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Bivariate Discrete Inverse Weibull Distribution

2018/08/22 by Mohamed S. Eliwa, Eliwa, M. S., Mahmoud El-Morshedy +1
Decision Sciences · Environmental Science · Mathematics · #FOS: Mathematics #Hydrology and Drought Analysis #Probabilistic and Robust Engineering Design #Statistical Distribution Estimation and Applications #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1808.07748

openalex publication_date 2018/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we propose a new class of bivariate distributions, called the bivariate discrete inverse Weibull (BDsIW) distribution, whose marginals are discrete inverse Weibull (DsIW) distributions. Some statistical and mathematical properties are presented. The maximum likelihood method is used for estimating the model parameters. Simulations are presented to verify the performance of the direct maximum likelihood estimation. Finally, two real data sets are analyzed for illustrative purposes.

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