Improved double acceptance sampling plan based on truncated life test for some popular statistical distributions
Muhammad Aslam, Saminathan Balamurali, Touqeer Arif
Abstract
Muhammad Aslam, Saminathan Balamurali, Touqeer Arif
Abstract
In this paper, a modified double acceptance sampling plan for time-truncated life test is developed. The operating procedure of this plan is also proposed and the performance measures such as the probability of acceptance and the average sample number (ASN) are also derived. We consider gamma distribution, Weibull distribution and Birnbaum–-Saunders distribution for designing the proposed plan. The optimal parameters are determined which will have minimum ASN. The efficiency of the proposed plan is also discussed over the traditional double sampling plan (DSP) and shown that the proposed plan performs better than the existing DSP. The extensive tables are provided for all the distributions and explained with the help of industrial data.
OpenAlex reports 19 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In this paper, a modified double acceptance sampling plan for time-truncated life test is developed. The operating procedure of this plan is also proposed and the performance measures such as the probability of acceptance and the average sample number (ASN) are also derived. We consider gamma distribution, Weibull distribution and Birnbaum–-Saunders distribution for designing the proposed plan. The optimal parameters are determined which will have minimum ASN. The efficiency of the proposed plan is also discussed over the traditional double sampling plan (DSP) and shown that the proposed plan performs better than the existing DSP. The extensive tables are provided for all the distributions and explained with the help of industrial data.
Key concepts: Weibull distribution, Plan (archaeology), Test plan, Acceptance sampling, Mathematics, Sampling (signal processing), Statistics, Test (biology)