We consider theoretically a classification problem where all the covariates are independent Bernoulli random variables X ji ,1 or = i or = n and j = 0, 1, i.e., each variable has values 0 or 1, recording the presence or absence of an event. The parameters of Bernoulli random variables are...

Estimation of normal mean vector has broad applications such as small area estimation, estimation of nonparametric functions and estimation of wavelet coefficients. In this paper, we propose a new shrinkage estimator based on conditional maximum likelihood estimator incorporating with Stein’s...

It is challenging to consider the problem of testing the equality of normal population means when the number of populations is large compared to the sample sizes. In ANOVA with the assumption of homogeneous variance, the F-test is known as an exact test. When variances are heterogeneous, due to...

The material candidates for optically transparent porous membranes with high removal efficiency for ultrafine dust are very limited. In this study, a composite polyester track-etched (PETE) membrane with a conformally passivated, ultrathin metal oxide layer is proposed as a transparent filter...

We consider the performance of the independent rule in classification of multivariate binary data. In this article, broad studies are presented including the performance of the independent rule when the number of variables, d, is fixed or increased with the sample size, n. The latter situation...

When high dimensional microarray data is given, it is of interest to select significant genes by controlling a given level of Type-I error. One popular way to control the level is the false discovery rate (FDR). This paper considers gene selection based on the local false discovery rate. In most...

In the context of classification, it is a common phenomenon that high-dimensional data such as micro-array data consist of only a few informative components. If one uses standard statistical modeling and estimation procedures with entire information, it tends to overfit the data due to noise...

Purpose: The purpose of this study is to examine the impact of the donation appeals requiring physical effort on consumers’ willingness to donate in the context of corporate social responsibility (CSR) initiatives. Moreover, this paper investigates the moderating role of donation proximity on...