Acceptance Sampling Based on Truncated Life Tests in the Birnbaum Saunders Model

Abstract

We develop acceptance sampling plans assuming that the life test is truncated at a preassigned time. The lifetimes of the test units are assumed to follow the Birnbaum Saunders distribution. The minimum sample size necessary to ensure the specified average life is obtained and the operating characteristic values of the sampling plans and producer's risk are presented. An illustrative example is given.

A New Acceptance Sampling Plans Based on Percentiles for Odds Exponential Log Logistic Distribution

“…Epstein [2] was the first who considered truncated life tests in the exponential distribution. Truncated life tests are considered by many authors for various distributions: for example Sobel and Tischendrof [3], Gupta and Groll [4], Kantam and Rosaiah [5], Baklizi and El Masri [6], Tsai and Wu [7], Balakrishnan et al [8], Kantam et al [9], Rao et al [10] and the references there in.…”

Limited Failure Censored Life Test Sampling Plan in Burr Type X Distribution

“…Gupta and Groll (1961) and Gupta (1962) considered the gamma and log-normal distributions, respectively. More recently, the studies of Kantam, Rosaiah, and Srinivasa Rao (2001), Baklizi (2003), Baklizi and El-Masri (2004), Rosaiah and Kantam (2005), Balakrishanan, Lieva and López (2007), Aslam and Kantam (2008), Srinivasa Rao, Ghitany, and , Rosaiah, Kantam, and Srinivasa Rao (2009), Srinivasa Rao and Kantam (2010), Lio, Tsai, and Wu (2009), Lio, Tsai, and Wu (2010), Lu (2011), Kantam, Sriram, and Suhasini (2012), Srinivasa Rao, Kantam, Rosaiah, and Pratapa Reddy (2012), Srinivasa Rao and , , Subba Rao, Prasad, and , Kantam, Sriram, and Suhasini (2013), Rosaiah, Kantam, Rama Krishnan, and Siva Kumar (2014), Subba Rao, Naga Durgamamba, and and the references therein, are related to construction of acceptance sampling plans based on truncated life tests with different probability models. In all these works, given the termination time of a life test, the construction of the sampling plan consists of determining the minimum number of sample items that are to be life-tested and the acceptance number beyond which the observed failures out of the life-tested items of the sample lead to rejection of the submitted lot, conditioned on pre specified producer's and consumer's risks.…”

Acceptance Sampling Plan Based on Truncated Life Tests for Three Parameter Kappa Distribution

“…Lu [3] provided an acceptance sampling plan based on truncated life tests assuming the Maxwell distribution. Acceptance sampling based on truncated life tests using the Birnbaum Saunders model is considered by Baklizi and El Masri [4]. Kantam et al [5] considered truncated life tests for log-logistic distribution.…”