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2014 Fiscal Year Final Research Report

Weak convergence in infinite-dimensional spaces and statistical applications

Research Project

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Project/Area Number 24540152
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionThe Institute of Statistical Mathematics

Principal Investigator

NISHIYAMA Yoichi  統計数理研究所, 数理・推論研究系, 准教授 (90270412)

Project Period (FY) 2012-04-01 – 2015-03-31
Keywordsマルチンゲール / 確率場 / 最大不等式
Outline of Final Research Achievements

As an alternative to the well-known methods of chaining and bracketing, a new method to establish a stochastic maximal inequality was studied. We took an approach to reduce the maximum of high-dimensional martingales to that of the one-dimensional martingale as the sum of the original martingales.

Free Research Field

統計科学

URL: 

Published: 2016-06-03  

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