Characterizations on Decreasing Laplace Transform of Time to Failure Class and Hypotheses Testing

El-Arishy, S. M.; Diab, L. S.; El-Atfy, E. S.

doi:10.20967/jcscm.2020.03.002

Cited by 4 publications

(1 citation statement)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, the classification of life probability distributions has helped to develop new highly efficient statistical tests. for more details: [8], [16], [25], [26], [9] and [2].…”

Section: Introductionmentioning

confidence: 99%

Testing Exponentiality Against NBUC Class with Some Applications in Health and Engineering Fields

Mohamed,

mansour

2024

Frontiers in Scientific Research and Technology

View full text Add to dashboard Cite

The concept of convex order, which pertains to the arrangement of observations in a dataset, holds significant academic value and finds extensive application across diverse disciplines such as health and engineering. It serves as a robust mathematical tool for the purpose of ranking and comparing distinct alternatives. Nevertheless, the extent to which its performance aligns with the "new better than used" criterion remains mostly ambiguous. The objective of this study is to examine and analyze the exponential property of the idea of new better than used in convex ordering (NBUC), based on the concepts of aging and classes of life distributions. To examine its ramifications in the disciplines of health and engineering. For this purpose, a new test statistic for testing exponentiality versus NBUC property. Some efficiency criteria for the proposed test are estimated and compared with previous tests. Finally, real data examples are used as practical applications for the proposed test..

show abstract

“…Recently, the classification of life probability distributions has helped to develop new highly efficient statistical tests. for more details: [8], [16], [25], [26], [9] and [2].…”

Section: Introductionmentioning

confidence: 99%

Testing Exponentiality Against NBUC Class with Some Applications in Health and Engineering Fields

Mohamed,

mansour

2024

Frontiers in Scientific Research and Technology

View full text Add to dashboard Cite

show abstract

Characterizations and Testing Hypotheses for NBRUL-t $$_{0}$$ Class of Life Distributions

EL‐Sagheer

Mahmoud

Etman

2022

J Stat Theory Pract

View full text Add to dashboard Cite

A New Reliability Class-Test Statistic for Life Distributions under Convolution, Mixture and Homogeneous Shock Model: Characterizations and Applications in Engineering and Medical Fields

Etman

El-Morshedy

Eliwa

et al. 2023

Axioms

View full text Add to dashboard Cite

Over the past few decades, a new area of reliability known as classes of life distributions has developed as a result of the creation of metrics for evaluating the success or failure of reliability. This paper proposes a new reliability class-test statistic for life distributions. In some reliability processes, such as convolution, mixture, and homogeneous shock models, the closure characteristics of the proposed class-test statistic are investigated. To compare the proposed class-test against some competitive tests, the Weibull, linear failure rate (LFR), and Makeham distributions are evaluated. In addition, the relationship between sample size, level of confidence, and critical values is considered to assess the efficacy of the proposed class-test. Furthermore, a Monte Carlo null distribution critical points simulation and some applications of the censored and uncensored data are performed to demonstrate the validity of the proposed class-test in reliability analysis.

show abstract

Characterizations on Decreasing Laplace Transform of Time to Failure Class and Hypotheses Testing

Cited by 4 publications

References 5 publications

Testing Exponentiality Against NBUC Class with Some Applications in Health and Engineering Fields

Testing Exponentiality Against NBUC Class with Some Applications in Health and Engineering Fields

Characterizations and Testing Hypotheses for NBRUL-t $$_{0}$$ Class of Life Distributions

A New Reliability Class-Test Statistic for Life Distributions under Convolution, Mixture and Homogeneous Shock Model: Characterizations and Applications in Engineering and Medical Fields

Contact Info

Product

Resources

About