Shrinkage preliminary test estimation in exponential distribution under a precautionary loss function is considered. The minimum risk-unbiased estimator is derived and some shrinkage preliminary test estimators are proposed. We apply our results on censored data and records. The relative efficiencies of proposed estimators with respect to the minimum ‎risk-unbiased‎&...

Summary Triple difference has become a widely used estimator in empirical work. A close reading of articles top economics journals reveals that the use to large extent rests on intuition. The identifying assumptions are neither formally derived nor generally agreed on. We give complete presentation triple estimator, and show even though can be computed as between two difference-in-differences e...

This paper is concerned with the problem of state estimation for discrete-time linear systems in presence additional (equality or inequality) constraints on (or estimate). By use minimum variance duality, converted into an optimal control problem. Two algorithmic solutions are described: full information estimator (FIE) and moving horizon (MHE). The main result to show that proposed stable sens...

We consider the problem of estimating the scale parameter &beta of a rescaled F-distribution when &beta has a lower bounded constraint of the form &beta&gea, under the entropy loss function. An admissible minimax estimator of the scale parameter &beta, which is the pointwise limit of a sequence of Bayes estimators, is given. Also in the class of truncated linear estimators, the admissible estim...