On the general theory of random fields on the plane

DOI10.1070/RM1982v037n06ABEH004023zbMath0515.60053MaRDI QIDQ3662378

Alexander A. Gushchin

Publication date: 1982

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

Doob-Meyer decompositionDoleans measure of random fieldsrandom fields on the plane

Mathematics Subject Classification ID

Random fields (60G60) Martingales with continuous parameter (60G44)

Related Items (14)

Different kinds of two-parameter martingales ⋮ Doob-Meyer decomposition for set-indexed submartingales ⋮ \(C\)-tightness criterion for non-adapted random fields ⋮ Stochastic inclusions and set-valued stochastic equations driven by a two-parameter Wiener process ⋮ The continuity of the quadratic variation of two-parameter martingales ⋮ Inequalities for the moments of stochastic integrals and stochastic Volterra equations driven a two-parameter Wiener process ⋮ Stochastic inclusions and set-valued stochastic equations with mixed integrals in the plane ⋮ Canonical representation of weak semimartingales defined on the plane ⋮ The proportional hazards regression model with staggered entries: a strong martingale ap\-proach ⋮ Properties of set-valued integrals and set-valued stochastic equations driven by two-parameter martingales ⋮ The set-indexed Itô integral ⋮ Two-parameter stochastic Volterra equations ⋮ Limit theorems for point random fields defined on the plane ⋮ A Compensator Characterization of Planar Point Processes

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