LIMITING FORMS OF PROBABILITY MASS FUNCTIONS VIA RECURRENCE FORMULAS

Authors
DRANE JW CAO SH WANG LX POSTELNICU T
Citation
Jw. Drane et al., LIMITING FORMS OF PROBABILITY MASS FUNCTIONS VIA RECURRENCE FORMULAS, The American statistician, 47(4), 1993, pp. 269-274
Citations number
7
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
The American statistician → ACNP
ISSN journal
00031305
Volume
47
Issue
4
Year of publication
1993
Pages
269 - 274
Database
ISI
SICI code
0003-1305(1993)47:4<269:LFOPMF>2.0.ZU;2-B
Abstract
Through the use of recurrence formulas the Polya-Eggenberger probabili ty mass function is shown to have at least seven different limiting fo rms: hypergeometric, beta binomial, binomial, negative binomial, Poiss on, logarithmic, and geometric. Other uses of recurrence formulas are also suggested. Compounding and convoluting are not treated in this ar ticle.