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Statistics
A Journal of Theoretical and Applied Statistics
Volume 49, 2015 - Issue 5
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Original Articles

Approximating the Conway–Maxwell–Poisson distribution normalization constant

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Pages 1062-1073 | Received 17 Nov 2013, Accepted 30 Jan 2014, Published online: 08 Apr 2014

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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.
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Fatma El Zahraa S. Salama, Ahmed M. Gad, Ahmed A. El Sheikh & Amany M. Mohamed. (2022) A flexible model to fit over-dispersed longitudinal count data. Communications in Statistics: Case Studies, Data Analysis and Applications 8:3, pages 407-422.
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Bo Li, Huiming Zhang & Jiao He. (2020) Some characterizations and properties of COM-Poisson random variables. Communications in Statistics - Theory and Methods 49:6, pages 1311-1329.
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Tibor K. Pogány. (2018) Integral form of Le Roy-type hypergeometric function. Integral Transforms and Special Functions 29:7, pages 580-584.
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Orasa Anan, Dankmar Böhning & Antonello Maruotti. (2017) Uncertainty estimation in heterogeneous capture–recapture count data. Journal of Statistical Computation and Simulation 87:10, pages 2094-2114.
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Marius Ötting, Roland Langrock & Antonello Maruotti. (2021) A copula-based multivariate hidden Markov model for modelling momentum in football. AStA Advances in Statistical Analysis 107:1-2, pages 9-27.
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Mohamed R. Abonazel, Fuad A. Awwad, Elsayed Tag Eldin, B. M. Golam Kibria & Ibrahim G. Khattab. (2023) Developing a two-parameter Liu estimator for the COM–Poisson regression model: Application and simulation. Frontiers in Applied Mathematics and Statistics 9.
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Kimberly F. Sellers & Bailey Premeaux. (2020) Conway–Maxwell–Poisson regression models for dispersed count data . WIREs Computational Statistics 13:6.
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Tahir Mahmood, Ridwan A. Sanusi & Min Xie. 2021. Frontiers in Statistical Quality Control 13. Frontiers in Statistical Quality Control 13 45 63 .
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.
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Robert E. Gaunt, Satish Iyengar, Adri B. Olde Daalhuis & Burcin Simsek. (2017) An asymptotic expansion for the normalizing constant of the Conway–Maxwell–Poisson distribution. Annals of the Institute of Statistical Mathematics 71:1, pages 163-180.
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Suneel Babu Chatla & Galit Shmueli. (2018) Efficient estimation of COM–Poisson regression and a generalized additive model. Computational Statistics & Data Analysis 121, pages 71-88.
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Hyoyoung Choo-Wosoba, Jeremy Gaskins, Steven Levy & Somnath Datta. (2018) A Bayesian approach for analyzing zero-inflated clustered count data with dispersion. Statistics in Medicine 37:5, pages 801-812.
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Tibor K. Pogány. (2016) Integral form of the COM–Poisson renormalization constant. Statistics & Probability Letters 119, pages 144-145.
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Kimberly F. Sellers, Darcy Steeg Morris & Narayanaswamy Balakrishnan. (2016) Bivariate Conway–Maxwell–Poisson distribution: Formulation, properties, and inference. Journal of Multivariate Analysis 150, pages 152-168.
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