This paper will study the estimation of parameter of Topp-Leone distribution based on lower record values. First, the minimum variance unbiased estimator and maximum likelihood estimator are obtained. Then the Bayes estimator is derived under symmetric loss function and further the empirical Bayes estimators is also obtained based on marginal probability density of record sample and maximum lik...

This paper addresses the problems of estimating the normal covariance and precision matrices. A commutator subgroup of lower triangular matrices is considered for deriving a class of invariant estimators. The class shows inadmissibility of the best invariant and minimax estimator of the covariance matrix relative to quadratic loss. Also, in estimation of the precision matrix, a dominance result...

The aim of this paper is to study the estimation of parameter of Burr Type XI distribution on the basis of lower record values. First, the minimum variance unbiased estimator and maximum likelihood estimator are obtained. Then the Bayes and empirical Bayes estimators of the unknown parameter are derived under entropy loss function. Finally, the admissibility and inadmissibility of a class of in...

In recent years, numerical solutions of the equations of compressible magnetohydrodynamic flows have been found to contain intermediate shocks for certain kinds of problems. Since these results would seem to be in conflict with the classical theory of magnetohydrodynamic shocks, they have stimulated attempts to reexamine various aspects of this theory, in particular the role of dissipation. In ...

Let us consider k(?2) independent populations ?1,…,?k, where ?i follows exponential distribution with hazard rate ?i, (i=1,…,k). Suppose Yi1,…,Yin be a random sample of size n drawn from the ith population ?i, i=1,…,k. For i=1,…,k, Yi=?j=1nYij. The natural selection rule is to select associated largest mean. That is, (i=1,…,k) selected if Yi=max(Y1,…,Yk). Based on this rule, chosen. Then, we es...