Economic Reliability Group Acceptance Sampling Plans Based on the Inverse-Rayleigh and the Log-Logistic Distributions

Aslam, Muhammad; Mughal, Abdur Razzaque

doi:10.1515/eqc.2011.002

Cited by 12 publications

(22 citation statements)

References 9 publications

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“…This paper only deals with the Dagum distribution to check the multiple numbers of items simultaneously by saving cost and time. The number of group obtained from the proposed plan are less than the existing group plan that indicates that the proposed plan is superior than the existing plan (stated by Aslam and Jun, 2009b) in saving cost and time truncated associated with the life tests. Further, results of the proposed plan shows that the Dagum distribution is better than the Marshall-Olkin Extended Lomax distribution at 10 th and 50 th percentile.…”

Section: Resultsmentioning

confidence: 82%

“…The sampling plan under this type of tester will be called a group acceptance sampling plan under the truncated life test. According to Aslam and Jun (2009b) a sampling plan with this type of tester determines that the sample size is equivalent to determining the number of testers. If we call items in a testers as a group and then determine the required number of groups.…”

Section: Introductionmentioning

confidence: 99%

“…If we call items in a testers as a group and then determine the required number of groups. Aslam and Jun (2009b) developed the group acceptance sampling plan on the truncated life test when the lifetime of a product follow Inverse Rayleigh or log-logistic distribution and Srinivasa Rao (2009) developed the Marshall-Olkin Extended Lomax distribution using a single point approach.…”

Section: Introductionmentioning

confidence: 99%

“…The probability of accepting the defective lot is called the consumer risk and the probability of rejecting the good lot is called the producer risk. Aslam and Jun (2009b) develop the group acceptance sampling plan by satisfying only the consumer,s risk. In this paper we use the two point approach to satisfy consumer and producer risks.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Improved Group Acceptance Sampling Plan for Dagum Distribution under Percentiles Lifetime

Aslam¹,

Shoaib²,

Khan³

2011

Communications for Statistical Applications and Methods

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This paper deals with a group acceptance sampling plan for time truncated tests which are based on the total number of failures from the whole group assuming that the life time of an item follows the Dagum (inverse Burr) distribution. This study is developed when a multiple number of items as a group can be tested simultaneously in a tester. The minimum number of groups required for a given group size and acceptance number is determined such that the producer and consumer risks are satisfied simultaneously at the specified quality level, while the termination time and the number of testers are specified. Comparisons are made between the proposed plan and the existing plan on the basis of size of the groups. Two real examples are provided.

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Section: Resultsmentioning

confidence: 82%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Improved Group Acceptance Sampling Plan for Dagum Distribution under Percentiles Lifetime

Aslam¹,

Shoaib²,

Khan³

2011

Communications for Statistical Applications and Methods

Self Cite

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show abstract

“…The single and double group sampling plans for the sudden life testing are introduced by Jun et al (2006) for the Weibull distribution. Recently, the group sampling plan for the truncated life test is proposed by Aslam and Jun (2009a) for the inverse Rayleigh and log-logistic distributions. Aslam and Jun (2009b) proposed the group sampling plan for the Weibull distribution by considering the producer's and consumer's risks at the same time.…”

Section: Introductionmentioning

confidence: 99%

An Improved Group Sampling Plan Based on Time-Truncated Life Tests

Aslam¹,

Pervaiz²

2010

Communications for Statistical Applications and Methods

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In this paper, a new group sampling plan for the lot acceptance is proposed for the time truncated life test, which can be utilized when multi-item testers are implemented. The design parameters are found using the two-point approach such that the producer's and consumer's risks are satisfied simultaneously at the acceptable reliability level and the lot tolerance reliability level, respectively. The case of Weibull distribution is described to illustrate the procedure that can be used when the quality level is expressed by a multiple of the specified life. The advantage of the proposed plan is demonstrated by comparing with the existing plan in terms of the sample size required. The tables are constructed and some examples are given to illustrate the procedure developed here.

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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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Economic Reliability Group Acceptance Sampling Plans Based on the Inverse-Rayleigh and the Log-Logistic Distributions

Cited by 12 publications

References 9 publications

Improved Group Acceptance Sampling Plan for Dagum Distribution under Percentiles Lifetime

Improved Group Acceptance Sampling Plan for Dagum Distribution under Percentiles Lifetime

An Improved Group Sampling Plan Based on Time-Truncated Life Tests

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

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