On testing exponentiality against new better than used of specified age

Pandit, Parameshwar V.; Anuradha, M

doi:10.1016/j.stamet.2006.02.001

Cited by 6 publications

(2 citation statements)

References 13 publications

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“…Given that t • is a given or definite period of interest, it is reasonable to assume that t • is known. See Renea and Samanieg [11] for NBU−t • , Ahmad [12], Zehui and Xiaohu [13] for IFRA−t • and NBU−t • , Mahmoud et al [14] for NBUE−t • , Mahmoud et al [15] for NBURFR−t • , Pandit and Anuradha [16] for NBU−t • , Gadallah [17] for NBU mg f − t • , Abdul Alim [18] for NBUFR−t • , Mahmoud et al [19] for NBUL−t • , Elbatal [20] for NBUC−t • and NBU(2)−t • , and EL-Sagheer [21] for NBRUL−t • . The main objective of the research is that in nonparametric testing of life distributions, we discovered a lack of test efficiency and a weak test power.…”

Section: Introductionmentioning

confidence: 99%

Reliability Class Testing and Hypothesis Specification: NBRULC−t∘ Characterizations with Applications for Medical and Engineering Data Modeling

Alqifari

Eliwa

Etman

et al. 2023

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Due to the complexity of the data being generated day in and day out in many practical domains, as a result of the development of scales for rating the success or failure of reliability, a new domain of reliability called the classes of life and determinant probability distributions has been presented. This article introduces novel statistical probability models for the reliability class of life test under different reliability processes in the age range t∘. Several probabilistic properties and features were derived and rigorously screened to test the new reliability class. According to the U-statistic, a novel hypothesis test was created to evaluate the exponentiality property. The comparative efficiency of the test according to Pitman’s asymptotic efficiency was examined and compared with other reliability classes. To prove the superiority of the new reliability class, some probability models were utilized, including the Weibull, Makeham, gamma, and linear failure rate models. Moreover, critical point simulations of the null Monte Carlo distribution and some applications of the censored and uncensored data were implemented to validate the class test listed by the reliability analysis.

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Section: Introductionmentioning

confidence: 99%

Reliability Class Testing and Hypothesis Specification: NBRULC−t∘ Characterizations with Applications for Medical and Engineering Data Modeling

Alqifari

Eliwa

Etman

et al. 2023

Axioms

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“…Cheng and Lam [6] studied upper and lower bounds for the reliability function in harmonic new better than used in expectation (HNBUE) life distribution class with known first two moments. Pandita and Anuradhab [15] introduced and investigated the testing of new better than used of specified age. Elkahlout [7] studied the relations of HNBRUE class with other existing classes of life distributions.…”

Section: Introductionmentioning

confidence: 99%