TY - JOUR
TI - Statistical properties and applications for exponentiated exponential Rayleigh distribution
AU - Darwish Ahmed Jumanah
JN - Thermal Science
PY - 2024
VL - 28
IS - 6
SP - 4895
EP - 4906
PT - Article
AB - Modelling in lifetime phenomena is a significant issue in many scientific  areas. Sometimes many standard models lack superiority in modelling data  set. Designing a new form of probability distribution by using different  techniques has received a widely attention in statistical theory in the  recent years. In this paper, we formulated exponentiated exponential  Rayleigh (EER) distribution. We discussed the reliability and hazard rate  functions of the EER distribution and computed the quantile, median,  skewness and kurtosis. Moreover, the correlations between the parameters and  the median, skewness, and kurtosis are investigated. Bayesian and  non-Bayesian approaches are adopted to estimate the unknown parameters of  EER distribution. In Bayesian approach, we are used Markov Chen Monte Carlo  (MCMC) method to obtain the approximate Bayes point estimate. The proposed  distribution is used to analyze, light-emitting diodes data, strength of  glass fibers data and Wheaton River data. The estimation results of the EER  distribution are compared with exponential Rayleigh, Rayleigh, and  exponential distributions.