TY - JOUR
AU - Kumar, Satheesh
AU - Ramachandran, Rakhi
PY - 2021/01/01
Y2 - 2023/10/05
TI - On Zero-Inflated Alternative Hyper-Poisson Distribution
JF - Statistica
JA - Stat
VL - 81
IS - 4
SE - Articles
DO - 10.6092/issn.1973-2201/9338
UR - https://rivista-statistica.unibo.it/article/view/9338
SP - 423-446
AB - Here we develop a zero-inflated version of the alternative hyper-Poisson distribution and discuss its important statistical properties such as probability generating function, expressions for mean, variance, factorial moments, skewness, kurtosis, recursion formula for probabilities, raw moments and factorial moments. Then the maximum likelihood estimation of the parameters of the zero-inflated alternative hyper-Poisson distribution is discussed and certain test procedures are constructed for testing the significance of the inflation parameter. All the procedures are illustrated with the help of certain real life data sets. Moreover, a brief simulation study is carried out for assessing the performances
ER -