The Weibull Generalized Exponential Distribution with Censored Sample: Estimation and Application on Real Data

Almongy, Hisham M.; Almetwally, Ehab M.; Alharbi, Randa; Alnagar, Dalia; Hussam, Eslam; El-Din, M. M. Mohie

doi:10.1155/2021/6653534

Cited by 33 publications

(19 citation statements)

References 31 publications

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“…If necessary, the distribution can be utilized to estimate the likelihood of fluid breakdown during real-world applications. Reference [ 35 ] investigated the data further in the context of type-II PCS, whereas [ 65 ] investigated the data in the context of adaptive type-II PCS.…”

Section: Real-life Data Applicationmentioning

confidence: 99%

Parameter Estimation in Step Stress Partially Accelerated Life Testing under Different Types of Censored Data

Kamal

Siddiqui

Rahman

et al. 2022

Computational Intelligence and Neuroscience

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A long testing period is usually required for the life testing of high-reliability products or materials. It is possible to shorten the testing process by using ALTs (accelerated life tests). Due to the fact that ALTs test products in harsher settings than are typical use conditions, the life expectancy of the objects they evaluate is reduced. Censored data in which the specific failure timings of all units assigned to test are not known, or all units assigned to test have not failed, may arise in ALTs for a variety of reasons, including operational failure, device malfunction, expense, and time restrictions. In this paper, we have considered the step stress partially accelerated life test (SSPALT) under two different censoring schemes, namely the type-I progressive hybrid censoring scheme (type-I PHCS) and the type-II progressive censorship scheme (type-II PCS). The failure times of the items are assumed to follow NH distribution, while the tampered random variable (TRV) model is used to explain the effect of stress change. In order to obtain the estimates of the unknown parameters, the maximum likelihood estimation (MLE) approach is adopted. Furthermore, based on the asymptotic theory of MLEs, the approximate confidence intervals (ACIs) are also constructed. The point estimates under two censoring schemes are compared in terms of root mean squared errors (RMSEs) and relative absolute biases (RABs), while ACIs are compared in terms of their lengths and coverage probabilities (CPs). The performance of the estimators has been evaluated and compared under two censoring schemes with various sample sizes through a simulation study. Simulation results show that estimates with type-I PHCS outperform estimates with type-II PCS in terms of RMSEs, RABs, lengths, and CPs. Finally, a real-world numerical example of insulating fluid failure times is presented to show how the approaches will work in reality.

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Section: Real-life Data Applicationmentioning

confidence: 99%

Parameter Estimation in Step Stress Partially Accelerated Life Testing under Different Types of Censored Data

Kamal

Siddiqui

Rahman

et al. 2022

Computational Intelligence and Neuroscience

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“…The [23,24] are used to create the percentile bootstrap (Boot-p) and bootstrap -t confidence intervals for the TIIHLWD unknown parameters α j , β j , and λ j . For more information of bootstrap CI for competing risks model see [25][26][27][28].…”

Section: Bootstrap CImentioning

confidence: 99%

Bayesian and non-Bayesian estimation methods to independent competing risks models with type II half logistic weibull sub-distributions with application to an automatic life test

et al. 2022

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In the survival data analysis, competing risks are commonly overlooked, and conventional statistical methods are used to analyze the event of interest. There may be more than one cause of death or failure in many experimental investigations of survival analysis. A competing risks model will be derived statistically applying Type-II half logistic weibull sub-distributions. Type-II half logistic weibull life?times failure model with independent causes. It is possible to estimate parameters and parametric functions using Bayesian and classical methods. A Bayes estimation is obtained by the Markov chain Monte-Carlo method. The posterior density function and the Metropolis-Hasting algorithm are used to calculate the Markov chain Monte-Carlo samples. Simulation data is used to evaluate the performance of the two methods according to the Type-II censored system. As a test of the discussed model, a real data set is provided.

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“…Recent years have seen an uptick in the number of writers interested in developing novel lifetime distributions for the purpose of fitting actual lifetime data. One of them is: [8][9][10][11][12][13][14][15][16]. On the other hand, it is common knowledge that order statistics may deal and apply with the applications and attributes of random variables and of functions associated to them see [17][18][19] for reference.…”

Section: Introductionmentioning

confidence: 99%

Statistical modeling for COVID 19 infected patient’s data in Kingdom of Saudi Arabia

Aldallal

Gemeay²,

Hussam³

et al. 2022

PLoS ONE

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The objective of this study is to construct a new distribution known as the weighted Burr–Hatke distribution (WBHD). The PDF and CDF of the WBHD are derived in a closed form. Moments, incomplete moments, and the quantile function of the proposed distribution are derived mathematically. Eleven estimate techniques for estimating the distribution parameters are discussed, and numerical simulations are utilised to evaluate the various approaches using partial and overall rankings. According to the findings of this study, it is recommended that the maximum product of spacing (MPSE) estimator of the WBHD is the best estimator according to overall rank table. The actuarial measurements were derived to the suggested distribution. By contrasting the WBHD with other competitive distributions using two different actual data sets collected from the COVID-19 mortality rates, we show the importance and flexibility of the WBHD.

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The Weibull Generalized Exponential Distribution with Censored Sample: Estimation and Application on Real Data

Cited by 33 publications

References 31 publications

Parameter Estimation in Step Stress Partially Accelerated Life Testing under Different Types of Censored Data

Parameter Estimation in Step Stress Partially Accelerated Life Testing under Different Types of Censored Data

Bayesian and non-Bayesian estimation methods to independent competing risks models with type II half logistic weibull sub-distributions with application to an automatic life test

Statistical modeling for COVID 19 infected patient’s data in Kingdom of Saudi Arabia

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