‎the aim of this paper is to study distribution of ratios of generalized order statistics from pareto distribution. parameter estimation of pareto distribution based on generalized order statistics and ratios of them have been obtained. inferences using method of moments and unbiased estimator have been obtained to develop point estimations. consistency of unbiased estimator has been illustrate...

Supposem and n are integers such that 1 ≤ m ≤ n, andH is a subgroup of the symmetric group Sm of degree m. Define the generalized matrix function associated with the principal character of the group H on an m×m matrix B = (bij) by

Suppose m and n are integers such that 1 ≤ m ≤ n. For a subgroup H of the symmetric group Sm of degree m, consider the generalized matrix function on m×m matrices B = (bij) defined by d(B) = ∑ σ∈H ∏m j=1 bjσ(j) and the generalized numerical range of an n×n complex matrix A associated with d defined by W(A) = {dH(X∗AX) : X is n×m such that X∗X = Im}. It is known that W(A) is convex if m = 1 or i...

A two dimensional generalized thermoelastic problem of a thick circular plate of finite thickness and infinite extent subjected to continuous axisymmetric heat supply and an internal heat generation is studied within the context of generalized thermoelasticity. Unified system of equations for classical coupled thermoelasticity, Lord-Shulman and Green-Lindsay theory is considered. An exact solut...