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Communications in Statistics - Theory and Methods, 2012
In this article, based on Ruiz and Navarro (1995) and Sankaran and Sunoj (2004), we study and obtain more properties of discrete doubly truncated mean residual life (DMRL). Some characterizations due to distributions such as geometric, Waring, negative hypergeometric, and discrete Pearson family of distributions are given based on discrete DMRL and ...
A H Rezaei Roknabadi +1 more
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In this article, based on Ruiz and Navarro (1995) and Sankaran and Sunoj (2004), we study and obtain more properties of discrete doubly truncated mean residual life (DMRL). Some characterizations due to distributions such as geometric, Waring, negative hypergeometric, and discrete Pearson family of distributions are given based on discrete DMRL and ...
A H Rezaei Roknabadi +1 more
exaly +2 more sources
Estimation in optimal treatment regimes based on mean residual lifetimes with right‐censored data
Biometrical Journal, 2023AbstractAn optimal individualized treatment regime (ITR) is a decision rule in allocating the best treatment to each patient and, hence, maximizing overall benefits. In this paper, we propose a novel framework based on nonparametric inverse probability weighting (IPW) and augmented inverse probability weighting (AIPW) estimators of the value function ...
Zhishuai Liu +3 more
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Test for Decreasing Mean Residual Lifetimes Based on the Cumulative Residual Renyi’s Entropy
Stochastics and Quality Control, 2022Abstract We introduce a new test for exponentiality against decreasing (increasing) mean residual life alternatives based on a cumulative residual Renyi’s entropy of order α. The exact and asymptotic distributions of the test statistic are given.
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A new test for decreasing mean residual lifetimes
Communications in Statistics - Theory and Methods, 2018ABSTRACTThe mean residual life of a non negative random variable X with a finite mean is defined by M(t) = E[X − t|X > t] for t ⩾ 0. One model of aging is the decreasing mean residual life (DMRL): M is decreasing (non increasing) in time. It vastly generalizes the more stringent model of increasing failure rate (IFR).
Lorenzo, Edgardo +2 more
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Estimation of Two Ordered Mean Residual Lifetime Functions
Biometrics, 1993In many statistical studies involving failure data, biometric mortality data, and actuarial data, mean residual lifetime (MRL) function is of prime importance. In this paper we introduce the problem of nonparametric estimation of a MRL function on an interval when this function is bounded from below by another such function (known or unknown) on that ...
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A bivariate process-based mean residual lifetime model for maintenance and inspection planning
Computers & Industrial Engineering, 2022Abstract In this paper, we present a new performance metric for the reliability analysis of a deteriorating system composed of n parallel subsystems. The explored model outperforms the ordinary mean residual lifetime (MRL) and other state-dependent MRL models in the actual circumstance that it incorporates not only the age factor, but also two basic ...
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On linearly increasing mean residual lifetimes
Journal of Applied Probability, 1978It is shown that the gamma distribution is the unique mixing distribution of exponentials that leads to a linearly increasing mean residual lifetime function. A corollary of this result is that regardless of the mixing process the Pareto distribution is the unique aggregate distribution mixture with this property.
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Evaluations of the mean residual lifetime of an -out-of- system
Statistics & Probability Letters, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Characterization of matrix probability distributions by mean residual lifetime
Mathematical Proceedings of the Cambridge Philosophical Society, 1986The mean residual lifetime of a real-valued random variable X is the function e defined byOne of the more important properties of the mean residual lifetime function is that it determines the distribution of X. See, for example, Swartz [10]. References to related characterizations are given by Galambos and Kotz [3], pages 30–35.
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The Assessment of Residual Lifetime of Steel Structure by Means of the Off-Line System
IFAC Proceedings Volumes, 1997Abstract An OFF-LINE system for detennination of the structure material damage is created. Program units of the OFF-LINE system were made for two levels of evaluation of the residual lifetime. The first level is detennined for plant specialists. The second one is detennined for use by experts from authorised companies.
D. Vincour, S. Vejvoda
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