http://starc.stthomas.ac.in:8080/xmlui/xmlui/handle/123456789/213 2026-04-08T12:39:19Z 2026-04-08T12:39:19Z Rasin, R S Sunoj, S M Poduval, Rakesh http://starc.stthomas.ac.in:8080/xmlui/xmlui/handle/123456789/414 2025-01-22T08:53:29Z 2023-09-11T00:00:00Z

Kernel-based Estimation of Ageing Intensity Function: Properties and Applications Rasin, R S; Sunoj, S M; Poduval, Rakesh 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 measure to 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 carried out 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.

2023-09-11T00:00:00Z Sunoj, SM Nair, N Unnikrishnan Nanda, Asok K Rasin, RS http://starc.stthomas.ac.in:8080/xmlui/xmlui/handle/123456789/215 2022-03-05T07:39:01Z 2020-05-13T00:00:00Z

Ageing Intensity Function for Conditionally Specified Models Sunoj, SM; Nair, N Unnikrishnan; Nanda, Asok K; Rasin, RS Jiang et al. have introduced a quantitative measure known as the ageing intensity function for evaluating the ageing properties of a component/system. The present study extends this ageing intensity function to the conditionally specified and conditional survival models. In a two component system, these two conditional ageing intensity functions provide the ageing patterns of one component when the other component has either failed or survived a specified period of time. The proposed conditionally ageing intensity function models provide simple expressions for some commonly used bivariate lifetime models. Characterization relationships are established for bivariate exponential, bivariate Weibull, conditional proportional hazards and bivariate weighted models.

2020-05-13T00:00:00Z