seong-Keon Lee & Seohoon Jin. (2006) Decision tree approaches for zero-inflated count data. Journal of Applied Statistics 33:8, pages 853-865.
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Rogério A. Santana, Katiane S. Conceição, Carlos A. R. Diniz & Marinho G. Andrade. (2021) Type I multivariate zero‐inflated COM–Poisson regression model. Biometrical Journal 64:3, pages 481-505.
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Qiao Fan, Shuming Sun & Yi‐Ju Li. (2021) Precisely modeling zero‐inflated count phenotype for rare variants. Genetic Epidemiology 46:1, pages 73-86.
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Derek S. Young, Eric S. Roemmele & Peng Yeh. (2020) Zero‐inflated modeling part I: Traditional zero‐inflated count regression models, their applications, and computational tools . WIREs Computational Statistics 14:1.
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Moritz Berger & Gerhard Tutz. (2021) Transition models for count data: a flexible alternative to fixed distribution models. Statistical Methods & Applications 30:4, pages 1259-1283.
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Yi Tang & Wan Tang. (2018) Testing modified zeros for Poisson regression models. Statistical Methods in Medical Research 28:10-11, pages 3123-3141.
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Shin Zhu Sim, Ramesh C. Gupta & Seng Huat Ong. (2018) Zero-inflated Conway-Maxwell Poisson Distribution to Analyze Discrete Data. The International Journal of Biostatistics 14:1.
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E. Gómez-Déniz. (2018) Adding a parameter to the exponential and Weibull distributions with applications. Mathematics and Computers in Simulation 144, pages 108-119.
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. 2018. Statistical Methods for Overdispersed Count Data. Statistical Methods for Overdispersed Count Data 173 178 .
Feng-chang Xie, Jin-guan Lin & Bo-cheng Wei. (2017) Score tests for zero-inflated double poisson regression models. Acta Mathematicae Applicatae Sinica, English Series 33:4, pages 851-864.
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J. Christopher Westland. (2017) An empirical investigation of analytical procedures using mixture distributions. Intelligent Systems in Accounting, Finance and Management 24:4, pages 111-124.
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Antonio J. Sáez-Castillo & Antonio Conde-Sánchez. (2015) Detecting over- and under-dispersion in zero inflated data with the hyper-Poisson regression model. Statistical Papers 58:1, pages 19-33.
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Afshin Almasi, Mohammad Reza Eshraghian, Abbas Moghimbeigi, Abbas Rahimi, Kazem Mohammad & Sadegh Fallahigilan. (2016) Multilevel zero-inflated Generalized Poisson regression modeling for dispersed correlated count data. Statistical Methodology 30, pages 1-14.
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Evdokia Xekalaki. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online 1 9 .
Emilio Gómez-Déniz & Jorge V. Pérez-Rodríguez. (2014) Closed-form solution for a bivariate distribution in stochastic frontier models with dependent errors. Journal of Productivity Analysis 43:2, pages 215-223.
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Evdokia Xekalaki. (2014) On the distribution theory of over-dispersion. Journal of Statistical Distributions and Applications 1:1.
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Ramesh C. Gupta, S. Z. Sim & S. H. Ong. (2014) Analysis of discrete data by Conway–Maxwell Poisson distribution. AStA Advances in Statistical Analysis 98:4, pages 327-343.
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Claudia Czado, Holger Schabenberger & Vinzenz Erhardt. (2013) Non nested model selection for spatial count regression models with application to health insurance. Statistical Papers 55:2, pages 455-476.
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Bayo H. Lawal. (2010) Zero-inflated count regression models with applications to some examples. Quality & Quantity 46:1, pages 19-38.
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Dong-Seok Kim, Seul-Gi Jeong & Dong-Hee Lee. (2011) Bivariate Zero-Inflated Negative Binomial Regression Model with Heterogeneous Dispersions. Communications for Statistical Applications and Methods 18:5, pages 571-579.
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Patil Maruti Krishna & Shirke Digambar Tukaram. (2011) Bivariate Zero-Inflated Power Series Distribution. Applied Mathematics 02:07, pages 824-829.
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JungBok Lee, Byoung Cheol Jung & Seo Hoon Jin. (2009) Tests for zero inflation in a bivariate zero-inflated Poisson model. Statistica Neerlandica 63:4, pages 400-417.
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Zhao Yang, James W. Hardin & Cheryl L. Addy. (2009) Testing overdispersion in the zero-inflated Poisson model. Journal of Statistical Planning and Inference 139:9, pages 3340-3353.
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Feng-Chang Xie, Bo-Cheng Wei & Jin-Guan Lin. (2009) Score tests for zero-inflated generalized Poisson mixed regression models. Computational Statistics & Data Analysis 53:9, pages 3478-3489.
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Feng‐Chang Xie, Bo‐Cheng Wei & Jin‐Guan Lin. (2008) Assessing influence for pharmaceutical data in zero‐inflated generalized Poisson mixed models. Statistics in Medicine 27:18, pages 3656-3673.
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M.K. Patil & D.T. Shirke. (2007) Testing parameter of the power series distribution of a zero inflated power series model. Statistical Methodology 4:4, pages 393-406.
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Claudia CzadoVinzenz ErhardtAleksey MinStefan Wagner. (2016) Zero-inflated generalized Poisson models with regression effects on the mean, dispersion and zero-inflation level applied to patent outsourcing rates. Statistical Modelling 7:2, pages 125-153.
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