Recently, start-up demonstration tests and various extensions of them (in order to accommodate dependence between the trials, to allow for corrective action to be taken once the equipment fails for the first time, etc.) have been discussed in the literature. In this chapter, we propose a start-up demonstration test using a simple scan-based statistic that would facilitate an early rejection of a potentially bad equipment. We then derive the probability generating function of the waiting time for rejection of an equipment and the mean and variance of the waiting time. We also present some recurrence relations satisfied by the probability mass function and the moments. In addition, we indicate how the moment estimator for the unknown probability of success(p)of the individual trials can be derived. The case of start-up demonstration testing when consecutive attempts are dependent in a Markovian fashion is discussed next. Finally, we present a numerical example to illustrate the test proposed and the usefulness of the results established in this chapter.
[1]
Markos V. Koutras,et al.
On a waiting time distribution in a sequence of Bernoulli trials
,
1996
.
[2]
Narayanaswamy Balakrishnan,et al.
Note : start-up demonstration tests under correlation and corrective action
,
1995
.
[3]
Narayanaswamy Balakrishnan,et al.
Start-Up Demonstration Tests Under Markov Dependence Model with Corrective Actions
,
1997
.
[4]
Narayanaswamy Balakrishnan,et al.
Statistical inference from start-up demonstration test data
,
1993
.
[5]
Narayanaswamy Balakrishnan,et al.
Sooner and later waiting time problems for success and failure runs in higher order Markov dependent trials
,
1996
.
[6]
Gerald J. Hahn,et al.
Evaluation of a Start-Up Demonstration Test
,
1983
.