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Hardcover Stochastic Models with Power-Law Tails: The Equation X = Ax + B Book

ISBN: 3319296787

ISBN13: 9783319296784

Stochastic Models with Power-Law Tails: The Equation X = Ax + B

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Book Overview

In this monograph the authors give a systematic approach to the probabilistic properties of the fixed point equation X=AX]B. A probabilistic study of the stochastic recurrence equation X_t=A_tX_{t-1}+B_t for real- and matrix-valued random variables A_t, where (A_t, B_t) constitute an iid sequence, is provided. The classical theory for these equations, including the existence and uniqueness of a stationary solution, the tail behavior with special...

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