On additive-multiplicative hazards model

Esna-Ashari, Maryam; Asadi, Majid

doi:10.1080/02331888.2016.1230862

Cited by 4 publications

(3 citation statements)

References 22 publications

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“…Since ℎ is decreasing, it follows that (17) becomes the sum of two convex functions. Therefore, ln 𝑓 is convex.…”

Section: Relations Among Logconvexity Propertiesmentioning

confidence: 99%

“…, 𝛼 𝑛 lead to the model of GOS with parameters 𝑘 = 𝛼 𝑛 and 𝑚 𝑖 = (𝑛 −𝑖 +1)𝛼 𝑖 − (𝑛 −𝑖)𝛼 𝑖+1 −1 (and hence 𝛾 𝑖 = (𝑛 −𝑖 +1)𝛼 𝑖 ). In the literature, (1) is usually referred to the proportional hazard rate assumption (see [17,31] for new extensions of the proportional hazard rate model). We refer the reader to Table 1 of Kamps [23] for complete information on various submodels.…”

Section: Introductionmentioning

confidence: 99%

“…Indeed, the specific choice of distribution functions with a cdf and positive real numbers lead to the model of GOS with parameters and (and hence ). In the literature, (1) is usually referred to the proportional hazard rate assumption (see [17,31] for new extensions of the proportional hazard rate model). We refer the reader to Table 1 of Kamps [23] for complete information on various submodels.…”

Section: Introductionmentioning

confidence: 99%

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Likelihood ratio comparisons and logconvexity properties ofp-spacings from generalized order statistics

Alimohammadi

Esna-Ashari²,

Navarro

2021

Prob. Eng. Inf. Sci.

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Due to the importance of generalized order statistics (GOS) in many branches of Statistics, a wide interest has been shown in investigating stochastic comparisons of GOS. In this article, we study the likelihood ratio ordering of $p$ -spacings of GOS, establishing some flexible and applicable results. We also settle certain unresolved related problems by providing some useful lemmas. Since we do not impose restrictions on the model parameters (as previous studies did), our findings yield new results for comparison of various useful models of ordered random variables including order statistics, sequential order statistics, $k$ -record values, Pfeifer's record values, and progressive Type-II censored order statistics with arbitrary censoring plans. Some results on preservation of logconvexity properties among spacings are provided as well.

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“…Since ℎ is decreasing, it follows that (17) becomes the sum of two convex functions. Therefore, ln 𝑓 is convex.…”

Section: Relations Among Logconvexity Propertiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Likelihood ratio comparisons and logconvexity properties ofp-spacings from generalized order statistics

Alimohammadi

Esna-Ashari²,

Navarro

2021

Prob. Eng. Inf. Sci.

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The Bivariate Lack-of-Memory Distributions

Lin¹,

Dou²,

Kuriki³

2017

Sankhya A

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We treat all the bivariate lack-of-memory (BLM) distributions in a unified approach and develop some new general properties of the BLM distributions, including joint moment generating function, product moments and dependence structure. Necessary and sufficient conditions for the survival functions of BLM distributions to be totally positive of order two are given. Some previous results about specific BLM distributions are improved. In particular, we show that both the Marshall--Olkin survival copula and survival function are totally positive of all orders, regardless of parameters. Besides, we point out that Slepian's inequality also holds true for BLM distributions

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