Strong Convergence of Partitioning Estimation for Nonparametric Regression Function under Dependence Samples

In this paper, we study the strong consistency for partitioning estimation of regression function under samples that axe φ-mixing sequences with identically distribution.Key words: nonparametric regression function; partitioning estimation; strong convergence;φ-mixing sequences.

Asymptotically Optimal Empirical Bayes Estimation of Parameter for Scale-exponential Family under PA Samples

参数的 Bayes 评估者为规模被获得在情况中的指数的家庭相等分布式、确实联系(PA ) 在加权的方形的损失 function.We 下面的样品构造实验 Bayes (EB ) 评估者并且证明它是 asymptotic 最佳。