Group Acceptance Sampling Plan Using Marshall–Olkin Kumaraswamy Exponential (MOKw-E) Distribution

Almarashi, Abdullah M.; Khan, Khushnoor; Chesneau, Christophe; Jamal, Farrukh

doi:10.3390/pr9061066

Cited by 17 publications

(11 citation statements)

References 18 publications

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“…Designing the GASP reduced both the time and cost. Several lifetime traditional and extended models are used [ 27 , 29 – 32 ] in designing the GASP by taking into account the quality parameter as mean or median; usually, for skewed distribution, median is preferable [ 27 ].…”

Section: Designing Of Gasp Under the Ebelle Modelmentioning

confidence: 99%

“…Recently, Almarashi et al [ 29 ] designed a GASP under Marshall–Olkin–Kumaraswamy exponential distribution by using the data of breaking strength of carbon fibers. The data consist the 50 observed values with mean (1.975) and median (1.190) breaking strength of carbon fibers, respectively.…”

Section: Practical Implementation Of the Proposed Ebelle Modelmentioning

confidence: 99%

“…Under the K–S test, the maximum distance between actual and fitted yielded as 0.0681 with p value 0.9743 under Marshall–Olkin–Kumaraswamy exponential distribution. We used the same data as data-4, and our proposed three-parameter EBellE model is slightly better fit compared to four-parameter Marshall–Olkin–Kumaraswamy exponential distribution [ 29 ] as K-S test as 0.0680 with improved p value as 0.9749. The estimated parameters (SEs), namely,

= 0.3913 (0.1308),

= 0.9088 (0.2114), and

= 0.3431 (0.5766).…”

Section: Practical Implementation Of the Proposed Ebelle Modelmentioning

confidence: 99%

See 2 more Smart Citations

A New Useful Exponential Model with Applications to Quality Control and Actuarial Data

Fayomi

Tahir

Algarni

et al. 2022

Computational Intelligence and Neuroscience

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The compounding approach is used to introduce a new family of distributions called exponentiated Bell G, analogy to exponentiated G Poisson. Several essential properties of the proposed family are obtained. The special model called exponentiated Bell exponential (EBellE) is presented along with properties. Furthermore, the risk theory related measures including value-at-risk and expected-shortfall are also computed for the special model. Group acceptance sampling plan is designed when a lifetime of a product or item follows an EBellE model taking median as a quality parameter. The parameters of the proposed model are estimated by considering maximum likelihood approach along with simulation analysis. The usefulness of the proposed model is illustrated by practical means which yield better fits as compared to several exponential related extended models.

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Section: Designing Of Gasp Under the Ebelle Modelmentioning

confidence: 99%

Section: Practical Implementation Of the Proposed Ebelle Modelmentioning

confidence: 99%

= 0.3913 (0.1308),

= 0.9088 (0.2114), and

= 0.3431 (0.5766).…”

Section: Practical Implementation Of the Proposed Ebelle Modelmentioning

confidence: 99%

See 1 more Smart Citation

A New Useful Exponential Model with Applications to Quality Control and Actuarial Data

Fayomi

Tahir

Algarni

et al. 2022

Computational Intelligence and Neuroscience

Self Cite

View full text Add to dashboard Cite

show abstract

“…Several researchers developed a GASP predicted on a truncated life test for instances when the product followed various sorts of probability distributions. For example, [3] investigated GASP based on the log-logistic and inverse Rayleigh distributions, and the same for [4] with the Marshall-Olkin extended Lomax distribution, [5] with the Marshall-Olkin extended Weibull distribution, [6] with the generalized exponential distribution, [7] with the inverse Weibull distribution, [8] with the odd generalized exponential log-logistic distribution, [9] with the Marshall-Olkin Kumaraswamy exponential distribution, and [10] with the exponentiated Bell exponential distribution.…”

Section: Introductionmentioning

confidence: 99%

“…In fact, parameter induction has been shown to be beneficial for examining skewness and tail features as well as improving the convergent validity of the developed model. A detailed review of it is presented by [9]. e most pertinent source for the theoretical framework of the present study is [11], where the authors used the Perks distribution [12] as the baseline distribution in the exponential distribution [13] and investigated many properties of the odd Perks exponential (OPE) distribution.…”

Section: Introductionmentioning

confidence: 99%

On the Odd Perks Exponential Model: An Application to Quality Control Data

Shafiq

Jamal

Chesneau

et al. 2022

Advances in Operations Research

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In the present study, the group acceptance plan is examined when the lifetime of an item follows the odd Perks exponential distribution, and a large number of items regarded as a group are evaluated simultaneously. The crucial parameters are derived from the consumer risk and the test termination period. The operating characteristics function values are generated for various quality levels. An optimized group acceptance plan and comparison of group acceptance sampling plan with the ordinary sampling plan are also presented. Additionally, a graphical illustration of operating characteristics for diverse groups and parametric values is provided. The minimum ratios of the actual average life to the stipulated average life are likewise computed at the prescribed producer’s risk. Examples are used to illustrate the outcomes via our algorithm under the odd Perks exponential distribution setting. It is explained using a quality control dataset to establish its practical versatility.

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A group acceptance sampling plan for ‘Another Generalized Transmuted‐Exponential Distribution’ based on truncated lifetimes

Fayomi

Khan

2022

Quality & Reliability Eng

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The present paper focuses on the group acceptance sampling plan when the characteristic of interest follows Another Generalized Transmuted‐Exponential distribution. The probability of acceptance is calculated using mean life as a quality parameter for obtaining design parameters such as sample size ‘n’ and acceptance number ‘c’. The values of the operating characteristic function are determined for different quality levels. The plan satisfies both the producer's and consumer's risks at specified quality levels. Relevant r codes using Monte Carlo simulation are appended for use by academia and practitioners. The simulated results of the study are exhibited in the form of tables and explained with relevant examples. Results of the proposed plan are compared with the results generated using maximum likelihood estimates of Another Generalized Transmuted‐Exponential distribution. Easy to follow methodology of the current paper will open new vistas for applying the technique of group acceptance sampling plan to a variety of transmuted probability distributions. For illustration purposes, real data set is also analyzed to show the implementation of the proposed sampling plan.

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Group Acceptance Sampling Plan Using Marshall–Olkin Kumaraswamy Exponential (MOKw-E) Distribution

Cited by 17 publications

References 18 publications

A New Useful Exponential Model with Applications to Quality Control and Actuarial Data

A New Useful Exponential Model with Applications to Quality Control and Actuarial Data

On the Odd Perks Exponential Model: An Application to Quality Control Data

A group acceptance sampling plan for ‘Another Generalized Transmuted‐Exponential Distribution’ based on truncated lifetimes

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