Advanced search
Publication Cover
Journal of the American Statistical Association Volume 77, 1982 - Issue 377
Submit an article Journal homepage
40
Views
23
CrossRef citations to date
0
Altmetric
Theory and Method

Inference for Sichel's Compound Poisson Distribution

A. C. Atkinson Department of Mathematics, Imperial College of Science and Technology, London, W7 2BZ, England
&
Lam Yeh PhD Department of Decision Theory, University of Manchester, Manchester, M13 9PL, England
Pages 153-158 | Received 01 Mar 1980, Published online: 12 Mar 2012

Citations (23)

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

Subscribe to citation updates

Read on this site (8)

Emilio Gómez-Déniz, M. E. Ghitany & Ramesh C. Gupta. (2016) Poisson-mixed Inverse Gaussian Regression Model and Its Application. Communications in Statistics - Simulation and Computation 45:8, pages 2767-2781.
Read now
Xavier Puig, Josep Ginebra & Marti Font. (2010) The Sichel model and the mixing and truncation order. Journal of Applied Statistics 37:9, pages 1585-1603.
Read now
Alex Riba & Josep Ginebra. (2006) Diversity of vocabulary and homogeneity of literary style. Journal of Applied Statistics 33:7, pages 729-741.
Read now
Ramesh C. Gupta & S.H. Ong. (2005) Analysis of Long-Tailed Count Data by Poisson Mixtures. Communications in Statistics - Theory and Methods 34:3, pages 557-573.
Read now
J. Bunge & M. Fitzpatrick. (1993) Estimating the Number of Species: A Review. Journal of the American Statistical Association 88:421, pages 364-373.
Read now
DavidC. Schmittlein. (1989) Surprising Inferences from Unsurprising Observations: Do Conditional Expectations Really Regress to the Mean?. The American Statistician 43:3, pages 176-183.
Read now
GordonE. Willmot. (1988) Parameter Orthogonality for a Family of Discrete Distributions. Journal of the American Statistical Association 83:402, pages 517-521.
Read now
GillianZ. Stein, Walter Zucchini & JuneM. Juritz. (1987) Parameter Estimation for the Sichel Distribution and its Multivariate Extension. Journal of the American Statistical Association 82:399, pages 938-944.
Read now

Articles from other publishers (15)

Zezhun Chen, Angelos Dassios & George Tzougas. (2022) Multivariate mixed Poisson Generalized Inverse Gaussian INAR(1) regression. Computational Statistics 38:2, pages 955-977.
Crossref
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.
Crossref
. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Dexiang Gao, Gary K. Grunwald & Stanley Xub. (2014) A Simple Approach to Sample Size Calculation for Count Data in Matched Cohort Studies. International Journal of Statistics in Medical Research 3:3, pages 321-330.
Crossref
JA Koziol, NM Griffin, F Long, Y Li, M Latterich & JE Schnitzer. (2013) On protein abundance distributions in complex mixtures. Proteome Science 11:1, pages 5.
Crossref
Xavier Puig, Josep Ginebra & Marta Perez-Casany. (2009) Extended truncated Inverse Gaussian–Poisson model. Statistical Modelling 9:2, pages 151-171.
Crossref
. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Dimitris Karlis. (2016) A general EM approach for maximum likelihood estimation in mixed Poisson regression models. Statistical Modelling 1:4, pages 305-318.
Crossref
Werner Hürlimann. (1998) On mean scaled insurance risk modelsÜber Risikomodelle, die skalar invariant bezüglich Mittelwert sind. Blätter der DGVFM 23:3, pages 251-265.
Crossref
O. E. Barndorff‐Nielsen, P. BlæSILD & V. Seshadri. (2008) Multivariate distributions with generalized inverse gaussian marginals, and associated poisson mixtures. Canadian Journal of Statistics 20:2, pages 109-120.
Crossref
Gord Willmot. (2014) Mixed Compound Poisson Distributions. ASTIN Bulletin 16:S1, pages S59-S79.
Crossref
J. C. W. Rayner & R. I. McIntyre. (2007) Use of the Score Statistic for Testing Goodness‐of‐Fit of Some Generalised Distributions. Biometrical Journal 27:2, pages 159-166.
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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.