二维单边截断型分布族中EB估计及其收敛速度

CONVERGENCE RATE OF EB ESTIMATOR OF TWO DIMENSIONAL ONE-SIDED TRUNCATED DISTRIBUTION FAMILY

摘要: 本文讨论了二维单边截断型分布族（I）中参数函数EB估计及其收敛速度。（I） f_θ（x,y）dxdy=c（θ₁,θ₂）f₀（x,y）I_{α,θ₁;c,θ₂}（x,y）dxdy在适当的条件下,满足恰当条件参数函数Q（θ₁,θ₂）的EB估计的收敛速度可任意接近于 1。

Abstract: In this paper we considered convergence rate of EB estimator of two dimensional one-sided truncated distribution family （I） f_θ（x,y）dxdy=c（θ₁,θ₂）f₀（x,y）I_{α,θ₁;c,θ₂}（x,y）dxdy. The convergence rate O(n^-q) of EB estimator of Q（θ） is obtained. When the distribution family is subject to suitable conditions, q can be arbitrarily close to 1.