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Activity Number: 511 - High-Dimensional Data Analytics: Theory and Applications
Type: Contributed
Date/Time: Wednesday, August 2, 2017 : 10:30 AM to 12:20 PM
Sponsor: International Chinese Statistical Association
Abstract #324270
Title: A Two-Sample Mean Test for China Haze Pollution Data Over Time
Author(s): Shuyi Zhang* and Yumou Qiu and Song Xi Chen
Companies: Peking University and University of Nebraska-Lincoln and Peking University; Iowa State University
Keywords: Two-sample mean test ; High-dimensional ; Time series ; U-Statistics ; Limiting distribution ; Air pollution

Motivated by the evaluation of China haze pollution over time, we consider a two-sample mean test for high-dimensional time series data. A U-Statistics is proposed to estimate the sum of squared difference between the population means. Its limiting distribution is derived under the null and alternative hypotheses. The proposed method is free of distribution assumption, and is adaptive to temporal dependence. It also does not require specific relationship between sample size and dimension. Simulation study is carried out to compare the performance of the proposed test with other existing methods. Applications to testing significance of China PM2.5 annual difference is discussed.

Authors who are presenting talks have a * after their name.

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