Abstract
In this article, we propose two new discrete distributions, the negative binomial-weighted Weibull and the zero truncated negative binomial-weighted Weibull distributions. Some statistical properties of the proposed distributions are presented. The parameter estimates for the proposed distributions have been derived by the maximum likelihood estimation. The applications of the proposed distributions to real data sets in order to compare the performance with other distributions. The criteria for selecting the best fitted distribution are test statistics, i.e., the chi-square test and the Kolmogorov–Smirnov (K-S) test for discrete distributions.
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Funding
The first two authors would like to thank the College of Industrial Technology, King Mongkut’s University of Technology North Bangkok. The first author’s research was funded by College of Industrial Technology, King Mongkut’s University of Technology North Bangkok, grant no. Res-CIT0243/2020.
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Sitho, S., Denthet, S. & Nadeem, H. Zero Truncated Negative Binomial Weighted Weibull Distribution and Its Application. Lobachevskii J Math 42, 3241–3252 (2021). https://doi.org/10.1134/S1995080222010206
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DOI: https://doi.org/10.1134/S1995080222010206