We consider the purely sequential procedure for estimating the scale parameter of an exponential distribution, when the risk function is bounded by the known preassigned number. In this paper, we provide explicit formulas for the expectation of the total sample size. Also, we propose how to adjust the stopping variable so that the risk is uniformly bounded by a known preassigned number. In the end, the performances of the proposed methodology are investigated with the help of simulations.
Mahmoudi E, Lalehzari R, Roughani G. Sequential Estimation of the Scale Parameter of an Exponential Distribution under Bounded Risk Constraint. JSS 2017; 11 (1) :133-148 URL: http://jss.irstat.ir/article-1-372-en.html