Document Type : Original Scientific Paper
Department of Mathematics and Applications, Kosar University of Bojnord, Bojnord, Iran
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.