Risk of Sequential Estimator of the Failure Rate of Exponential Distribution under Convex Boundary

In this paper the exact determination of the distribution of stopping variable, the moment and risk of sequential estimator of the failure rate of exponential distribution, under convex boundary is obtained. The corresponding Poisson Process is used to derive the exact distribution of stopping variable of sequential estimator of the failure rate. In the end the exact values of mean and risk of sequential estimator of the failure rate is given in a table.