Abstract:

We considered a sequential k-out-of-n model with covariates,  assumed that the lifetime distribution of given covariates belonged to exponential distribution family, and set up a loglinear model for the scale parameter of the exponential distribution. We studied two hypothesis testing problems of model parameters under order restriction, and discussed asymptotic distributions of the test statistic under order restrictions, which were χ² distributions.

Key words: sequential k-out-of-n system, simple order restriction, hypothesis test, χ² distribution