Acceptance sampling plans for inverse Weibull distribution based on truncated life test

Abstract

In this paper, we develop double acceptance sampling plan and group acceptance sampling plan for an inverse Weibull distribution based on a truncated life test. We consider the median lifetime of the test units as a quality parameter and obtain the design parameters such as sample size and acceptance number. These plans are obtained under the consumer's risk and the producer's risk simultaneously involved at a certain confidence level. We present a simulation study to support the proposed methods and a comparison between single and double acceptance sampling plans is made. A real data set is also analyzed to illustrate the implementation of the proposed sampling plans. Further, the situation under which the proposed samplings plans can also be used for other percentiles points is discussed. Finally a conclusion is presented.

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

“…e results of Tables 1-3 are illustrated here with an example, and readers are directed to [7] for more information. Let us say the lifespan of a ball bearing is put to the test using an OPE model with a value of θ � 1.25 and the lifespan of a ball bearing is 2000 cycles.…”

“…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.…”

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

“…For the considered GASP, under the MOKw-E and using median lifetime as the quality parameter, the number of groups decreases and the OC values (P(a)) increase when the true median life increases. This is presented in Table 1 for various values of the parameters (α = 1.25, β = 0.01, r = 10, and a 1 = 1.0) To cross check the results shown in Tables 1 and 2, an example from [17] is considered. Suppose that the lifetime of ball bearings placed on a test follow MOKw-E, with the shape parameter α = 1.25, and the mean specified life of the ball bearings is 2000 cycles.…”

A New Useful Exponential Model with Applications to Quality Control and Actuarial Data

“…Designing the GASP reduced both the time and cost. Several lifetime traditional and extended models are used [ 27 , 29 – 32 ] in designing the GASP by taking into account the quality parameter as mean or median; usually, for skewed distribution, median is preferable [ 27 ].…”