Discrete Joint Random Variables in Fréchet-Weibull Distribution: A Comprehensive Mathematical Framework with Simulations, Goodness-of-Fit Analysis, and Informed Decision-Making

• DOI: 10.3390/math12213401
• Publication Date: 2024-10-31T12:44:04Z
• Authors: Diksha Das; Tariq S. Alshammari; Khudhayr A. Rashedi; Bhanita Das; Partha Jyoti Haza...; Mohamed S. Eliwa
• Keywords: Goodness of fit

This paper introduces a novel four-parameter discrete bivariate distribution, termed the discretized Fréchet–Weibull distribution (BDFWD), with marginals derived from distribution. Several statistical and reliability properties are thoroughly examined, including joint cumulative function, probability mass survival hazard rate reversed all presented in straightforward forms. Additionally, such as moments their related concepts, stress–strength model, total positivity of order 2, positive quadrant dependence, median examined. The BDFWD is capable modeling asymmetric dispersion data across various forms shapes kurtosis. Following introduction mathematical frameworks BDFWD, maximum likelihood estimation approach employed to estimate model parameters. A simulation study also conducted investigate behavior generated estimators. To demonstrate capability flexibility three distinct datasets analyzed fields, football score records, recurrence times infection for kidney dialysis patients, student marks two internal examination papers. confirms that outperforms competitive distributions terms efficiency applications.