ISBN: 9783319806242 - stochastic models with power-law tails: the equation x = ax + b (springer series in operations research and financial engineering) (3 Ergebnisse)

Zustand: New. In English.

Taschenbuch. Zustand: Neu. Stochastic Models with Power-Law Tails | The Equation X = AX + B | Dariusz Buraczewski (u. a.) | Taschenbuch | Springer Series in Operations Research and Financial Engineering | xv | Englisch | 2018 | Springer | EAN 9783319806242 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - In this monograph the authors give a systematic approach to the probabilistic properties of the fixed point equationX=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 emphasis on power law behavior, moments and support, is presented. The authors collect recent asymptotic results on extremes, point processes, partial sums (central limit theory with special emphasis on infinite variance stable limit theory), large deviations, in the univariate and multivariate cases, and they further touch on the related topics of smoothing transforms, regularly varying sequences and random iterative systems.The text gives an introduction to the Kesten-Goldie theory for stochastic recurrence equations of thetype X_t=A_tX_{t-1}+B_t. It provides the classical results of Kesten, Goldie, Guivarc'h, and others, andgives an overview of recent results on the topic. It presents the state-of-the-art results in the field of affine stochastic recurrenceequations and shows relations with non-affine recursions and multivariate regular variation.…