Product Spacing of Stress-Strength Under Progressive Hybrid Censored for Exponentiated-Gumbel Distribution

Alshenawy, R.; Sabry, M.; Almetwally, Ehab M.; Elomngy, Hisham M.

doi:10.32604/cmc.2021.014289

Cited by 25 publications

(14 citation statements)

References 31 publications

(33 reference statements)

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“…In this sub section, we will use an alternative method for the MLE method which is called the maximum product of spacings (MPS), this method is used to estimate the parameters of continuous univariate models, this method was introduced by Cheng and Amin [24] and used for censored application by Singh et al [25], Almetwally and Almongy [26], Basu et al [27], Almetwally et al [28], El-Sherpieny et al [29] and Alshenawy et al [30] and [31]. Let z (1) < ... < z (n) , be a random sample of size n, the uniform spacing of the MKITL distribution can be defined by…”

Section: Maxzimum Product Of Spacings Methodsmentioning

confidence: 99%

A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries

Almetwally

Alharbi

Alnagar

et al. 2021

Axioms

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This paper aims to find a statistical model for the COVID-19 spread in the United Kingdom and Canada. We used an efficient and superior model for fitting the COVID 19 mortality rates in these countries by specifying an optimal statistical model. A new lifetime distribution with two-parameter is introduced by a combination of inverted Topp-Leone distribution and modified Kies family to produce the modified Kies inverted Topp-Leone (MKITL) distribution, which covers a lot of application that both the traditional inverted Topp-Leone and the modified Kies provide poor fitting for them. This new distribution has many valuable properties as simple linear representation, hazard rate function, and moment function. We made several methods of estimations as maximum likelihood estimation, least squares estimators, weighted least-squares estimators, maximum product spacing, Crame´r-von Mises estimators, and Anderson-Darling estimators methods are applied to estimate the unknown parameters of MKITL distribution. A numerical result of the Monte Carlo simulation is obtained to assess the use of estimation methods. also, we applied different data sets to the new distribution to assess its performance in modeling data.

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Section: Maxzimum Product Of Spacings Methodsmentioning

confidence: 99%

A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries

Almetwally

Alharbi

Alnagar

et al. 2021

Axioms

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“…In this subsection, we devoted our efforts to study the most famous classical method of estimation, namely, the MPS method which is considered as the first competitive for the MLEs. By referring to Ng et al [ 35 ], Almetwally et al [ 36 ], and Alshenawy et al [ 37 ], the log-MPSEs under type-I censored samples for the NEXF distribution take the form as follows:

…”

Section: Point Estimation Methodsmentioning

confidence: 99%

Statistical Inference under Censored Data for the New Exponential‐X Fréchet Distribution: Simulation and Application to Leukemia Data

Alzeley

Almetwally

Gemeay

et al. 2021

Computational Intelligence and Neuroscience

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In reliability studies, the best fitting of lifetime models leads to accurate estimates and predictions, especially when these models have nonmonotone hazard functions. For this purpose, the new Exponential-X Fréchet (NEXF) distribution that belongs to the new exponential-X (NEX) family of distributions is proposed to be a superior fitting model for some reliability models with nonmonotone hazard functions and beat the competitive distribution such as the exponential distribution and Frechet distribution with two and three parameters. So, we concentrated our effort to introduce a new novel model. Throughout this research, we have studied the properties of its statistical measures of the NEXF distribution. The process of parameter estimation has been studied under a complete sample and Type-I censoring scheme. The numerical simulation is detailed to asses the proposed techniques of estimation. Finally, a Type-I censoring real-life application on leukaemia patient’s survival with a new treatment has been studied to illustrate the estimation methods, which are well fitted by the NEXF distribution among all its competitors. We used for the fitting test the novel modified Kolmogorov–Smirnov (KS) algorithm for fitting Type-I censored data.

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“…Assuming that θ 1 = λ, θ 2 = β, θ1 = λ and θ2 = β, the mean of the posterior distribution derived using different sampling designs can be obtained and thus Bayes estimators of λ and β are obtained for each sampling design. For application see [22][23][24].…”

Section: Lindley's Approximationmentioning

confidence: 99%

Assessing the Performance of Some Ranked Set Sampling Designs Using HybridApproach

Sabry¹,

Almetwally²,

Almongy³

et al. 2021

Computers, Materials &Amp; Continua

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In this paper, a joint analysis consisting of goodness-of-fit tests and Markov chain Monte Carlo simulations are used to assess the performance of some ranked set sampling designs. The Markov chain Monte Carlo simulations are conducted when Bayesian methods with Jeffery's priors of the unknown parameters of Weibull distribution are used, while the goodness of fit analysis is conducted when the likelihood estimators are used and the corresponding empirical distributions are obtained. The ranked set sampling designs considered in this research are the usual ranked set sampling, extreme ranked set sampling, median ranked set sampling, and neoteric ranked set sampling designs. An intensive Monte Carlo simulation study is conducted using Lindley's approximation algorithm to compute the different designs'based estimators. The study showed that the dependent design "neoteric ranked set sampling design" is superior to other ranked set designs and the total relative efficiency is higher than the other designs' total relative efficiency.

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Product Spacing of Stress-Strength Under Progressive Hybrid Censored for Exponentiated-Gumbel Distribution

Cited by 25 publications

References 31 publications

A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries

A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries

Statistical Inference under Censored Data for the New Exponential‐X Fréchet Distribution: Simulation and Application to Leukemia Data

Assessing the Performance of Some Ranked Set Sampling Designs Using HybridApproach

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