Designing of multiple deferred state sampling plan for generalized inverted exponential distribution

Balamurali, S.; Jeyadurga, P.; Usha, M.

doi:10.1080/07474946.2016.1275459

Cited by 34 publications

(15 citation statements)

References 22 publications

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“…In this section, we would investigate the effect of misspecification of shape parameter on the lot acceptance probabilities for producer's risk (α) and consumer's risk (β). Some writers have earlier done work on the misspecification of shape parameter on various sampling plans like [9], [12] and [13] has used GIED for multiple deferred state sampling plan. Suppose that true shape parameter ( ) and the specified shape parameter (γ) for the designed sampling plan which is different from the true shape parameter .…”

Section: Effect Of Misspecification Of the Shape Parametermentioning

confidence: 99%

A Repetitive Acceptance Sampling Plan for Generalized Inverted Exponential Distribution Based on Truncated Life Test

Singh¹,

Singh²,

Kaur³

2018

IJSRMSS

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In this paper, we consider the generalized inverted exponential distribution (GIED) as a life model to develop various acceptance sampling schemes for truncated life tests. We develop the repetitive acceptance sampling plan (RASP) by attributes based on truncated life test and determine the design parameters satisfying both the producer's risk (α) and consumer's risk (β) simultaneously for the specified quality levels in terms of true median life ratio to the specified life. We are also to minimize average sample number where the constraints are related to the lot acceptance probabilities at the acceptance and limiting quality levels. The performance of the proposed plan is compared with single acceptance sampling plan under the GIED. The proposed sampling plan reduces the average sample number as compare to the single acceptance sampling plan. Tables are obtained for various values of shape parameter and the results are discussed. Also, discussion about the effect of misspecification of shape parameter is explained.

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Section: Effect Of Misspecification Of the Shape Parametermentioning

confidence: 99%

A Repetitive Acceptance Sampling Plan for Generalized Inverted Exponential Distribution Based on Truncated Life Test

Singh¹,

Singh²,

Kaur³

2018

IJSRMSS

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“…Singh [8] proposed a sampling plan used for the scenarios where the product lifetime follows generalized Pareto distribution. In this research, for the sample size, comparisons were made between the single acceptance and the proposed plans.…”

Section: Introductionmentioning

confidence: 99%

Optimal design of multiple dependent state repetitive group sampling plan for Inverse Power Lomax distribution

ASHRAF

Saeed

Saleem

et al. 2022

Hacettepe Journal of Mathematics and Statistics

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A sampling plan named as Multiple Dependent State Repetitive Group Sampling (MD-SRGS) plan is introduced for a time-truncated life test given that the underlying distribution of the product's lifetime is Inverse Power Lomax distribution (IPLD). The proposed sampling plan is developed with the help of two already developed sampling plans (MDS and RGS). The two-point approach OC function known as the producer's risk and customer's risk is used to determine the parameters of the proposed plan. An optimization method is used for different values of customer's risk and producer's risk, for static values of experiment termination ratio and mean ratio, to find out plan parameters (minimum size of the sample, the number of acceptance and rejection, and the number of successive lots). Tables are created for different known values of shape parameters of Inverse Power Lomax distribution. The efficiency of the proposed MDSRGS plan is examined by conducting a comparative study. To accompany the results, graphs are also used for visualizing the average sample and acceptance probabilities with the specific mean ratio. Two real-life applications are also incorporated to demonstrate the operating procedure of the proposed plan.

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“…Balamurali and Jun [6] proved that the MDS sampling plan is more efficient than the SSP in terms of sample size. Balamurali et al [7] designed an MDS sampling plan to ensure the median life of the products under generalized inverted exponential distribution. Nadi and Gildeh [8] proposed a group MDS sampling plan to assure the actual Weibull distributed mean life of the product, which is longer than the specified one.…”

Section: Introductionmentioning

confidence: 99%

Economic Determination of Modified Multiple Dependent State Sampling Plan under Some Lifetime Distributions

Aslam

Jeyadurga

Balamurali

et al. 2021

Journal of Mathematics

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In this paper, the modification of multiple dependent state sampling plan is proposed and designed for assuring a mean lifetime of the products under Birnbaum–Saunders distribution and Weibull distribution. The optimal parameters of the proposed plan are determined based on two points on the operating characteristic curve approach. Different combinations of producer’s risk and consumer’s risk are considered for plan parameters determination. The efficacy of the proposed plan is compared with those of other existing sampling plans using an average sample number and operating characteristic function. The economic designing of the proposed plan is also considered and the comparative study is done based on the total cost of the inspection.

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Designing of multiple deferred state sampling plan for generalized inverted exponential distribution

Cited by 34 publications

References 22 publications

A Repetitive Acceptance Sampling Plan for Generalized Inverted Exponential Distribution Based on Truncated Life Test

A Repetitive Acceptance Sampling Plan for Generalized Inverted Exponential Distribution Based on Truncated Life Test

Optimal design of multiple dependent state repetitive group sampling plan for Inverse Power Lomax distribution

Economic Determination of Modified Multiple Dependent State Sampling Plan under Some Lifetime Distributions

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