Advanced Approach for Estimating Failure Rate Using Saddlepoint Approximation
In the present study paper, a failure (hazard) rate function approximates the probability distribution for the linear combination of a random variable considered a highly complex model. The saddlepoint approximation approach is used to approximate the probability mass function and the cumulative dis...
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oai:doaj.org-article:d8be3ee9f49c48b38fa8bc87aa39fbfd2021-11-25T19:06:15ZAdvanced Approach for Estimating Failure Rate Using Saddlepoint Approximation10.3390/sym131120412073-8994https://doaj.org/article/d8be3ee9f49c48b38fa8bc87aa39fbfd2021-10-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2041https://doaj.org/toc/2073-8994In the present study paper, a failure (hazard) rate function approximates the probability distribution for the linear combination of a random variable considered a highly complex model. The saddlepoint approximation approach is used to approximate the probability mass function and the cumulative distribution function to derive the approximation of the failure (hazard) rate with a high level of accuracy. The superior performance of this method is shown by numerical simulations and comparison with the performance of other approximation methods.Alya Al MutairiMDPI AGarticlesaddlepoint approximationsprobability mass functionprobability distribution functionPoisson random variablelinear combinationsymmetryMathematicsQA1-939ENSymmetry, Vol 13, Iss 2041, p 2041 (2021) |
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saddlepoint approximations probability mass function probability distribution function Poisson random variable linear combination symmetry Mathematics QA1-939 |
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saddlepoint approximations probability mass function probability distribution function Poisson random variable linear combination symmetry Mathematics QA1-939 Alya Al Mutairi Advanced Approach for Estimating Failure Rate Using Saddlepoint Approximation |
description |
In the present study paper, a failure (hazard) rate function approximates the probability distribution for the linear combination of a random variable considered a highly complex model. The saddlepoint approximation approach is used to approximate the probability mass function and the cumulative distribution function to derive the approximation of the failure (hazard) rate with a high level of accuracy. The superior performance of this method is shown by numerical simulations and comparison with the performance of other approximation methods. |
format |
article |
author |
Alya Al Mutairi |
author_facet |
Alya Al Mutairi |
author_sort |
Alya Al Mutairi |
title |
Advanced Approach for Estimating Failure Rate Using Saddlepoint Approximation |
title_short |
Advanced Approach for Estimating Failure Rate Using Saddlepoint Approximation |
title_full |
Advanced Approach for Estimating Failure Rate Using Saddlepoint Approximation |
title_fullStr |
Advanced Approach for Estimating Failure Rate Using Saddlepoint Approximation |
title_full_unstemmed |
Advanced Approach for Estimating Failure Rate Using Saddlepoint Approximation |
title_sort |
advanced approach for estimating failure rate using saddlepoint approximation |
publisher |
MDPI AG |
publishDate |
2021 |
url |
https://doaj.org/article/d8be3ee9f49c48b38fa8bc87aa39fbfd |
work_keys_str_mv |
AT alyaalmutairi advancedapproachforestimatingfailurerateusingsaddlepointapproximation |
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