A new oracle maximal inequality for finite submartingales is derived via integration by parts, generalizing Lenglart's inequality to finite- and certain infinite-dimensional martingale random fields through finite approximation from below.
Weak convergence of some classes of martin- gales with jumps
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From oracle maximal inequalities to martingale random fields via finite approximation from below
A new oracle maximal inequality for finite submartingales is derived via integration by parts, generalizing Lenglart's inequality to finite- and certain infinite-dimensional martingale random fields through finite approximation from below.