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Statistical Insights: Analyzing Shock Models, Reliability Operations and Testing Exponentiality for NBRUmgf Class of Life Distributions
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Department of Statistics and Operation Research, Faculty of Science, King Saud University, Saudi Arabia
Department of Mathematics, College of Science for (girls), Al-Azhar University, Egypt
Department of Computing, University of Eastern Finland, Finland
Department of Basic Sciences, Thebes Higher Institute for Engineering, Thebes Academy,, Egypt
Submission date: 2023-11-28
Final revision date: 2024-01-08
Acceptance date: 2024-02-16
Online publication date: 2024-02-25
Publication date: 2024-02-25
Corresponding author
alaa Gadallah A. M. Gadallah   

Department of Basic Sciences, Thebes Higher Institute for Engineering, Thebes Academy,, Egypt
Eksploatacja i Niezawodność – Maintenance and Reliability 2024;26(2):184185
  • Testing exponentiality Classes of life distributions, Reliability operations
This study deals with a novel category of life distributions called the new better than renewal used in moment generating function (NBRUmgf) class. It delves into the connections between this form of aging and established aging categories, along with its relevance in a shock model. Additionally, it explores how this aging concept remains consistent through certain reliability operations which is consider a very important tool in reliability engineering. The research computes Pitman's asymptotic efficiencies for this testing procedure, comparing them with alternative methods. Furthermore, the study furnishes a comprehensive table of percentiles for the test statistic associated with this proposed method. Furthermore, in order to showcase the relevance of the study's conclusions, we utilize distinct real-world datasets, which illustrate the effectiveness of our test across various types of real data.
This study was funded by Researchers Supporting Project number (RSP 202 4R488 ), King Saud University, Riyadh, Saudi
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