The Negative Binomial Distribution of Order  k  and Some of Its Properties | Zendy

Philippou A. N. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

The Negative Binomial Distribution of Order k and Some of Its Properties

Author(s) -

Philippou A. N.

Publication year - 1984

Publication title -

biometrical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.108

H-Index - 63

eISSN - 1521-4036

pISSN - 0323-3847

DOI - 10.1002/bimj.4710260719

Subject(s) - mathematics , negative binomial distribution , binomial distribution , statistics , beta negative binomial distribution , beta binomial distribution , binomial coefficient , variance (accounting) , distribution (mathematics) , negative multinomial distribution , probability distribution , constant (computer programming) , combinatorics , mathematical analysis , computer science , poisson distribution , accounting , business , programming language

The negative binomial distribution of order k is introduced and briefly studied. First it is shown that it is a proper probability distribution. Then its probability generating function, mean and variance are derived. Finally it is shown that the number of trials until the r th k th consecutive success ( r ≧ 1, k ≧ 1) in independent trials with constant success probability p (0 < p < 1) is distributed as negative binomial distribution of order k. The present paper generalizes results of SHANE (1973), PHILIPPOU and MUWAFI (1982), and PHILIPPOU, GEORGHIOU and PHILIPPOU (1982).

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research