Inference of fuzzy reliability model for inverse Rayleigh distribution

Sabry, M.; Almetwally, Ehab M.; Alamri, Osama Abdulaziz; Yusuf, M.; Almongy, Hisham M.; Eldeeb, Ahmed Sedky

doi:10.3934/math.2021568

Cited by 25 publications

(23 citation statements)

References 25 publications

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“…see the following equation :

In addition, the MPSE of the NEXLBE distribution can be computed by solving an equations numerically of derivatives of

. For more information about spacing method see Sabry et al [17] , Almongy et al [18] , Algarni et al [19] , Almetwally et al [27] , and Shrahili et al [20] .…”

Section: Estimation Methodsmentioning

confidence: 99%

Statistical modelling for the Covid-19 mortality rate in the Kingdom of Saudi Arabia

Alamri

Alessa

Hussam

et al. 2023

Alexandria Engineering Journal

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“…see the following equation :

In addition, the MPSE of the NEXLBE distribution can be computed by solving an equations numerically of derivatives of

. For more information about spacing method see Sabry et al [17] , Almongy et al [18] , Algarni et al [19] , Almetwally et al [27] , and Shrahili et al [20] .…”

Section: Estimation Methodsmentioning

confidence: 99%

Statistical modelling for the Covid-19 mortality rate in the Kingdom of Saudi Arabia

Alamri

Alessa

Hussam

et al. 2023

Alexandria Engineering Journal

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“…The final integral, represented by (22), can be solved immediately using one numerical method in most of standard software programs. So, we can obtain the Bayes estimation of R s,k as…”

Section: Bayes Estimation Of R Skmentioning

confidence: 99%

“…Also, Almetwally et al [ 3 ] studied optimal plan of multi-stress–strength reliability Bayesian and non-Bayesian methods for the alpha power exponential model using progressive first failure. Moreover, about the fuzzy reliability approach, Sabry et al [ 22 ] considered inference of fuzzy reliability model for inverse Rayleigh distribution. Also, Meriem et al [ 17 ] introducing the Power XLindley distribution studied statistical inference, fuzzy reliability and COVID-19 application.…”

Section: Introductionmentioning

confidence: 99%

Multi-component Reliability Inference in Modified Weibull Extension Distribution and Progressive Censoring Scheme

Kohansal

Pérez-González

Fernández

2023

Bull. Malays. Math. Sci. Soc.

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The statistical inference of multi-component reliability stress–strength system with nonidentical-component strengths is considered for the modified Weibull extension distribution in the presence of progressive censoring samples. For this aim, we study the estimation of multi-component reliability parameter in classical and Bayesian inference. So we derive some point and interval estimates such as maximum likelihood estimation, asymptotic confidence intervals, uniformly minimum variance unbiased estimation, approximate and exact Bayes estimation and highest posterior density intervals. Comparing of different estimates is provided by employing the Monte Carlo simulation, the mean squared error and coverage probabilities. Finally, one real data is utilized to illustrate the applicability of this new model.

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“…The component fails if the applied stress exceeds its strength:

. For more information about this model, see Abu El Azm et al [ 17 ], Sabry et al [ 18 ], Yousef and Almetwally [ 19 ], and Hassan et al [ 20 ]. Let

and

be two independent random variables with NEITL

and NEITL

distributions, respectively.…”

Section: Reliability Analysismentioning

confidence: 99%

Reliability Analysis of the New Exponential Inverted Topp–Leone Distribution with Applications

Metwally

Hassan

Almetwally

et al. 2021

Entropy

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The inverted Topp–Leone distribution is a new, appealing model for reliability analysis. In this paper, a new distribution, named new exponential inverted Topp–Leone (NEITL) is presented, which adds an extra shape parameter to the inverted Topp–Leone distribution. The graphical representations of its density, survival, and hazard rate functions are provided. The following properties are explored: quantile function, mixture representation, entropies, moments, and stress–strength reliability. We plotted the skewness and kurtosis measures of the proposed model based on the quantiles. Three different estimation procedures are suggested to estimate the distribution parameters, reliability, and hazard rate functions, along with their confidence intervals. Additionally, stress–strength reliability estimators for the NEITL model were obtained. To illustrate the findings of the paper, two real datasets on engineering and medical fields have been analyzed.

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Inference of fuzzy reliability model for inverse Rayleigh distribution

Cited by 25 publications

References 25 publications

Statistical modelling for the Covid-19 mortality rate in the Kingdom of Saudi Arabia

Statistical modelling for the Covid-19 mortality rate in the Kingdom of Saudi Arabia

Multi-component Reliability Inference in Modified Weibull Extension Distribution and Progressive Censoring Scheme

Reliability Analysis of the New Exponential Inverted Topp–Leone Distribution with Applications

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