An Alternative Model for Describing the Reliability Data: Applications, Assessment, and Goodness-of-Fit Validation Testing, By Morad Alizadeh

Research

Title	An Alternative Model for Describing the Reliability Data: Applications, Assessment, and Goodness-of-Fit Validation Testing
Type	Article
Keywords	assessment; goodness-of-fit; reliability data; data modeling; Nikulin-Rao-Robson; validation; testing; right censored data
Journal	MATHEMATICS
DOI	—
Researchers	Haitham Yousof (First researcher) , Hafida Goual (Second researcher) , Walid Emam (Third researcher) , Yusra Tashkandy (Fourth researcher) , Morad Alizadeh (Fifth researcher) , Mir Masoom Ali Mir Masoom Ali (Not in first six researchers) , d Mohamed Ibrahim (Not in first six researchers)

Abstract

We provide a new extension of the exponential distribution with an emphasis on the practical elements of the model. Six different classical estimation methods were applied and compared. The main test was evaluated on complete data using four sets of data. Additionally, four applications and the derivation of the new Nikulin statistic test for the new probability model under the censored situation are described. Both tests were evaluated through simulation experiments on complete data and on artificial and censored data. In addition, a set of simulation experiments were presented, which were used and employed to evaluate the original statistical test and the new modified statistical test based on statistical controls in the evaluation processes.