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Brownian Models of Performance and Control

Brownian Models of Performance and Control

Hardcover

Probability & Statistics

ISBN10: 1107018390
ISBN13: 9781107018396
Publisher: Cambridge
Published: Dec 2 2013
Pages: 205
Weight: 0.95
Height: 0.80 Width: 6.10 Depth: 9.10
Language: English
Direct and to the point, this book from one of the field's leaders covers Brownian motion and stochastic calculus at the graduate level, and illustrates the use of that theory in various application domains, emphasizing business and economics. The mathematical development is narrowly focused and briskly paced, with many concrete calculations and a minimum of abstract notation. The applications discussed include: the role of reflected Brownian motion as a storage model, queueing model, or inventory model; optimal stopping problems for Brownian motion, including the influential McDonald-Siegel investment model; optimal control of Brownian motion via barrier policies, including optimal control of Brownian storage systems; and Brownian models of dynamic inference, also called Brownian learning models, or Brownian filtering models.

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