CHARACTERIZATIONS AND TESTING HYPOTHESES FOR RNBUmgf CLASS OF LIFE DISTRIBUTIONS

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

doi:10.18642/jsata_7100122044

Cited by 3 publications

(4 citation statements)

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“…With occasion parameter values of n = 10, 20, and 30, our test's power is evaluated at the significance level α = 0.05 concerning three choices. The findings demonstrate that the estimates of our test ∆c (5) are good powers for all other options using Weibull, LFR, and gamma distributions based on 10,000 samples (see Table 5).…”

Section: Testing For Randomly Right-censored Datamentioning

confidence: 62%

“…where Based on PAE expression in Equation ( 14), we get (5), WD] = 0.707, PAE[∆ n (5), LFR] = 0.769, and PAE[∆ n (5), MD] = 0.155, where σ • (5) = 0.14442.…”

Section: Pitman Asymptotic Efficiency (Pae)mentioning

confidence: 99%

“…Ahmad and Mugdadi [2] developed the tests of new better than used convex ordering (NBUC), increasing failure rate average (IFRA), and decreasing mean residual life (DMRL), while Mahmoud et al [3,4] studied the tests of new better than renewal used in Laplace transform order (NBRUL) and new renewal better than used in Laplace transform order (NRBUL). El-Arishy et al [5] created a test statistic to compare the exponentiality to the class renewal new better than used in moment generating function (RNBU mg f ) using the moment inequalities of this class. Further, the new better than renewal used in moment generating function order (NBRU mg f ), used better than aged in convex ordering (UBAC), and overall decreasing life Symmetry 2022, 14, 2353 2 of 13 (ODL) classes have been studied by Hassan and Said [6], Abu-Youssef [7], and Diab and El-Atfy [8].…”

Section: Introductionmentioning

confidence: 99%

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A Moment Inequality for the NBRULC Class: Statistical Properties with Applications to Model Asymmetric Data

et al. 2022

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In this paper, the moment inequalities for some aging distributions are derived based on a mathematical class entitled “a new better than renewal used in Laplace transform order in increasing convex order class (NBRULC)”. The introduced inequalities can be utilized as a new mathematical test for the exponentiality property versus NBRULC. If the mean life is finitely based on these inequalities, then all higher-order moments exist. Pitman’s asymptotic efficiency of the new mathematical test is derived and studied in detail for some asymmetric probability models. The new mathematical test’s power is estimated in reliability studies for a few well-known alternative asymmetric models. The problem in the case of right-censored data is also handled. After that, applying the suggested test to practical issues is demonstrated using asymmetric, real datasets.

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Section: Testing For Randomly Right-censored Datamentioning

confidence: 62%

“…where Based on PAE expression in Equation ( 14), we get (5), WD] = 0.707, PAE[∆ n (5), LFR] = 0.769, and PAE[∆ n (5), MD] = 0.155, where σ • (5) = 0.14442.…”

Section: Pitman Asymptotic Efficiency (Pae)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Moment Inequality for the NBRULC Class: Statistical Properties with Applications to Model Asymmetric Data

et al. 2022

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“…Increasing Failure Rate (IFR) and its extensions, (IFRA), New Better than Used (NBU) and its extensions, (NBUC), (NBUE), (HNBUE), (NBUL), NBRU, NBRUmgf, among many others, for more information, see Klefsjo [1], Ahmed [2], Deshpand et al [3], Al-Ruzaiza et al [4], Barlow and Proschan [5], Ahmed [6], Ahsanullah et al [7], Mahmoud et al [8], Ghosh and Mitra [9], and EL-Arishy et al [10] and references therein. These classifications help establish a common ground for discussing and analyzing aging-related phenomena across different scientific domains.…”

Section: Introductionmentioning

confidence: 99%

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

M.E. Bakr,

E. S. El-Atfy,

Oluwafemi Samson Balogun

et al. 2024

Eksploatacja i Niezawodność – Maintenance and Reliability

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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.

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

EL‐Sagheer

Mahmoud

Etman

2022

J Stat Theory Pract

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CHARACTERIZATIONS AND TESTING HYPOTHESES FOR RNBUmgf CLASS OF LIFE DISTRIBUTIONS

Cited by 3 publications

References 0 publications

A Moment Inequality for the NBRULC Class: Statistical Properties with Applications to Model Asymmetric Data

A Moment Inequality for the NBRULC Class: Statistical Properties with Applications to Model Asymmetric Data

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

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

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