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- Title
The Efficiency of Hazard Rate Preservation Method for Generating Discrete Rayleigh–Lindley Distribution.
- Authors
Ahmad, Hanan Haj
- Abstract
In this study, we introduce two novel discrete counterparts for the Rayleigh–Lindley mixture, constructed through the application of survival and hazard rate preservation techniques. These two-parameter discrete models demonstrate exceptional adaptability across various data types, including skewed, symmetric, and monotonic datasets. Statistical analyses were conducted using maximum likelihood estimation and Bayesian approaches to assess these models. The Bayesian analysis, in particular, was implemented with the squared error and LINEX loss functions, incorporating a modified Lwin Prior distribution for parameter estimation. Through simulation studies and numerical methods, we evaluated the estimators' performance and compared the effectiveness of the two discrete adaptations of the Rayleigh–Lindley distribution. The simulations reveal that Bayesian methods are especially effective in this setting due to their flexibility and adaptability. They provide more precise and dependable estimates for the discrete Rayleigh–Lindley model, especially when using the hazard rate preservation method. This method is a compelling alternative to the traditional survival discretization approach, showcasing its significant potential in enhancing model accuracy and applicability. Furthermore, two real data sets are analyzed to assess the performance of each analog.
- Subjects
BAYESIAN analysis; MAXIMUM likelihood statistics; BAYES' estimation; PARAMETER estimation
- Publication
Mathematics (2227-7390), 2024, Vol 12, Issue 8, p1261
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math12081261