Inference for Change Point and Post Change Means After a CUSUM Test / by Yanhong Wu
(Lecture Notes in Statistics ; 180)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | New York, NY : Springer New York |
| 出版年 | 2005 |
| 本文言語 | 英語 |
| 大きさ | XIII, 158 p : online resource |
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| 内容注記 | CUSUM Procedure Change-Point Estimation Confidence Interval for Change-Point Inference for Post-Change Mean Estimation After False Signal Inference with Change in Variance Sequential Classification and Segmentation An Adaptive CUSUM Procedure Dependent Observation Case Other Methods and Remarks |
|---|---|
| 一般注記 | This monograph is the first to systematically study the bias of estimators and construction of corrected confidence intervals for change-point and post-change parameters after a change is detected by using a CUSUM procedure. Researchers in change-point problems and sequential analysis, time series and dynamic systems, and statistical quality control will find that the methods and techniques are mostly new and can be extended to more general dynamic models where the structural and distributional parameters are monitored. Practitioners, who are interested in applications to quality control, dynamic systems, financial markets, clinical trials and other areas, will benefit from case studies based on data sets from river flow, accident interval, stock prices, and global warming. Readers with an elementary probability and statistics background and some knowledge of CUSUM procedures will be able to understand most results as the material is relatively self-contained. The exponential family distribution is used as the basic model that includes changes in mean, variance, and hazard rate as special cases. There are fundamental differences between the sequential sampling plan and fixed sample size. Although the results are given under the CUSUM procedure, the methods and techniques discussed provide new approaches to deal with inference problems after sequential change-point detection, and they also contribute to the theoretical aspects of sequential analysis. Many results are of independent interests and can be used to study random walk related stochastic models. Yanhong Wu is a visiting lecturer in statistics at the University of the Pacific. Previously, he was a visiting associate professor at the University of Michigan and an assistant professor at the University of Alberta. He has published more than forty research papers on the topics of change-point problem, quality control, mixture models, risk theory, and reliability mathematics. He was the receiver of Pierre-Robillard Award from the Canadian Statistical Society. |
| 著者標目 | *Wu, Yanhong author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Probabilities LCSH:Statistics LCSH:Quality control LCSH:Reliability LCSH:Industrial safety LCSH:Econometrics FREE:Mathematics FREE:Probability Theory and Stochastic Processes FREE:Statistical Theory and Methods FREE:Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences FREE:Quality Control, Reliability, Safety and Risk FREE:Statistics for Business/Economics/Mathematical Finance/Insurance FREE:Econometrics |
| 分 類 | DC23:519.2 |
| 巻冊次 | ISBN:9780387262697 
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| ISBN | 9780387262697 |
| URL | http://dx.doi.org/10.1007/b100107 |
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※2021年9月12日以降