A systematic approach to a class of problems in the theory of noise and other random phenomena.
ResearchPublished 1957
ResearchPublished 1957
The development of a perturbation formalism which relates the solutions of the integral equations belonging to two different functions <>. If the transition probability density for <> is the principal solution of two partial differential equations of the Fokker-Planck-Kolmogoroff type, the principal solution of two similar differential equations is the solution of the integral equations. Integral equations with a single variable are discussed, and several examples of quadratic functions of a stationary, n-dimensional, Markoffian Gaussian random process are presented.
This publication is part of the RAND research memorandum series. The research memorandum series, a product of RAND from 1948 to 1973, included working papers meant to report current results of RAND research to appropriate audiences.
This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.
RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.