TY - JOUR
TI - Statistical inference for stress-strength reliability using inverse Lomax lifetime distribution with mechanical engineering applications
AU - Tolba Ahlam H
AU - Ramadan Dina A
AU - Almetwally Ehab M
AU - Jawa Taghreed M
AU - Sayed-Ahmed Neveen
JN - Thermal Science
PY - 2022
VL - 26
IS - 101
SP - 303
EP - 326
PT - Article
AB - The inverse Lomax distribution has been extensively used in many disciplines,  including stochastic modelling, economics, actuarial sciences, and life  testing. It is among the most recognizable lifetime models. The purpose of  this research is to look into a new and important aspect of the inverse  Lomax distribution: the calculation of the fuzzy stress-strength reliability  parameter RF = P(Y < X), as­suming X and Y are random independent variables  that follow the inverse Lomax probability distribution. The properties of  structural for the proposed reliability model are studied along with the  Bayesian estimation methods, maximum product of the spacing and maximum  likelihood. Extensive simulation studies are achieved to explore the  performance of the various estimates. Subsequently, two sets of real data  are considered to highlight the practicability of the model.