%0 Journal Article
%T The Zero Inflated Negative Binomial - Shanker Distribution and Its Application to HIV                    Exposed Infant Data
%A Collins Odhiambo
%J Scientific & Academic Publishing
%D 2020
%R 10.5923/j.ijps.20200901.02
%X Motivated by HIV exposed infants (HEI) sero-conversion data, we provide an extension of Zero-inflated Negative Binomial (ZINB) distribution to Zero Inflated Negative Binomial - Shanker (ZINB-SH) distribution. In this setting the ZINB-SH, distribution provides an alternative to the Poisson-Shanker distribution in particular, when data exhibits over dispersion brought by excess zeros. The HIV Exposed infant data is characterized by both structured and non-structured zeroes which makes the feature ideal in this context. We describe the properties of ZINB-SH distribution and estimate its parameters. Extensive simulations were conducted and the results in terms of goodness-of-fit, compared to the standard Negative Binomial, Shanker, Zero-Inflated Negative Binomial and Negative Binomial ¨CShanker distributions. The ZINB-SH distribution is competitive under different settings of simulation and does well as sample size increases. To validate the distribution, we apply real typical HIV-Infant exposed data
%K Shanker Distribution
%K Zero Inflated Negative Binomial
%K Generalized Linear Model
%K HIV Exposed Infants
%K Mother-to-Child-Transmission
%U http://article.sapub.org/10.5923.j.ijps.20200901.02.html