Regressions in which the fixed number of predictors p exceeds the number of independent observational units n occur in a variety of scientific fields. Sufficient dimension reduction provides a promising approach to such problems, by restricting attention to d  n linear combinations of the...

This paper extends Huber's (1964) min-max result to the case when the scale parameter is unknown and must be estimated along with the location parameter. A min-max problem in which nature chooses F from a family of symmetric distribution functions around a given location-scale central model, the...

In this paper we propose a dimension reduction method for estimating the directions in a multiple-index regression based on information extraction. This extends the recent work of Yin and Cook [X. Yin, R.D. Cook, Direction estimation in single-index regression, Biometrika 92 (2005) 371-384] who...

The collective dynamics of large-scale computer networks remains elusive due to not only the internal adaptive behaviors of network-wide flows, but also the spatial–temporal changes in the external environment. In this paper, we investigate the time-dependent collective behavior by using a...

This study investigates the audit firm’s decision to protect its partners’ personal assets by becoming a limited liability partnership (LLP). We find that the likelihood of an audit firm switching from unlimited to limited liability is increasing in its size and exposure to litigation risk....

This article employed a standard LCC to conduct economic analysis of upgrading the aging residential buildings in China. According to the current situation, an interest rate of 6%, an inflation rate of 3%, an increase rate of annual energy savings of 2% and an increase rate of electricity price...

We introduce the stratified sampling method, and put forward theoretical unbiased estimation of stratified sampling program, as well as the model and statistics of experimental design test. We also discuss the establishment of dietary exposure model, pollutant distribution model, and risk...