Interval Estimation for the Two-Parameter Exponential Distribution Based on the Upper Record Values

Using the data for upper record values, interval estimation scale parameter of two-parameter exponential distribution is presented. In addition, two methods joint confidence region parameters are proposed. terms area, simulation comparison performed in this paper. The criterion minimum area used to obtain optimal method region. To illustrate our proposed methods, one biometrical example and corresponding length also calculated. Our research topic related asymmetrical probability distributions applications across disciplines.