eBook - ePub

Martingale Methods in Statistics

Name: Martingale Methods in Statistics
ISBN: 9781351644037

Yoichi Nishiyama,

258 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Martingale Methods in Statistics

Yoichi Nishiyama,

About this book

Martingale Methods in Statistics provides a unique introduction to statistics of stochastic processes written with the author's strong desire to present what is not available in other textbooks. While the author chooses to omit the well-known proofs of some of fundamental theorems in martingale theory by making clear citations instead, the author does his best to describe some intuitive interpretations or concrete usages of such theorems. On the other hand, the exposition of relatively new theorems in asymptotic statistics is presented in a completely self-contained way. Some simple, easy-to-understand proofs of martingale central limit theorems are included.

The potential readers include those who hope to build up mathematical bases to deal with high-frequency data in mathematical finance and those who hope to learn the theoretical background for Cox's regression model in survival analysis. A highlight of the monograph is Chapters 8-10 dealing with Z -estimators and related topics, such as the asymptotic representation of Z -estimators, the theory of asymptotically optimal inference based on the LAN concept and the unified approach to the change point problems via " Z -process method". Some new inequalities for maxima of finitely many martingales are presented in the Appendix. Readers will find many tips for solving concrete problems in modern statistics of stochastic processes as well as in more fundamental models such as i.i.d. and Markov chain models.

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Yes, you can access Martingale Methods in Statistics by Yoichi Nishiyama in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.