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Amarts: A class of asymptotic martingales a. Discrete parameter

open access: yesJournal of Multivariate Analysis, 1976
AbstractA sequence (Xn) of random variables adapted to an ascending (asc.) sequence Fn of σ-algebras is an amart iff EXτ converges as τ runs over the set T of bounded stopping times. An analogous definition is given for a descending (desc.) sequence Fn. A systematic treatment of amarts is given.
Edgar, Gerald A., Sucheston, Louis
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Book Review: Discrete-parameter martingales [PDF]

open access: yesBulletin of the American Mathematical Society, 1976
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