The Hyper-Negative Binomial Distribution
โ Scribed by M. A. Yousry; R. C. Srivastava
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 297 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0323-3847
No coin nor oath required. For personal study only.
โฆ Synopsis
A generalized family of thenegative binomialdistribution is introduced in a paper by SRIVMTAVA, YOOSEY and AEMICD (1986). It is a solution of the difference equation and is called the hyper-negative binomial distribution. Certain properties including the momenta of the distribution are presented. Moment eatimators of the parameters are obtained and goodness of f i t is illustrated for chromatid aberration data.
๐ SIMILAR VOLUMES
A generalized negative binomial (GNB) distribution W M introduced by J m and CONSUL (1971) and was modified by NEL~ON (1976). The probability function of the distribution ie defined by the function p ( z ; m, B, 0) =-P ( 1 -O)m+~z-rforz=O,l, ..., andzerootherwise, where mrO, 0-=8<1 and /3=0 or 1 PP-
This paper presents a new noniterative procedure for estimating the parameters of a negative binomial distribution. The procedure uses the first moment equation and an equation based on the weighted sample mean, with weights wzotaz. The selection of a value for a is examined. A simulation study has