Bayes Inference in Constant Partially Accelerated Life Tests for the Generalized Exponential Distribution with Progressive Censoring

Statistical inference on progressive‐stress accelerated life testing for the logistic exponential distribution under progressive type‐II censoring

“…Further, we set the stress levels for the three ramp-stress ALTs as (20,2), (15,10,5), and (20,15,10,5), respectively. The ML and Bayes estimates are compared in terms of their mean squared errors (MSEs) and the ACI and HPD intervals are compared in terms of average interval lengths and coverage probabilities.…”

“…Therefore, the given data set can be analyzed using this distribution. Further, to study under progressive censoring, we consider m= (5,8,5) and the censoring schemes as R 1 =(10,0 *4 ),R 2 =(11,0 *7 ), R 3 =(10,0 *4 ). We have presented maximum likelihood estimates and noninformative Bayes estimates ( by setting the hyperparameters p=0 and q=0) of unknown quantities in Table 2.…”

“…products under study are obtained or the test is ended by some preplanned mechanism and inference for such models has been discussed by many authors, see for instance, Kim and Bai, 2 Watkins and John, 3 Fan and Yu, 4 Jaheen et al, 5 Guan et al, 6 Fan and Yu 7 and El-Din et al, 8 Ismail, 9 Nassar and Dey, 10 and Lin et al 11 Further, step-stress ALT is the one which is widely discussed in the recent years because the stress level on each unit is not constant but is increased step by step at prespecified times or upon the occurrence of a fixed number of failures (see Figure 1 [middle]). A step-stress ALT with only two stress levels is known as simple step-stress ALT while the one having more than two stress levels are known as multiple step-stress ALT.…”

Classical and Bayesian inference on progressive‐stress accelerated life testing for the extension of the exponential distribution under progressive type‐II censoring

“…In constant‐stress ALT, each unit is run at constant high stress until either all units fail or the test terminates. Constant‐stress models were studied by several authors; see Kim and Bai, Watkins and John, Jaheen et al, Guan et al, and Mohie El‐Din et al()…”

“…1 In constant-stress ALT, each unit is run at constant high stress until either all units fail or the test terminates. Constant-stress models were studied by several authors; see Kim and Bai, 2 Watkins and John, 3 Jaheen et al, 4 Guan et al, 5 and Mohie El-Din et al 6,7 In step-stress ALT, the stress on every unit is not fixed but is increasing step by step at prespecified times or simultaneous the occurrence of a fixed number of failures. The step-stress models were studied extensively in the literature; see, for instance, Miller and Nelson, 8 Bai et al, 9 Gouno et al, 10 Balakrishnan et al, 11 and Mohie El-Din et al [12][13][14] In progressive-stress ALT, the stress on each test unit is continuously increasing in time.…”