Power Inverted Topp-Leone Distribution in Acceptance Sampling Plans

Abushal, Tahani A.; Hassan, Amal S.; El-Saeed, Ahmed R.; Nassr, Said G.

doi:10.32604/cmc.2021.014620

Cited by 16 publications

(10 citation statements)

References 18 publications

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“…A novel ASP for lengthbiased weighted Lomax distribution was created by Al-Omari et al [22] based on a truncated life test, while an attribute-modified chain sample inspection plan was created by Tripathi et al [23] based on a timetruncated life test under the Darna distribution. Abushal et al [24] developed an ASP for the powerinverted Topp-Leone distribution, which is a truncated life test that takes advantage of the median life of products. Life testing analyzes failure times of test units under normal operating conditions.…”

Section: Introductionmentioning

confidence: 99%

Designing Adaptive Multiple Dependent State Sampling Plan for Accelerated Life Tests

Charongrattanasakul¹,

Bamrungsetthapong²,

Kumam³

2023

Computer Systems Science and Engineering

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A novel adaptive multiple dependent state sampling plan (AMDSSP) was designed to inspect products from a continuous manufacturing process under the accelerated life test (ALT) using both double sampling plan (DSP) and multiple dependent state sampling plan (MDSSP) concepts. Under accelerated conditions, the lifetime of a product follows the Weibull distribution with a known shape parameter, while the scale parameter can be determined using the acceleration factor (AF). The Arrhenius model is used to estimate AF when the damaging process is temperature-sensitive. An economic design of the proposed sampling plan was also considered for the ALT. A genetic algorithm with nonlinear optimization was used to estimate optimal plan parameters to minimize the average sample number (ASN) and total cost of inspection (TC) under both producer's and consumer's risks. Numerical results are presented to support the AMDSSP for the ALT, while performance comparisons between the AMDSSP, the MDSSP and a single sampling plan (SSP) for the ALT are discussed. Results indicated that the AMDSSP was more flexible and efficient for ASN and TC than the MDSSP and SSP plans under accelerated conditions. The AMDSSP also had a higher operating characteristic (OC) curve than both the existing sampling plans. Two real datasets of electronic devices for the ALT at high temperatures demonstrated the practicality and usefulness of the proposed sampling plan.

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Section: Introductionmentioning

confidence: 99%

Designing Adaptive Multiple Dependent State Sampling Plan for Accelerated Life Tests

Charongrattanasakul¹,

Bamrungsetthapong²,

Kumam³

2023

Computer Systems Science and Engineering

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“…Al-Omari et al (2019) studied ASP according to truncated life tests for Rama distribution. For the power inverted Topp-Leone distribution, Abushal et al (2021) considered a single ASP. Isık and Kaya (2021) assumed SASP according to interval type-2 fuzzy sets.…”

Section: Introductionmentioning

confidence: 99%

Zeghdοudi distribution in acceptance sampling plans based on truncated life tests with real data application

Alsultan

Al-Omari

2023

Decis. Mak. Appl. Manag. Eng.

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The acceptance sampling plan (ASP) is one of the key statistics resources in the industrial sector. It entails the decision-making process for accepting or rejecting the products. The investigated quality parameter is the test unit's mean lifespan. This study develops a new ASP for Zeghdοudi distribution (ZD) when the lifetime is shortened to a specific degree. The optimal plan parameters are accomplished by obtaining the minimum sample size mandatory to ensure the identified mean lifetime for fixing the consumer's risk. Besides, the characteristic operating function (OCF) values for the ASP are displayed, and the producer's risk is determined. Several helpful tables are developed for the suggested ASP based on the ZD for suitable employment. An actual data set is fitted to the Zeghdoudi model and other models to examine the applicability of the suggested ASP in the production sector.

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“…He also used the method of greatest possibility and Bayes to estimate and calculate the reliability and risk functions, applying it to real data and comparing it with other distributions, and it proved that it is more efficient in using it in this data. Abushal et al [24] presented a new Inverted Topp Leone power probabilistic model, and its basic characteristics were studied. In the same year, Muhammed and Muhammed [25] conducted a comparison between the estimation methods of the probabilistic model Inverted Topp leone using the classical method, which is the greatest possibility, and the Bayesian estimate of the distribution parameter on complete data.…”

Section: Introductionmentioning

confidence: 99%

A Bayesian and classical estimation of the new probabilistic Inverted Topp Leone Weibull distribution with application

Alomani

Emam

2023

Preprint

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In this article, we present a new modification of the Weibull model with three parameters for analysing events in the real world, called the new Inverted Topp Leone Weibull distribution. The new model has many statistical advantages. The flexibility of the proposed model has been improved. The proposed model can be used to fit data with different shapes, it can be right skewed, left skewed, decreasing, curved and symmetric. The maximum likelihood approach and Bayesian estimation are used to estimate the distribution parameters. Three different loss functions are used for the Bayesian procedure. The calculations show the biases and estimated risks to obtain the best estimator. The bootstrap confidence intervals, the asymptotic confidence intervals, and the observed variance-covariance matrix are obtained. The Metropolis Hastings MCMC procedure is used for the calculations. We apply the composite distribution to two real data from the medical and engineering fields. The goodnessof-fit results show that it performs well compared to other distributions.

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Power Inverted Topp-Leone Distribution in Acceptance Sampling Plans

Cited by 16 publications

References 18 publications

Designing Adaptive Multiple Dependent State Sampling Plan for Accelerated Life Tests

Designing Adaptive Multiple Dependent State Sampling Plan for Accelerated Life Tests

Zeghdοudi distribution in acceptance sampling plans based on truncated life tests with real data application

A Bayesian and classical estimation of the new probabilistic Inverted Topp Leone Weibull distribution with application

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