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On the generalization of negative binomial distribution
- Source :
-
Statistics & Probability Letters . Jan2004, Vol. 66 Issue 2, p127. 7p. - Publication Year :
- 2004
-
Abstract
- In this paper we study the distribution of the number of trials required to obtain <f>r</f> successes in a sequence of Bernoulli trials. We consider the conditions under which the above distribution is a negative binomial distribution. In fact, we show that the negative binomial distribution can be derived from dependent Bernoulli random variables. Finally, we consider a certain model in a generalized negative binomial distribution and obtain the expected value of the number of trials required. [Copyright &y& Elsevier]
- Subjects :
- *BINOMIAL distribution
*BINOMIAL coefficients
*BINOMIAL theorem
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 01677152
- Volume :
- 66
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Statistics & Probability Letters
- Publication Type :
- Periodical
- Accession number :
- 11731674
- Full Text :
- https://doi.org/10.1016/j.spl.2003.08.013