Titlebook: Stochastic Processes; A Festschrift in Hon Stamatis Cambanis,Jayanta K. Ghosh,Pranab K. Sen Book 1993 Springer-Verlag New York, Inc. 1993 p

生意行为

Overview: This volume celebrates the many contributions which Gopinath Kallianpur has made to probability and statistics. It comprises 40 chapters which taken together survey the wide sweep of ideas which have been influenced by Professor Kallianpur‘s writing and research.978-1-4615-7911-3978-1-4615-7909-0

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Foregery

boisterous

Zero-One Law for Semigroups of Measures on Groups,Let (μ.)t>0 be a convolution semigroup of probability measures of Poisson type on a complete separable metric abelian group. The purpose of this note is to provide a short and elementary proof of the zero-one law for (μ.)t>0.

Hemiplegia

面包屑

少量

,Feynman’s Operational Calculus As A Generalized Path Integral,Feynman’s heuristic prescription for forming functions of noncommuting operators is discussed along with methods for making his ideas rigorous. The emphasis is on one method and on the extent to which Feynman’s operational calculus can be viewed as a generalized path integral.

灵敏

Forward and Backward Equations for an Adjoint Process,A Markov chain is observed only through a noisy continuous observation process. A related optimal control problem is formulated in separated form by considering the related Zakai equation. An adjoint process is defined and shown to satisfy a forward stochastic partial differential equation, and also a system of backward parabolic equations.

TEN

凝结剂

,Sur les Variations des Fonctions Aléatoires Gaussiennes,For vector-valued gaussian random functions, we develop, without separability assumptions, properties of the oscillations and we analyse their asymptotic behaviour.