A simple algorithm for computing the probabilities of count models based on pure birth processes
Author
Abstract
Suggested Citation
DOI: 10.1007/s00180-024-01491-4
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Alina Peluso & Veronica Vinciotti & Keming Yu, 2019. "Discrete Weibull generalized additive model: an application to count fertility data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 68(3), pages 565-583, April.
- Gordon K. Smyth & Heather M. Podlich, 2002. "An Improved Saddlepoint Approximation Based on the Negative Binomial Distribution for the General Birth Process," Computational Statistics, Springer, vol. 17(1), pages 17-28, March.
- Mabel Morales-Otero & Vicente Núñez-Antón, 2021. "Comparing Bayesian Spatial Conditional Overdispersion and the Besag–York–Mollié Models: Application to Infant Mortality Rates," Mathematics, MDPI, vol. 9(3), pages 1-33, January.
- Marcelo Bourguignon & Rodrigo M. R. Medeiros, 2022. "A simple and useful regression model for fitting count data," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(3), pages 790-827, September.
- Seth D. Guikema & Jeremy P. Goffelt, 2008. "A Flexible Count Data Regression Model for Risk Analysis," Risk Analysis, John Wiley & Sons, vol. 28(1), pages 213-223, February.
- M. J. Faddy & D. M. Smith, 2011. "Analysis of count data with covariate dependence in both mean and variance," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(12), pages 2683-2694, February.
- Winkelmann, Rainer, 1995. "Duration Dependence and Dispersion in Count-Data Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(4), pages 467-474, October.
- M. J. Faddy & D. M. Smith, 2008. "Extended Poisson process modelling of dilution series data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 57(4), pages 461-471, September.
- Smith, David M. & Faddy, Malcolm J., 2016. "Mean and Variance Modeling of Under- and Overdispersed Count Data," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 69(i06).
- Robert Jung & Gerd Ronning & A. Tremayne, 2005. "Estimation in conditional first order autoregression with discrete support," Statistical Papers, Springer, vol. 46(2), pages 195-224, April.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Célestin C. Kokonendji & Sobom M. Somé & Youssef Esstafa & Marcelo Bourguignon, 2023. "On Underdispersed Count Kernels for Smoothing Probability Mass Functions," Stats, MDPI, vol. 6(4), pages 1-15, November.
- Sáez-Castillo, A.J. & Conde-Sánchez, A., 2013. "A hyper-Poisson regression model for overdispersed and underdispersed count data," Computational Statistics & Data Analysis, Elsevier, vol. 61(C), pages 148-157.
- Smith, David M. & Faddy, Malcolm J., 2016. "Mean and Variance Modeling of Under- and Overdispersed Count Data," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 69(i06).
- Eugenio J. Miravete, 2004.
"The Doubtful Profitability of Foggy Pricing,"
Working Papers
04-07, NET Institute.
- Miravete, Eugenio, 2007. "The Doubtful Profitability of Foggy Pricing," CEPR Discussion Papers 6295, C.E.P.R. Discussion Papers.
- Darcy Steeg Morris & Kimberly F. Sellers, 2022. "A Flexible Mixed Model for Clustered Count Data," Stats, MDPI, vol. 5(1), pages 1-18, January.
- Rainer Winkelmann & Klaus Zimmermann, 1998.
"Is job stability declining in Germany? Evidence from count data models,"
Applied Economics, Taylor & Francis Journals, vol. 30(11), pages 1413-1420.
- Winkelmann, Rainer & Zimmermann, Klaus F., 1998. "Is Job Stability Declining in Germany? Evidences from Count Data Models," IZA Discussion Papers 1, Institute of Labor Economics (IZA).
- Stefano Mainardi, 2003. "Testing convergence in life expectancies: count regression models on panel data," Prague Economic Papers, Prague University of Economics and Business, vol. 2003(4), pages 350-370.
- Eugenio J. Miravete, 2009.
"Competing with Menus of Tariff Options,"
Journal of the European Economic Association, MIT Press, vol. 7(1), pages 188-205, March.
- Eugenio Miravete, 2007. "“Competing with Menus of Tariff Options”," Working Papers 07-02, NET Institute, revised Jul 2007.
- Miravete, Eugenio, 2007. "Competing with Menus of Tariff Options," CEPR Discussion Papers 6279, C.E.P.R. Discussion Papers.
- José M. R. Murteira & Mário A. G. Augusto, 2017. "Hurdle models of repayment behaviour in personal loan contracts," Empirical Economics, Springer, vol. 53(2), pages 641-667, September.
- Haab, T. C., 2003. "Temporal correlation in recreation demand models with limited data," Journal of Environmental Economics and Management, Elsevier, vol. 45(2), pages 195-212, March.
- Dungey Mardi & Martin Vance L. & Tang Chrismin & Tremayne Andrew, 2020. "A threshold mixed count time series model: estimation and application," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 24(2), pages 1-18, April.
- Zhou, Can & Jiao, Yan & Browder, Joan, 2019. "K-aggregated transformation of discrete distributions improves modeling count data with excess ones," Ecological Modelling, Elsevier, vol. 407(C), pages 1-1.
- Shital A. Thekdi & James H. Lambert, 2012. "Decision Analysis and Risk Models for Land Development Affecting Infrastructure Systems," Risk Analysis, John Wiley & Sons, vol. 32(7), pages 1253-1269, July.
- Predrag M. Popović & Miroslav M. Ristić & Aleksandar S. Nastić, 2016. "A geometric bivariate time series with different marginal parameters," Statistical Papers, Springer, vol. 57(3), pages 731-753, September.
- Özkan Uğurlu & Serdar Yıldız & Sean Loughney & Jin Wang & Shota Kuntchulia & Irakli Sharabidze, 2020. "Analyzing Collision, Grounding, and Sinking Accidents Occurring in the Black Sea Utilizing HFACS and Bayesian Networks," Risk Analysis, John Wiley & Sons, vol. 40(12), pages 2610-2638, December.
- Florez Mauro & Guindani Michele & Vannucci Marina, 2025. "Bayesian bivariate Conway–Maxwell–Poisson regression model for correlated count data in sports," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 21(1), pages 51-71.
- Katiane S. Conceição & Marinho G. Andrade & Victor Hugo Lachos & Nalini Ravishanker, 2024. "Bayesian Inference for Zero-Modified Power Series Regression Models," Mathematics, MDPI, vol. 13(1), pages 1-30, December.
- Katherine M. Anderson & Kevin Dayaratna & Drew Gonshorowski & Steven J. Miller, 2022. "A New Benford Test for Clustered Data with Applications to American Elections," Stats, MDPI, vol. 5(3), pages 1-15, August.
- Zeng, Xiaoqiang & Kakizawa, Yoshihide, 2022. "Bias-correction of some estimators in the INAR(1) process," Statistics & Probability Letters, Elsevier, vol. 187(C).
- Vance L. Martin & Andrew R. Tremayne & Robert C. Jung, 2014. "Efficient Method Of Moments Estimators For Integer Time Series Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 35(6), pages 491-516, November.
More about this item
Keywords
Poisson distribution; Conway-Maxwell-Poisson distribution; Matrix exponential; Uniformization; expm; Complete homogeneous symmetric polynomials;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:compst:v:40:y:2025:i:1:d:10.1007_s00180-024-01491-4. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.