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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Alya Al Mutairi
Formato: article
Lenguaje:EN
Publicado: MDPI AG 2021
Materias:
Acceso en línea:https://doaj.org/article/d8be3ee9f49c48b38fa8bc87aa39fbfd
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
id oai:doaj.org-article:d8be3ee9f49c48b38fa8bc87aa39fbfd
record_format dspace
spelling 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)
institution DOAJ
collection DOAJ
language EN
topic saddlepoint approximations
probability mass function
probability distribution function
Poisson random variable
linear combination
symmetry
Mathematics
QA1-939
spellingShingle 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
_version_ 1718410308524965888