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

Haitham M. Yousof, Hafida Goual, Walid Emam, Yusra Tashkandy, Morad Alizadeh, M. Masoom Ali and Mohamed Ibrahim ()
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Haitham M. Yousof: Department of Statistics, Mathematics and Insurance, Faculty of Commerce, Benha University, Benha 13518, Egypt
Hafida Goual: Laboratory of Probability and Statistics (LaPS), Department of Mathematics, Badji Mokhtar Annaba University, Annaba 23000, Algeria
Walid Emam: Department of Statistics and Operations Research, Faculty of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Yusra Tashkandy: Department of Statistics and Operations Research, Faculty of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
Morad Alizadeh: Department of Statistics, Persian Gulf University, Bushehr 75169, Iran
M. Masoom Ali: Department of Mathematical Sciences, Ball State University, Muncie, IN 47306, USA
Mohamed Ibrahim: Department of Applied, Mathematical and Actuarial Statistics, Faculty of Commerce, Damietta University, Damietta 34517, Egypt

Mathematics, 2023, vol. 11, issue 6, 1-26

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.

Keywords: assessment; goodness-of-fit; reliability data; data modeling; Nikulin-Rao-Robson; validation; testing; right censored data (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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