Some Criteria for Aging

Bryson, Maurice C.; Siddiqui, M. M.

doi:10.2307/2286084

Cited by 114 publications

(40 citation statements)

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“…For the purpose of illustration of our test, we analyze the survival data of 211 prostate cancer patients (cf. Bryson and Siddiqui [1]). Chen, Hollander and Langberg [4] and Lim and Park [8] apply their tests to the same data and conclude that this data strongly supports the DMRL alternative.…”

Section: Asymptotic Relative Efficiencymentioning

confidence: 98%

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On Testing Monotonicity of Mean Residual Life from Randomly Censored Data

Lim¹,

Koh²

1996

ETRI J

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This paper proposes a new nonparametric test for testing the null hypothesis that the MRL is constant against the alternative hypothesis that the MRL is decreasing (increasing) for ramdomly censored data. The proposed test statistic is a L‐statistic, and we use L‐statistic theory to establish its asymptotic normality of the test statistic. We discuss the efficiency loss due to censoring and also calculate the asymptotic relative efficiencies of our test statistic with respect to the Chen, Hollander and Langberg's test for several alternatives.

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Section: Asymptotic Relative Efficiencymentioning

confidence: 98%

“…The MRL function, m.t/, represents the expected remaining life of an item at age t. The decreasing mean residual life (DMRL) class is introduced by Bryson and Siddiqui [1] as a criterion for aging. A life distribution F is said to be in DMRL class if m.s/ m.t/ f or all 0 Ä s Ä t:…”

Section: Introductionmentioning

confidence: 99%

On Testing Monotonicity of Mean Residual Life from Randomly Censored Data

Lim¹,

Koh²

1996

ETRI J

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“…The inequality JL') 5 J"' k holds if F , 6 F2 and F , and F2 have the same mean (cf. (7) in [ll]). In particular, it follows that if F is HNBUE (HNWUE) then Jk 5 (2) ( l / k ) C;=, l l j .…”

Section: Relations Between the Ttt Transform And Some Measures Of Incmentioning

confidence: 99%

“…Different properties of these cIasses are discussed, e.g., by Bryson and Siddiqui [7], Marshall and Proschan [16], Haines [9], Barlow and Proschan [2], and Klefsjo [ l l ] .…”

Section: Appendixmentioning

confidence: 99%

Reliability interpretations of some concepts from economics

Klefsjö

1984

Naval Research Logistics

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In a recent article, Chandra and Singpunvalla have pointed out the close relationship between the Lorenz curve, which is frequently used when illustrating income distributions in economics, and the total-time-on-test transform (TTT transform), which has proved to be a very useful tool in reliability. They also presented some characterizations of aging properties by using the Lorenz curve. The purpose of this article is to point out some further results in the same area and to give reliability interpretations of some common measures of income inequality.

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“…For definition and properties of these criteria, we refer Deshpande et al, 5 Barlow and Proschan, 6 and Bryson and Siddiqui. 7 Let X be a nonnegative continuous random variable with distribution function F and survival function F ¼ 1 À F. At age t, we define the random remaining life by X t with survival function…”

Section: Introductionmentioning

confidence: 99%

A Goodness of Fit Approach to the Class of Life Distributions with Unknown Age

İsmail

Abu-Youssef

2011

Quality & Reliability Eng

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Based on the goodness of fit approach, a new test is presented for testing exponentiality against the unknown age (used better than aged in convex ordering (UBAC)) Class of life distributions. The percentiles of this test are tabulated for sample sizes n=5(5)40. It is shown that the proposed test is simple, has high relative efficiency for some commonly used alternatives and enjoys a good power. An example in medical science is considered as a practical application of the proposed test. Copyright © 2011 John Wiley & Sons, Ltd.

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Some Criteria for Aging

Cited by 114 publications

References 0 publications

On Testing Monotonicity of Mean Residual Life from Randomly Censored Data

On Testing Monotonicity of Mean Residual Life from Randomly Censored Data

Reliability interpretations of some concepts from economics

A Goodness of Fit Approach to the Class of Life Distributions with Unknown Age

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