Journal Article10.17713/ajs.v52i5.1497
Kernel-based Estimation of Ageing Intensity Function: Properties and Applications
R. Rasin,S M Sunoj,Rakesh Poduval +2 more
TL;DR: Nonparametric estimator for ageing intensity function based on kernel methods. Asymptotic properties and applications to various probability models.
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Abstract: The notion of ageing plays an important role in reliability and survival analysis as it is an inherent property of all systems and products. Jiang, Ji, and Xiao (2003) proposed a new quantitative measure, known as ageing intensity (AI) function, an alternative measureto study the ageing pattern of probability models. In this paper, we propose a nonparametric estimator for ageing intensity function. Asymptotic properties of the estimator are established under suitable regularity conditions. A set of simulation studies are carriedout based on various probability models to examine the performance of estimator and to establish its efficiency over the classical estimator. The usefulness of the estimator is also examined through a real data set.
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Citations
Reliability Analysis of Distorted Distributions using Aging Intensity Function
Mohamed Kayid,Raghad Almohsen,Zahra Kaabi +2 more
- 10 Jun 2024
TL;DR: The preservation properties of the average intensity order and the monotonic average intensity classes under distorted distributions are studied. Several sufficient conditions are given to get the preservation properties.
1
Preservation of the Aging Intensity Order and the Preservation of the Monotonic Aging Intensity Classes under Distorted Distributions
TL;DR: This paper investigates preservation properties of aging intensity order and monotonic aging intensity classes under distorted distributions, providing sufficient conditions and examples, with applications to parallel systems and semiparametric models with increasing failure rates.
References
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TL;DR: The frequent opportunities I have had of receiving pleasure from your writings and conversation, have induced me to prefer offering to the Royal Society through your medium, this Paper on Life Contingencies, which forms part of a continuation of my original paper on the same subject, published among the valuable papers of the Society, as by passing through your hands it may receive the advantage of your judgment.
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Statistical Size Distributions in Economics and Actuarial Sciences
Christian Kleiber,Samuel Kotz +1 more
- 11 Aug 2003
TL;DR: The Statistical Size Distribution in Economics and Actuarial Sciences (SDFIS) as discussed by the authors is a collection of parametric models that deal with income, wealth, and related notions.
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Stochastic Ageing and Dependence for Reliability
Chin-Diew Lai,Min Xie,R. E. Barlow +2 more
- 28 Mar 2006
TL;DR: A panoramic view of theory and applications of Ageing and dependence in the use of mathematical methods in reliability and survival analysis is provided in this paper, which serves as a reference for professors and researchers involved in reliability analysis.
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Aging property of unimodal failure rate models
Renyan Jiang,Ping Ji,X. Xiao +2 more
TL;DR: It is shown that a unimodal failure rate can be effectively viewed as increasing, decreasing, or constant, depending on the model parameters.
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Properties of aging intensity function
TL;DR: In this article, the aging intensity (AI) function has been used for evaluating the aging property of a unit (that may be a system or a living organism) quantitatively.
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