Bayesian parameters estimation of the negative binomial - two parameter weighted exponential distribution with application in biological data

Abstract

The purpose of this paper is to report the results of fitting three biologically significant statistical model, poisson, negative binomial (NB) and negative binomial - two parameter weighted exponential (NB-TWE) distribution to biological data. The results of fitting the different distribution are compared by using K-S Test and Cramer-von Mises Test , we found that the datas follows the highest value base on NB-TWE distribution, also implies that the NB-TWE distribution is the best fit for these data sets. Therefore, the NB-TWE distribution is choice for biological data with overdispersion problem and heavy-tailed with positively skewed.