10 citations · 17 across the 13 of their papers we have counts for
5 papers · 1 filter
From -domination maximal inequalities to infinite-dimensional martingales, towards high-dimensional statistics
Yoichi Nishiyama
A novel approach is proposed to establish a sharp upper bound on the expected supremum of a separable martingale random field, serving as an alternative to classical universal chai…
From a stochastic maximal inequality to infinite-dimensional martingales
Yoichi Nishiyama
As an alternative to the well-known methods of "chaining" and "bracketing" that have been developed in the study of random fields, a new method, which is based on a stochastic maxi…
A stochastic maximal inequality, strict countability, and infinite-dimensional martingales
Yoichi Nishiyama
As an alternative to the well-known methods of "chaining" and "bracketing" that have been developed in the study of random fields, a new method, which is based on a {\em stochastic…
A stochastic maximal inequality, strict countability, and related topics
Yoichi Nishiyama
As an alternative to the well-known methods of "chaining" and "bracketing" that have been developed in the study of random fields, a new method, which is based on a stochastic maxi…
On the paper ``Weak convergence of some classes of martingales with jumps''
Yoichi Nishiyama
This note extends some results of Nishiyama [Ann. Probab. 28 (2000) 685--712]. A maximal inequality for stochastic integrals with respect to integer-valued random measures which ma…