Improved double acceptance sampling plan based on truncated life test for some popular statistical distributions

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.

Optimal and economic design of modified double sampling plan under new Weibull–Pareto distribution

“…This form of life test is known as time truncated life test. As time truncated life test helps the quality inspector to ensure products' quality where the lifetime is a specified quality characteristic, several authors have designed different sampling plans such as SSP, DSP, modified DSP, special purpose sampling plans, etc., for lot sentencing based on the results obtained through time truncated life test (see for example, Lio et al (2010), Rao et al (2012), Al-Omari (2014), Al-Omari et al (2016, Aslam et al (2013Aslam et al ( , 2016, Aslam et al (2017), Balamurali et al (2017a, b), Al-Omari et al (2018, Kannan et al (2022), Shrahili et al (2021), Alomani and Al-Omari (2022)). Such sampling plans have been designed to ensure the mean and median life of the products under various statistical distributions (see Table 1).…”

“…However, there are some computational difficulties in DSP since it is considered that the cumulative number of defective (or failure) items for lot acceptance determination. Hence, to avoid this complication in computation while considering minimum sample size rather than SSP, Aslam et al (2016) proposed the modification of DSP and named as an improved DSP. It is to be pointed out that the operating procedure of modified DSP slightly differs from the same of DSP.…”

“…But modified DSP allows only one additional sample with equal or unequal size of first sample whereas one or more than one sample is allowed in RGS with same sample size. One can obtain more information on designing of modified DSP by Aslam et al (2016). Sridevi et al (2023) proposed the designing of a modified DSP based on the process capability index and also discussed the designing of the same plan with the economic aspect.…”

Statistical Inference of Two Gamma Distributions under the Joint Type-II Censoring Scheme

“…The Gamma distribution is widely discussed when modeling lifetime distributions in reliability and survival analysis (see, for example, Refs. [10,11]), insurance (see [12,13]), and hydrology (see [14]). As with many other distributions, the Gamma distribution is long-tailed and positively skewed with an infinite terminus on the right.…”

Refined double sampling scheme with measures and application

“…In the existing double sampling, a second sample is selected, and if a decision is not reached based on the first sample, the decision is made based on the combined sample information. However, in the proposed MDS plan, if a decision is not reached based on the first sample, the final decision is made based on the second sample information while using the first sample information to determine the probability of it being in control; see Aslam et al (2016).…”