Quantile-based reliability aspects of cumulative Tsallis entropy in past lifetime

Krishnan, Aswathy S.; Sunoj, S. M.; Sankaran, P. G.

doi:10.1007/s00184-018-0678-8

Cited by 9 publications

(2 citation statements)

References 29 publications

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“…Quantile function is an indispensable function in statistical studies in both theoretical and applied studies such as generating random data, model estimation, extreme values studies, graphical analysis, mean residual analysis, etc. (see, [35], [36], [37]). The quantile t q , for 0 < q < 1 of the MEW model can be gotten by the real solution of the given nonlinear equation…”

Section: A Quantiles Median and Modementioning

confidence: 99%

A New Flexible Four Parameter Bathtub Curve Failure Rate Model, and Its Application to Right-Censored Data

et al. 2023

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This article introduces a new flexible four parameter distribution by convolution of the exponential and Weibull distribution using the odd function transformation, which offers greater flexibility in terms of fit, its called the modified exponential-Weibull (MEW). The MEW model is designed to provide a more accurate description of failure time data resulting from a system with one or more failure modes and is characterized by a hazard rate (HR) that takes the shape of a bathtub due to its complexity. The moments properties, quantile function, and residual life are derived and discussed. We discussed the HR function and several distributional properties of the MEW model, and applied maximum likelihood and Bayesian techniques to estimate its unknown parameters. The Hamiltonian Monte Carlo (HMC) algorithm is employed to simulate the posterior distributions and verify the MEW Bayes estimators. We examined the behavior of the MEW model on two data sets with bathtub-shaped HR and compare it with five other popular bathtub-shaped methodologies. The results indicate that the MEW model provided the best description of the two failure time data sets, suggesting that the proposed model could be a viable candidate for solving various real-life problems.INDEX TERMS Bathtub-shape hazard rate, exponential-Weibull model, moments, residual life, Hamiltonian Monte Carlo simulation, time to failure data.

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Section: A Quantiles Median and Modementioning

confidence: 99%

A New Flexible Four Parameter Bathtub Curve Failure Rate Model, and Its Application to Right-Censored Data

et al. 2023

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“…Quantile-based information measures have been used by many researchers in the context of information theory. We refer to the reader, Sunoj and Sankaran [35], Sunoj et al [37], Nanda et al [26], Kumar and Rekha [18], Kayal and Tripathy [14] and Krishnan et al [16] and many others.…”

Section: Kumar and N Singhmentioning

confidence: 99%

Some Results on Quantile-based Dynamic Survival and Failure Tsallis Entropy

Kumar¹,

Rani

Singh

2021

Tamkang J. Math.

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Non-additive entropy measures are important for many applications. In this paper, we introduce a quantile-based non-additive entropy measure, based on Tsallis entropy and study their properties. Some relationships of this measure with well-known reliability mea- sures and ageing classes are studied and some characterization results are presented. Also the concept of quantile-based shift independent entropy measures has been introduced and studied various properties.

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Characterization of continuous symmetric distributions using information measures of records

Ahmadi

2020

Stat Papers

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Quantile-based reliability aspects of cumulative Tsallis entropy in past lifetime

Cited by 9 publications

References 29 publications

A New Flexible Four Parameter Bathtub Curve Failure Rate Model, and Its Application to Right-Censored Data

A New Flexible Four Parameter Bathtub Curve Failure Rate Model, and Its Application to Right-Censored Data

Some Results on Quantile-based Dynamic Survival and Failure Tsallis Entropy

Characterization of continuous symmetric distributions using information measures of records

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