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.
Weizhong TianTingting LiuYaoting Yang
S. H. OngKian-Kok TohYeh-Ching Low