A two-stage group sampling plan based on truncated life tests for a general distribution

Aslam, Muhammad; Ahmad, Munir

doi:10.1080/00949655.2010.508745

Cited by 13 publications

(9 citation statements)

References 13 publications

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“…Aslam et al [24] proposed a two stage group sampling plan for the Weibull distribution, which improved the results given in [21] in terms of the ASN. Aslam et al [25] developed a two-stage group sampling plan based on truncated life tests for a general distribution. A two stage group sampling plan for Burr Type X based on percentiles was proposed by Aslam et al [26].…”

Section: Severalmentioning

confidence: 99%

A Two-stage Group Sampling Plan Based on Truncated Life Tests for an Odd Generalized Exponential Log-logistic Distribution

Sivakumar

Rao

Rosaiah

et al. 2019

CJAST

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In this article, a time truncated life test based on two-stage group acceptance sampling plan is proposed for lifetime of an item follows odd generalized exponential log-logistic distribution (OGELLD). The ability about the lot acceptance can be made in the first or second stage according to the number of failures from each group. The optimal parameters for the proposed plan are determined such that both producer's as well as consumer's risks are contented simultaneously for the specified unreliability when group size and test duration are specified. The efficiency of the proposed sampling plan is evaluated in terms of average sample number with the existing sampling plan. The results are explained with the help of industrial example. Using exploratory data analysis and then goodness-of-fit, we show a rough indication of the goodness of fit for our model by plotting the superimposed for the data shows that the OGELLD is a good fit and also it is emphasized with Q-Q plot, displayed in Fig. 1. We observed from the tables / results that the number of groups required decrease as the group size increases from 3 to 5 r  and also the Sivakumar et al.; CJAST, 35(4): 1-14, 2019; Article no.CJAST.49268 2 ASN increases marginally, sample size decreases as the group size increases, which indicates that a larger group size may be more economical and it reduces the experimental time and cost. We proposed two-stage group acceptance sampling plan, since it performs much better in terms of the average sample number (ASN) and the operating characteristics than in single-stage group acceptance sampling plan. The advantage of two stage group sampling plan is that it reduces the average sample number (ASN) as compared to the GASP. Original Research Article

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Section: Severalmentioning

confidence: 99%

A Two-stage Group Sampling Plan Based on Truncated Life Tests for an Odd Generalized Exponential Log-logistic Distribution

Sivakumar

Rao

Rosaiah

et al. 2019

CJAST

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“…The acceptance sampling via the group life test is called the group acceptance sampling plan (GASP) which is also often implemented under a truncated life test. GASP based on different distributions have been studied in the recent past by Aslam et al (2009) [3], Aslam et al (2009a) [4], Rao (2009) [24], Aslam et al (2011) [5], Aslam et al (2011a) [6], Ramaswamy and Anburajan (2012) [19].…”

Section: Introductionmentioning

confidence: 99%

Group Acceptance Sampling Plans for Resubmitted lots for life tests based on Half Logistic Distribution

Rao¹,

Rao²

2021

Journal of Data Science

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In this article, a group acceptance sampling plan (GASP) for lot resubmitting is developed to ensure quality of the product lifetime assuming that the product's lifetime follows the half logistic distribution. The parameters of the GASP are determined by satifying the specified producer's and consumer's risks according to the experiment termination time and the number of testers. A comparison between this proposed group sampling and the ordinary group sampling plan is discussed. This proposed plan is justified with an illustration.

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“…In these models, obtaining the sample size is equal to obtaining the number of groups. GASP under truncated life tests depending on various models have been discussed in recent time by Aslam et al (2009), (2011), Aslam and Jun (2009a), (2009b), Rao (2009a),(2009b), . In several circumstances, the customer cannot accept the given lot depending on a simple acceptance sampling scheme.…”

Section: Introductionmentioning

confidence: 99%

Group Acceptance Sampling Plan for Resubmitted Lots: Size Biased Lomax Distribution

Rao

A²

2021

Pak.j.stat.oper.res.

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This research reveals a group acceptance sampling plan (GASP) for lot resubmitting is designed for conditions wherein an item life is taken from the size biased Lomax distribution (SBLD). The plan parameters of the GASP are obtained by fulfilling the prefixed producer’s and consumer’s risks as per the test completion time and the number of testers. The projected plan needs a minimal sample size in comparison with the standard GASP. This proposed plan is justified with an example.

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A two-stage group sampling plan based on truncated life tests for a general distribution

Cited by 13 publications

References 13 publications

A Two-stage Group Sampling Plan Based on Truncated Life Tests for an Odd Generalized Exponential Log-logistic Distribution

A Two-stage Group Sampling Plan Based on Truncated Life Tests for an Odd Generalized Exponential Log-logistic Distribution

Group Acceptance Sampling Plans for Resubmitted lots for life tests based on Half Logistic Distribution

Group Acceptance Sampling Plan for Resubmitted Lots: Size Biased Lomax Distribution

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