Maximum likelihood and maximum product of spacings estimations for the parameters of skew-normal distribution under doubly type II censoring using genetic algorithm

Yalçınkaya, Abdullah; Yolcu, Ufuk; Şenoğlu, Birdal

doi:10.1016/j.eswa.2020.114407

Cited by 7 publications

(2 citation statements)

References 54 publications

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“…4 (a). GA is a metaheuristic algorithm designed for optimization purposes, based on the concept of survival of the fittest and biologically inspired by the natural selection process (Murray-Smith, 2012;Yalçınkaya et al, 2021). The algorithm begins to search with a randomly generated population.…”

Section: Genetic Algorithmmentioning

confidence: 99%

Artificial intelligence and machine learning approaches in composting process: A review

Temel

Yolcu

Turan

2023

Bioresource Technology

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Section: Genetic Algorithmmentioning

confidence: 99%

Artificial intelligence and machine learning approaches in composting process: A review

Temel

Yolcu

Turan

2023

Bioresource Technology

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“…where S j = F(x j:r:n ; Ω) − F(x j−1:r:n ; Ω), F(x 0:r:n ; Ω) ≡ 0, and F(x r+1:r:n ; Ω) ≡ 1. Several works have considered the SF besides (or instead of) the LF; see, for example, Singh et al [23], Basu et al [24], Yalçınkaya et al [25], Jeon et al [26], Nassar et al [27], and Dey and Elshahhat [28], among others.…”

Section: Introductionmentioning

confidence: 99%

Statistical Analysis and Applications of Adaptive Progressively Type-II Hybrid Poisson–Exponential Censored Data

Elshahhat

Mohammed

2023

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A new two-parameter extended exponential lifetime distribution with an increasing failure rate called the Poisson–exponential (PE) model was explored. In the reliability experiments, an adaptive progressively Type-II hybrid censoring strategy is presented to improve the statistical analysis efficiency and reduce the entire test duration on a life-testing experiment. To benefit from this mechanism, this paper sought to infer the unknown parameters, as well as the reliability and failure rate function of the PE distribution using both the likelihood and product of spacings estimation procedures as a conventional view. For each unknown parameter, from both classical approaches, an approximate confidence interval based on Fisher’s information was also created. Additionally, in the Bayesian paradigm, the given classical approaches were extended to Bayes’ continuous theorem to develop the Bayes (or credible interval) estimates of the same unknown quantities. Employing the squared error loss, the Bayesian inference was developed based on independent gamma assumptions. Because of the complex nature of the posterior density, the Markov chain with the Monte Carlo methodology was used to obtain data from the whole conditional distributions and, therefore, evaluate the acquired Bayes point/interval estimates. Via extensive numerical comparisons, the performance of the estimates provided was evaluated with respect to various criteria. Among different competing progressive mechanisms, using four optimality criteria, the best censoring was suggested. Two real chemical engineering datasets were also analyzed to highlight the applicability of the acquired point and interval estimators in an actual practical scenario.

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A new approach using the genetic algorithm for parameter estimation in multiple linear regression with long-tailed symmetric distributed error terms: An application to the Covid-19 data

Yalçınkaya

Balay

Şenoğlu

2021

Chemometrics and Intelligent Laboratory Systems

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Maximum likelihood and maximum product of spacings estimations for the parameters of skew-normal distribution under doubly type II censoring using genetic algorithm

Cited by 7 publications

References 54 publications

Artificial intelligence and machine learning approaches in composting process: A review

Artificial intelligence and machine learning approaches in composting process: A review

Statistical Analysis and Applications of Adaptive Progressively Type-II Hybrid Poisson–Exponential Censored Data

A new approach using the genetic algorithm for parameter estimation in multiple linear regression with long-tailed symmetric distributed error terms: An application to the Covid-19 data

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