The Odd Generalized Exponential Log-Logistic Distribution Group Acceptance Sampling Plan

Abstract

In this manuscript, a group acceptance sampling plan (GASP) is developed when the lifetime of the items follows odd generalized exponential log-logistic distribution (OGELLD), the multiple number of items as a group can be tested simultaneously in a tester. The design parameters such as the minimum group size and the acceptance number are derived when the consumer's risk and the test termination time are specified. The operating characteristic (OC) function values are calculated (intended) according to various quality levels and the minimum ratios of the true average life to the specified average life at the specified producer's risk are derived. The methodology is illustrated through real data.

Group Acceptance Sampling Plan Using Marshall–Olkin Kumaraswamy Exponential (MOKw-E) Distribution

“…The number of categories, 'g', and the acceptance number, 'c', are calculated by balancing the risks of the manufacturer and the customer. For all the parametric combinations considered in this paper, it is observed in the proposed plan that as the percentile ratio increases, g decreases, and as the number of items in each group increases, the number of groups decreases, which is consistent with the results given in [7].…”

“…[5] the Marshall-Olkin (MO) extended Weibull distribution, ref. [6] the generalized exponential distribution and finally, and [7] the odd generalized exponential log-logistic distribution.…”

“…Indeed, the inclusion of parameters has proven to be helpful in terms of exploring skewness and tail properties, as well as enhancing the goodness-of-fit of the created family. For an exhaustive list of references on extended family of probability distributions, see [7]. Additionally, ref.…”

A multiphase acceptance sampling model by attributes to investigate the production interruptions in batch production within tobacco industry

“…Following, the neutrosophic statistical interval method is carried out while generating ASPs for the two-stage process for multiple lines by Aslam et al (2019). Additionally, different SPs are generated regarding fuzzy and group SPs when it follows various distributions such as exponential log-logistic distribution and Birnbaum-Saunders distribution (Khan et al, 2019;Rao et al, 2019;Sivakumar et al, 2019). Besides, Sommer and Steland (2019) developed a multistage acceptance sampling under nonparametric dependent sampling designs to specify both the stage-wise and overall error probabilities and before inspections start.…”

On the Odd Perks Exponential Model: An Application to Quality Control Data

“…Several researchers developed a GASP predicted on a truncated life test for instances when the product followed various sorts of probability distributions. For example, [3] investigated GASP based on the log-logistic and inverse Rayleigh distributions, and the same for [4] with the Marshall-Olkin extended Lomax distribution, [5] with the Marshall-Olkin extended Weibull distribution, [6] with the generalized exponential distribution, [7] with the inverse Weibull distribution, [8] with the odd generalized exponential log-logistic distribution, [9] with the Marshall-Olkin Kumaraswamy exponential distribution, and [10] with the exponentiated Bell exponential distribution.…”