Zero Inflated and Zero Truncated Negative Binomial Weighted Garima Distributions for Modeling Count Data
Pornpop Saengthong · Journal of Applied Science · 2022
In this paper, we introduced models for zero inflated and zero truncated based on the negative binomial-weighted Garima (NB-WG) distribution.The zero inflated negative binomialweighted Garima (ZINB-WG) distribution is a discrete probability distribution for the excessive zero counts and overdispersion which is a mixture of Bernoulli distribution and negative binomial-weighted Garima (NB-WG) distribution.Meanwhile, a new zero truncated distribution named as the zero truncated negative binomial-weighted Garima (ZTNB-WG) distribution can be used when the response variable is the set of positive integers.Some properties of the two different versions of NB-WG distribution are discussed and the estimation of the parameters is derived by maximum likelihood method (MLE).In addition, the usefulness of the proposed distributions is illustrated by real data sets.