Martingale approximation
著者
書誌事項
Martingale approximation
VSP, 1997
大学図書館所蔵 件 / 全13件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 293-320) and index
内容説明・目次
内容説明
01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information.
Limit theorems for semimartingales form the basis of the martingale approximation approach. The methods of martingale approximation addressed in this book pertain to estimates of the rate of convergence in the central limit theorem and in the invariance principle. Some applications of martingale approximation are illustrated by the analysis of U-statistics, rank statistics, statistics of exchangeable variables and stochastic exponential statistics. Simplified results of stochastic analysis are given for use in investigations of many applied problems, including mathematical statistics, financial mathematics, mathematical biology, industrial mathematics and engineering.
目次
Frontmatter -- Contents -- Preface -- 1. Basic notions -- 2. Semimartingales -- 3. Inequalities -- 4. Laws of large numbers -- 5. Central limit theorem -- 6. Convergence of semimartingales -- 7. Rate of weak convergence -- 8. Applications of martingales -- Appendix -- Bibliographic notes -- Bibliography -- Subject index
「Nielsen BookData」 より
