Abstract
This paper reviews the main results obtained so far in the field of discrete distributions involving factorial series distributions, Stirling numbers of first kind and second kind, Markov-Polya survival model, associated Lah numbers and C-numbers etc. The combinatorial proof of the modified factorial series expansion and the modified multivariate factorial series expansion are applied respectively while studying modified factorial series distributions (MFSDs) and modified multivariate factorial series distributions (MMFSDs). A few well known univariate as well as multivariate distributions are derived by the use of the MFSDs and MMFSDs. Some univariate distributions involving Stirling numbers of first kind and second kind under different sampling schemes are mostly studied via urn models.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Discrete Mathematical Sciences and Cryptography
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
