310
Views
106
CrossRef citations to date
0
Altmetric
Original Articles

Restricted generalized poisson regression model

Pages 1335-1354 | Received 01 Dec 1991, Published online: 27 Jun 2007

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (19)

Kimberly S. Weems, Kimberly F. Sellers & Tong Li. (2023) A flexible bivariate distribution for count data expressing data dispersion. Communications in Statistics - Theory and Methods 52:13, pages 4692-4718.
Read now
Yisu Jia, Stefanos Kechagias, James Livsey, Robert Lund & Vladas Pipiras. (2023) Latent Gaussian Count Time Series. Journal of the American Statistical Association 118:541, pages 596-606.
Read now
Shehu Bala & Usman Abubakar Umar. (2022) Extension of generalized Poisson log-linear regression models for analysing three-way contingency table: Application to malaria data. Communications in Statistics: Case Studies, Data Analysis and Applications 8:4, pages 634-648.
Read now
Felix Famoye & John S. Preisser. (2018) Marginalized zero-inflated generalized Poisson regression. Journal of Applied Statistics 45:7, pages 1247-1259.
Read now
Kimberly F. Sellers & Darcy S. Morris. (2017) Underdispersion models: Models that are “under the radar”. Communications in Statistics - Theory and Methods 46:24, pages 12075-12086.
Read now
Felix Famoye & Carl Lee. (2017) Exponentiated-exponential geometric regression model. Journal of Applied Statistics 44:16, pages 2963-2977.
Read now
Sangyeol Lee, Youngmi Lee & Cathy W.S. Chen. (2016) Parameter change test for zero-inflated generalized Poisson autoregressive models. Statistics 50:3, pages 540-557.
Read now
KimberlyF. Sellers & Galit Shmueli. (2013) Data Dispersion: Now You See It… Now You Don't. Communications in Statistics - Theory and Methods 42:17, pages 3134-3147.
Read now
N. Mamode Khan & V. Jowaheer. (2013) Comparing Joint GQL Estimation and GMM Adaptive Estimation in COM-Poisson Longitudinal Regression Model. Communications in Statistics - Simulation and Computation 42:4, pages 755-770.
Read now
Vera Hofer & Johannes Leitner. (2012) A bivariate Sarmanov regression model for count data with generalised Poisson marginals. Journal of Applied Statistics 39:12, pages 2599-2617.
Read now
Felix Famoye. (2012) Comparisons of some bivariate regression models. Journal of Statistical Computation and Simulation 82:7, pages 937-949.
Read now
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.
Read now
Feng-Chang Xie & Bo-Cheng Wei. (2010) Influence analysis for count data based on generalized Poisson regression models. Statistics 44:4, pages 341-360.
Read now
İlknur Özmen & Haydar Demirhan. (2010) A Bayesian Approach for Zero-Inflated Count Regression Models by Using the Reversible Jump Markov Chain Monte Carlo Method and an Application. Communications in Statistics - Theory and Methods 39:12, pages 2109-2127.
Read now
Felix Famoye. (2010) On the bivariate negative binomial regression model. Journal of Applied Statistics 37:6, pages 969-981.
Read now
Wen-Jen Tsay. (2009) The Fertility of Second-Generation Political Immigrants in Taiwan. Journal of Immigrant & Refugee Studies 7:2, pages 109-128.
Read now
Feng-Chang Xie & Bo-Cheng Wei. (2007) Diagnostics analysis in censored generalized Poisson regression model. Journal of Statistical Computation and Simulation 77:8, pages 695-708.
Read now
JohnC. Kern II & SusanM. Cohen. (2005) Menopausal Symptom Relief with Acupuncture: Bayesian Analysis Using Piecewise Regression. Communications in Statistics - Simulation and Computation 34:3, pages 783-798.
Read now
J. M. C. Santos Silva. (1997) Generalized poisson regression for positive count data. Communications in Statistics - Simulation and Computation 26:3, pages 1089-1102.
Read now

Articles from other publishers (87)

Sudhansu S. Maiti, Molay Kumar Ruidas & Sumanta Adhya. (2022) Natural Discrete One Parameter Polynomial Exponential Family of Distributions and the Application. Annals of Data Science 11:3, pages 1051-1076.
Crossref
John Kamwele Mutinda & Amos Kipkorir Langat. (2024) Modeling the Impact of Air Pollution and Meteorological Variables on COVID-19 Transmission in Western Cape, South Africa. International Journal of Mathematics and Mathematical Sciences 2024, pages 1-17.
Crossref
Jinling Chi, Jimin Ye & Ying Zhou. (2024) Mapping QTL controlling count traits with excess zeros and ones using a zero‐and‐one‐inflated generalized Poisson regression model. Biometrical Journal 66:3.
Crossref
Xinhui Qiao, Hua He, Liuquan Sun, Shuo Bai & Peng Ye. (2023) Testing latent classes in gut microbiome data using generalized Poisson regression models. Statistics in Medicine 43:1, pages 102-124.
Crossref
Chrysovalantis Malesios, Nikoleta Jones, Alfie Begley & James McGinlay. (2024) Methodological approaches to exploring the spatial variation in social impacts of protected areas: An intercomparison of Bayesian regression modeling approaches and potential implications. Mathematical Biosciences and Engineering 21:3, pages 3816-3837.
Crossref
Malte Jahn. (2023) Artificial Neural Networks and Time Series of Counts: A Class of Nonlinear INGARCH Models. Studies in Nonlinear Dynamics & Econometrics 0:0.
Crossref
Joyeeta Thakur, Monali Goswami & Subho Roy. (2023) Do maternal obstetric morbidity and its concomitants differ between sedente and migrant groups? The case of the Oraon populations of Eastern India. Journal of Biosocial Science 55:6, pages 1044-1063.
Crossref
Morshed Alam, Yeongjin Gwon & Jane Meza. (2023) Bayesian Conway-Maxwell-Poisson (CMP) regression for longitudinal count data. Communications for Statistical Applications and Methods 30:3, pages 291-309.
Crossref
Massimiliano Bonamente. (2023) Systematic errors in the maximum-likelihood regression of Poisson count data: introducing the overdispersed χ2 distribution. Monthly Notices of the Royal Astronomical Society 522:2, pages 1987-2001.
Crossref
Kee Wah Fo, Seng Huat Ong, Choung Min Ng & You Beng Koh. (2023) An alternative hyper-Poisson integer-valued GARCH model with application to polio, internet protocol and COVID-19 data. AIMS Mathematics 8:12, pages 29116-29139.
Crossref
Riry Sriningsih, Bambang Widjanarko Otok & Sutikno. (2023) Determination of the best multivariate adaptive geographically weighted generalized Poisson regression splines model employing generalized cross-validation in dengue fever cases. MethodsX 10, pages 102174.
Crossref
Jamiu S. Olumoh, Osho O. Ajayi & Sauta S. AbdulKadir. (2021) A quasi-negative binomial regression with an application to medical care data. Quality & Quantity 56:5, pages 3029-3052.
Crossref
Nina Velikajne & Miha Moškon. (2022) RhythmCount: A Python package to analyse the rhythmicity in count data. Journal of Computational Science 63, pages 101758.
Crossref
Marcelo Bourguignon & Rodrigo M. R. de Medeiros. (2022) A simple and useful regression model for fitting count data. TEST 31:3, pages 790-827.
Crossref
Douglas Toledo, Cristiane Akemi Umetsu, Antonio Fernando Monteiro Camargo & Idemauro Antonio Rodrigues de Lara. (2022) Flexible models for non-equidispersed count data: comparative performance of parametric models to deal with underdispersion. AStA Advances in Statistical Analysis 106:3, pages 473-497.
Crossref
Seck N.K.G.Ngom A.Noba K.. (2022) Modelling Underdispersed Count Data: Relative Performance of Poisson Model and its Alternatives. African Journal of Mathematics and Statistics Studies 5:3, pages 16-32.
Crossref
Xiaomeng Li & Dipak K. Dey. (2022) Estimation of COVID-19 mortality in the United States using Spatio-temporal Conway Maxwell Poisson model. Spatial Statistics 49, pages 100542.
Crossref
Dian Handayani, Winda Safitri, Amanda Faisa Artari, Vera Maya Santi, Qorry Meidianingsih & Anang Kurnia. Modeling poverty rates with generalized Poisson regression. Modeling poverty rates with generalized Poisson regression.
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.
Crossref
Kimberly F. Sellers, Ali Arab, Sean Melville & Fanyu Cui. (2021) A flexible univariate moving average time-series model for dispersed count data. Journal of Statistical Distributions and Applications 8:1.
Crossref
Dian Handayani, A F Artari, W Safitri, W Rahayu & V M Santi. (2021) Count Regression Models for Analyzing Crime Rates in The East Java Province. Journal of Physics: Conference Series 2123:1, pages 012028.
Crossref
Kimberly F. Sellers & Bailey Premeaux. (2020) Conway–Maxwell–Poisson regression models for dispersed count data . WIREs Computational Statistics 13:6.
Crossref
Guoxin Zuo, Kang Fu, Xianhua Dai & Liwei Zhang. (2021) Generalized Poisson Hurdle Model for Count Data and Its Application in Ear Disease. Entropy 23:9, pages 1206.
Crossref
Ali Raza, Muhammad Tariq Iqbal Khan, Qamar Ali, Tanveer Hussain & Saadia Narjis. (2020) Association between meteorological indicators and COVID-19 pandemic in Pakistan. Environmental Science and Pollution Research 28:30, pages 40378-40393.
Crossref
Carl Lee, Felix Famoye & Alfred Akinsete. (2019) Generalized Count Data Regression Models and Their Applications to Health Care Data. Annals of Data Science 8:2, pages 367-386.
Crossref
Yen-Chun Chou & Benjamin B. M. Shao. (2020) Adoption and Performance of Mobile Sales Channel for e-Retailers: Fit with M-Retail Characteristics and Dependency on e-Retailing. Information Systems Frontiers 23:3, pages 681-694.
Crossref
Q. Ali, A. Raza, S. Saghir & M. T. I. Khan. (2021) Impact of wind speed and air pollution on COVID-19 transmission in Pakistan. International Journal of Environmental Science and Technology 18:5, pages 1287-1298.
Crossref
Matthew van Bommel, Luke Bornn, Peter Chow-White & Chuancong Gao. (2021) Home sweet home: Quantifying home court advantages for NCAA basketball statistics. Journal of Sports Analytics 7:1, pages 25-36.
Crossref
Yongjun Du, Shubin Si, Zhiqiang Cai & Tongdan Jin. (2021) Bayesian Importance Measures for Network Edges Under Saturated Lagrangian Poisson Failures. IEEE Transactions on Reliability 70:1, pages 110-120.
Crossref
Michael Ayeah Israel, Joseph Amikuzuno & Gideon Danso-Abbeam. (2020) Assessing farmers' contribution to greenhouse gas emission and the impact of adopting climate-smart agriculture on mitigation. Ecological Processes 9:1.
Crossref
Min Liu, Qian Zhang, Song Gao & Jikun Huang. (2020) The spatial aggregation of rural e-commerce in China: An empirical investigation into Taobao Villages. Journal of Rural Studies 80, pages 403-417.
Crossref
Elisavet Tsekeri, Dionysia Kolokotsa & Mat Santamouris. (2020) On the association of ambient temperature and elderly mortality in a Mediterranean island - Crete. Science of The Total Environment 738, pages 139843.
Crossref
Jecinta U. Ibeji, Temesgen Zewotir, Delia North & Lateef Amusa. (2020) Modelling fertility levels in Nigeria using Generalized Poisson regression-based approach. Scientific African 9, pages e00494.
Crossref
Diego I Gallardo, Yolanda M Gómez, Héctor W Gómez & Mário de Castro. (2019) On the use of the modified power series family of distributions in a cure rate model context. Statistical Methods in Medical Research 29:7, pages 1831-1845.
Crossref
Kimberly F. Sellers, Stephen J. Peng & Ali Arab. (2019) A Flexible Univariate Autoregressive Time‐Series Model for Dispersed Count Data. Journal of Time Series Analysis 41:3, pages 436-453.
Crossref
Abass Mahama, Joseph A. Awuni, Franklin N. Mabe & Shaibu Baanni Azumah. (2020) Modelling adoption intensity of improved soybean production technologies in Ghana - a Generalized Poisson approach. Heliyon 6:3, pages e03543.
Crossref
Abraham Zakaria, Suhiyini I. Alhassan, John K. M. Kuwornu, Shaibu B. Azumah & Mercy A. A. Derkyi. (2020) Factors Influencing the Adoption of Climate-Smart Agricultural Technologies Among Rice Farmers in Northern Ghana. Earth Systems and Environment 4:1, pages 257-271.
Crossref
Felix Famoye & Carl Lee. (2019) Review of univariate and bivariate exponentiated exponential‐geometric distributions. WIREs Computational Statistics 12:2.
Crossref
Daniel R. Kowal & Antonio Canale. (2020) Simultaneous transformation and rounding (STAR) models for integer-valued data. Electronic Journal of Statistics 14:1.
Crossref
Öznur İŞÇİ GÜNERİ & Burcu DURMUŞ. (2019) Sansürlü Ve Sansürsüz Poisson Regresyon Modellerinin KarşılaştırılmasıComparison of Censored and Uncensored Poisson Regression Models. Karadeniz Fen Bilimleri Dergisi 9:2, pages 359-376.
Crossref
Felix Famoye. (2019) Bivariate exponentiated‐exponential geometric regression model. Statistica Neerlandica 73:3, pages 434-450.
Crossref
Sigismond Hervey Mvele, Larissa Ango Mengue & Guy Christol Ekome Ekane. (2019) Multiple subscriptions to mobile networks and consumer satisfaction. Journal of Retailing and Consumer Services 47, pages 375-381.
Crossref
Sarni Maniar Berliana, Purhadi, Sutikno & Santi Puteri Rahayu. Multivariate generalized Poisson regression model with exposure and correlation as a function of covariates: Parameter estimation and hypothesis testing. Multivariate generalized Poisson regression model with exposure and correlation as a function of covariates: Parameter estimation and hypothesis testing.
. 2019. Data Science for Business and Decision Making. Data Science for Business and Decision Making 1195 1214 .
Zhihua Gao, Zhiying Zhao & Wenqiang Tang. (2018) DREAMSeq: An Improved Method for Analyzing Differentially Expressed Genes in RNA-seq Data. Frontiers in Genetics 9.
Crossref
M Hayati, K Sadik & A Kurnia. (2018) Conwey-Maxwell Poisson Distribution: Approach for Over- and-Under-Dispersed Count Data Modelling. IOP Conference Series: Earth and Environmental Science 187, pages 012039.
Crossref
Jieqiong Wei, Jianhong Xue & Duolao Wang. (2018) Socioeconomic determinants of rural women's desired fertility: A survey in rural Shaanxi, China. PLOS ONE 13:9, pages e0202968.
Crossref
Marzieh Mahmoodi, Abbas Moghimbeigi, Kazem Mohammad & Javad Faradmal. (2016) Semiparametric models for multilevel overdispersed count data with extra zeros. Statistical Methods in Medical Research 27:4, pages 1187-1201.
Crossref
Thomas Yaméogo, William Fonta & Tobias Wünscher. (2018) Can Social Capital influence Smallholder Farmers’ Climate-Change Adaptation Decisions? Evidence from Three Semi-Arid Communities in Burkina Faso, West Africa. Social Sciences 7:3, pages 33.
Crossref
Hadeel Klakattawi, Veronica Vinciotti & Keming Yu. (2018) A Simple and Adaptive Dispersion Regression Model for Count Data. Entropy 20:2, pages 142.
Crossref
Alan Huang. (2017) Mean-parametrized Conway–Maxwell–Poisson regression models for dispersed counts. Statistical Modelling 17:6, pages 359-380.
Crossref
Matthew J. Trombley. (2016) Does artificial grass affect the competitive balance in major league soccer?. Journal of Sports Analytics 2:2, pages 73-87.
Crossref
Darnah. Modelling of filariasis in East Java with Poisson regression and generalized Poisson regression models. Modelling of filariasis in East Java with Poisson regression and generalized Poisson regression models.
Isola Ajiferuke & Felix Famoye. (2015) Modelling count response variables in informetric studies: Comparison among count, linear, and lognormal regression models. Journal of Informetrics 9:3, pages 499-513.
Crossref
Yen‐Chun Chou, Howard Hao‐Chun Chuang & Benjamin B.M. Shao. (2014) Information initiatives of mobile retailers: a regression analysis of zero‐truncated count data with underdispersion. Applied Stochastic Models in Business and Industry 31:4, pages 457-463.
Crossref
Jing Zhang, Thomas O. Crist & Peijie Hou. (2014) Partitioning of $$\alpha $$ α and $$\beta $$ β diversity using hierarchical Bayesian modeling of species distribution and abundance. Environmental and Ecological Statistics 21:4, pages 611-625.
Crossref
JE Moore & JP Barlow. (2014) Improved abundance and trend estimates for sperm whales in the eastern North Pacific from Bayesian hierarchical modeling. Endangered Species Research 25:2, pages 141-150.
Crossref
Pratompong Srinuan, Chalita Srinuan & Erik Bohlin. (2014) An empirical analysis of multiple services and choices of consumer in the Swedish telecommunications market. Telecommunications Policy 38:5-6, pages 449-459.
Crossref
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.
Crossref
Christos Kolympiris, Nicholas Kalaitzandonakes & Douglas Miller. (2014) Public funds and local biotechnology firm creation. Research Policy 43:1, pages 121-137.
Crossref
Yaotian Zou, Srinivas Reddy Geedipally & Dominique Lord. (2013) Evaluating the double Poisson generalized linear model. Accident Analysis & Prevention 59, pages 497-505.
Crossref
Yu-Chiun Chiou & Chiang Fu. (2013) Modeling crash frequency and severity using multinomial-generalized Poisson model with error components. Accident Analysis & Prevention 50, pages 73-82.
Crossref
Fukang Zhu. (2012) Modeling overdispersed or underdispersed count data with generalized Poisson integer-valued GARCH models. Journal of Mathematical Analysis and Applications 389:1, pages 58-71.
Crossref
Kimberly F. Sellers, Sharad Borle & Galit Shmueli. (2011) The COM‐Poisson model for count data: a survey of methods and applications. Applied Stochastic Models in Business and Industry 28:2, pages 104-116.
Crossref
Susan K. Duderstadt, Charles E. RoseJrJr, Theresa M. Real, Jennifer F. Sabatier, Brock Stewart, Guihua Ma, Uma D. Yerubandi, Angelia A. Eick, Jerome I. Tokars & Michael M. McNeil. (2012) Vaccination and risk of type 1 diabetes mellitus in active component U.S. Military, 2002–2008. Vaccine 30:4, pages 813-819.
Crossref
Jeffrey E. Moore & Jay Barlow. (2011) Bayesian state‐space model of fin whale abundance trends from a 1991–2008 time series of line‐transect surveys in the California Current. Journal of Applied Ecology 48:5, pages 1195-1205.
Crossref
Andreas Lindén & Samu Mäntyniemi. (2011) Using the negative binomial distribution to model overdispersion in ecological count data. Ecology 92:7, pages 1414-1421.
Crossref
Kimberly F. Sellers & Galit Shmueli. (2010) A flexible regression model for count data. The Annals of Applied Statistics 4:2.
Crossref
Mohammad Tsani Annafari. (2010) An Empirical Analysis of the Factors Determining Multiple Subscriptions in the Swedish Mobile Phone Market. An Empirical Analysis of the Factors Determining Multiple Subscriptions in the Swedish Mobile Phone Market.
Jung-Soon Choi, Man-Sik Park, Yu-Bok Won, Hag-Yeol Kim & Tae-Young Heo. (2010) Analysis of Violent Crime Count Data Based on Bivariate Conditional Auto-Regressive Model. Communications for Statistical Applications and Methods 17:3, pages 413-421.
Crossref
Jungsoon Choi, Montserrat Fuentes & Brian J. Reich. (2009) Spatial–temporal association between fine particulate matter and daily mortality. Computational Statistics & Data Analysis 53:8, pages 2989-3000.
Crossref
Gregory N. Price. (2009) The problem of the 21st century: Economics faculty and the color line. The Journal of Socio-Economics 38:2, pages 331-343.
Crossref
Yuehua Cui & Wenzhao Yang. (2009) Zero-inflated generalized Poisson regression mixture model for mapping quantitative trait loci underlying count trait with many zeros. Journal of Theoretical Biology 256:2, pages 276-285.
Crossref
José António Santos & M. Manuela Neves. (2007) A local maximum likelihood estimator for Poisson regression. Metrika 68:3, pages 257-270.
Crossref
Gregory N. Price. (2008) Hurricane Katrina: Was There a Political Economy of Death?. The Review of Black Political Economy 35:4, pages 163-180.
Crossref
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.
Crossref
Sujit K. Ghosh & Honggie Kim. (2007) Semiparametric inference based on a class of zero-altered distributions. Statistical Methodology 4:3, pages 371-383.
Crossref
Fredric D. Wolinsky, Thomas R. Miller, Hyonggin An, John F. Geweke, Robert B. Wallace, Kara B. Wright, Elizabeth A. Chrischilles, Li Liu, Claire B. Pavlik, Elizabeth A. Cook, Robert L. Ohsfeldt, Kelly K. Richardson & Gary E. Rosenthal. (2007) Hospital Episodes and Physician Visits. Medical Care 45:4, pages 300-307.
Crossref
Yuehua Cui, Dong-Yun Kim & Jun Zhu. (2006) On the Generalized Poisson Regression Mixture Model for Mapping Quantitative Trait Loci With Count Data. Genetics 174:4, pages 2159-2172.
Crossref
Montserrat Fuentes, Hae‐Ryoung Song, Sujit K. Ghosh, David M. Holland & Jerry M. Davis. (2006) Spatial Association between Speciated Fine Particles and Mortality. Biometrics 62:3, pages 855-863.
Crossref
S. Bae, F. Famoye, J.T. Wulu, A.A. Bartolucci & K.P. Singh. (2005) A rich family of generalized Poisson regression models with applications. Mathematics and Computers in Simulation 69:1-2, pages 4-11.
Crossref
Rakhal Sarker & Yves Surry. (2004) The Fast Decay Process in Outdoor Recreational Activities and the Use of Alternative Count Data Models. American Journal of Agricultural Economics 86:3, pages 701-715.
Crossref
Felix Famoye & Weiren Wang. (2004) Censored generalized Poisson regression model. Computational Statistics & Data Analysis 46:3, pages 547-560.
Crossref
J. M. C. Santos Silva. (2001) A score test for non‐nested hypotheses with applications to discrete data models. Journal of Applied Econometrics 16:5, pages 577-597.
Crossref
İlknur Özmen. (2000) Quasi Likelihood/Moment Method for Generalized and Restricted Generalized Poisson Regression Models and Its Application. Biometrical Journal 42:3, pages 303-314.
Crossref
Kimberly F. Sellers & Galit Shmueli. (2010) Data Dispersion: Now You See it... Now You Don't. SSRN Electronic Journal.
Crossref
Kimberly F. Sellers & Galit Shmueli. (2008) A Flexible Regression Model for Count Data. SSRN Electronic Journal.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.