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Chapman & Hall/CRC Pure and Applied Mathematics : Chapman & Hall/CRC Pure and Applied Mathematics - Aleksand Janicki

Chapman & Hall/CRC Pure and Applied Mathematics

By: Aleksand Janicki, A. Weron

Hardcover | 16 November 1993 | Edition Number 1

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This practical reference/text presents new computer methods of approximation, simulation, and visualization for a host of [alpha]-stable stochastic processes and shows how [alpha]-stable variates are useful in the modeling of various problems arising in economics, finances, chemistry, physics, and engineering - providing accurate descriptions of real phenomena.
Offering detailed proofs for most of the results obtained, Simulation and Chaotic Behavior of [alpha]-Stable Stochastic Processes examines the properties of [alpha]-stable random variables and processes . . . supplies theoretical investigations and computer illustrations of the hierarchy of chaos for stochastic processes with applications to stochastic modeling . . . studies and characterizes the ergodic properties of different classes of stochastic processes . . . demonstrates how to apply the results obtained to a wide variety of disciplines . . . and more!
With over 100 computer figures and carefully selected citations to the literature, Simulation and Chaotic Behavior of [alpha]-Stable Stochastic Processes is an invaluable reference for applied mathematicians and probabilists working with stochastic processes, chaos, stochastic modeling, discrete and approximate methods in stochastic analysis, and the applications of statistical methods; electrical and electronics engineers; financiers; physicists; biologists; and chemists; as well as an excellent text for upper-level undergraduate and graduate students in these disciplines taking courses in stochastic processes.
Industry Reviews
." . .it is remarkably complete and includes full references to recent literature." ---The Royal Statistical Society "Throughout the book there are many references to the literature and a wealth of useful and interesting examples exhibiting various types of behavior. A C program presented in an appendix was used to carry out the simulations." ---Zentralblatt fur Mathematik, 2000

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