Poisson Generated Family of Distributions: A Review
Sandeep Kumar Maurya () and
Saralees Nadarajah ()
Additional contact information
Sandeep Kumar Maurya: Central University of South Bihar
Saralees Nadarajah: University of Manchester
Sankhya B: The Indian Journal of Statistics, 2021, vol. 83, issue 2, No 12, 484-540
Abstract The present article represents a survey on Poisson generated family of distributions. Based on this family of distribution, several transformations and distributions have been proposed. Out of which, some of them are proposed by referencing it, and some are independent. The family can be proposed by using the compounding concept of zero truncated Poisson distribution with any other model or family of distributions. Here, we provide a complete survey on this family of distributions and list the contributory related research works. We also address 12 power series distributions, 77 distributions based on the Poisson family of distribution, and 23 distributions, based on different ten transformation methods based on this family of distribution. These numbers show the importance of the Poisson family of distribution.
Keywords: Lifetime models; Poisson distribution; Power series distribution; Compounding of distribution function; Transformation method; Primary: 60-02, 60E05; Secondary: 62F10 (search for similar items in EconPapers)
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed
Downloads: (external link)
http://link.springer.com/10.1007/s13571-020-00237-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:spr:sankhb:v:83:y:2021:i:2:d:10.1007_s13571-020-00237-8
Ordering information: This journal article can be ordered from
Access Statistics for this article
Sankhya B: The Indian Journal of Statistics is currently edited by Dipak Dey
More articles in Sankhya B: The Indian Journal of Statistics from Springer, Indian Statistical Institute
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().