optimality in type i hybrid censoring with random sample size

This paper considers the type i hybrid censoring and investigates the optimal value for the sample size which is assumed as a truncated binomial random variable‎. ‎rayleigh distribution is considered for the lifetime distribution‎. ‎towards this end‎, ‎various factors can be considered and the most important is the sampling cost criterion‎. ‎since the sample size is a random variable‎, ‎the optimal parameter of the random sample size is determined so that the total cost of the test does not exceed a pre-determined value‎. ‎numerical calculations and a simulation study have been performed to evaluate the obtained results‎. ‎finally‎, ‎the conclusion of the article is presented.