JOURNAL ARTICLE

The Non‐Central Negative Binomial Distribution

S. H. OngP. A. Lee

Year: 1979 Journal:   Biometrical Journal Vol: 21 (7)Pages: 611-627   Publisher: Wiley

Abstract

Abstract The non‐central negative binomial distribution is derived by mixing the P OISSON distribution with a certain B ESSEL function distribution, or the negative binomial distribution with the P OISSON distribution. Some properties of the distribution are discussed, including a characterization. The fitting of the distribution to some data are given together with the efficiency for various procedures of estimation.

Keywords:
Negative binomial distribution Beta-binomial distribution Negative multinomial distribution Mathematics Binomial distribution Beta negative binomial distribution Statistics Multinomial distribution Distribution (mathematics) Distribution fitting Gamma distribution Continuity correction Univariate distribution Probability distribution Mathematical analysis Poisson distribution

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46
Cited By
0.48
FWCI (Field Weighted Citation Impact)
29
Refs
0.68
Citation Normalized Percentile
Is in top 1%
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Citation History

Topics

Statistical Distribution Estimation and Applications
Physical Sciences →  Mathematics →  Statistics and Probability
Advanced Statistical Methods and Models
Physical Sciences →  Mathematics →  Statistics and Probability
Statistical Methods and Bayesian Inference
Physical Sciences →  Mathematics →  Statistics and Probability

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