Statistical Insights: Analyzing Shock Models, Reliability Operations and Testing Exponentiality for NBRUmgf Class of Life Distributions

• Autorzy: Bakr M. E. , El-Atfy E. S. , Balogun Oluwafemi Samson , Tashkandy Yusra A. , Gadallah A. M.

Identyfikatory

DOI

10.17531/ein/184185

• Języki publikacji: EN

Abstrakty

EN

This study focuses on an innovative life distribution category known as the 'New Better than Renewal used in Moment Generating Function' (NBRUmgf) class. It explores the relationships between this particular aging model and established aging categories, and its applicability within a shock model. Moreover, it investigates the consistency of this aging concept through specific reliability operations, which are pivotal tools in reliability engineering. The research involves computing Pitman's asymptotic efficiencies for this testing method and compares them with alternative approaches. Additionally, the study presents an extensive table of percentiles for the test statistic associated with this proposed technique. To underscore the significance of the study's findings, various real-world datasets are employed, demonstrating the efficacy of our test methodology across diverse types of actual data.

Słowa kluczowe

EN

classes of real-life distributions; hypothesis testing; order stochastic; reliability theory; shock model application

• Wydawca: Polskie Naukowo-Techniczne Towarzystwo Eksploatacyjne
• Czasopismo: Eksploatacja i Niezawodność
• Rocznik: 2024
• Tom: Vol. 26, no. 2
• Strony: art. no. 184185
• Opis fizyczny: Bibliogr. 29 poz., tab., wykr.

Twórcy

autor

Bakr M. E.

• Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

autor

El-Atfy E. S.

• Department of Mathematics, College of Science for (girls), Al-AzharUniversity, Egypt

autor

Balogun Oluwafemi Samson

• Department of Computing, University of Eastern Finland, Finland

autor

Tashkandy Yusra A.

• Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

autor

Gadallah A. M.

• Department of Basic Sciences, Thebes Higher Institute for Engineering, Thebes Academy, Egypt

Bibliografia

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