The Weibull and related models have been used in many applications for solving a variety of problems from many disciplines. Here we introduce a new family of distributions, namely Weibull-truncated negative binomial distribution (WTNB) and study some properties of it. Exponential-truncated negative binomial (ETNB) and Marshall-Olkin Weibull (MOW) distribution are special cases of this distribution. We have analyzed a real data set of serum creatinine values and found that this new distribution is a good fit to model the data, compared to Weibull, Gamma, Exponentiated Weibull, ETNB and MOW models.
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