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A Rapid and Efficient Estimation Procedure for the Negative Binomial Distribution

✍ Scribed by Dr. A. W. Kemp; Professor C. D. Kemp

Publisher
John Wiley and Sons
Year
1987
Tongue
English
Weight
453 KB
Volume
29
Category
Article
ISSN
0323-3847

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✦ Synopsis

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 been carried out and also the method has been applied to the 35 data sets analysed by MARTIN and KATTI (1965, Biometrics) in order to compare i t with the method of moments and with the method of maximum likelihood (ML). We conclude that the new procedure has greater relative efficiency than the method of moments; i t gives estimates which are consistently close to ML and are easy to calculate.

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