Harrison, J. Michael, 1944-
Brownian models of performance and control / Brownian Models of Performance & Control J. Michael Harrison, Stanford University, California. - 1 online resource (xviii, 190 pages) : digital, PDF file(s).
Title from publisher's bibliographic system (viewed on 05 Oct 2015). Updated and expanded version of: Brownian motion and stochastic flow systems (John Wiley and Sons, 1985).--Preface.
Brownian motion -- Stochastic storage models -- Further analysis of Brownian motion -- Stochastic calculus -- Optimal stopping of Brownian motion -- Reflected Brownian motion -- Optimal control of Brownian motion -- Brownian models of dynamic inference -- Further examples -- Appendix A. Stochastic processes -- Appendix B. Real analysis.
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, queuing 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.
9781139087698 (ebook)
Brownian motion processes.
Stochastic processes.
QA274.75 / .H37 2013
519.2/33
Brownian models of performance and control / Brownian Models of Performance & Control J. Michael Harrison, Stanford University, California. - 1 online resource (xviii, 190 pages) : digital, PDF file(s).
Title from publisher's bibliographic system (viewed on 05 Oct 2015). Updated and expanded version of: Brownian motion and stochastic flow systems (John Wiley and Sons, 1985).--Preface.
Brownian motion -- Stochastic storage models -- Further analysis of Brownian motion -- Stochastic calculus -- Optimal stopping of Brownian motion -- Reflected Brownian motion -- Optimal control of Brownian motion -- Brownian models of dynamic inference -- Further examples -- Appendix A. Stochastic processes -- Appendix B. Real analysis.
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, queuing 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.
9781139087698 (ebook)
Brownian motion processes.
Stochastic processes.
QA274.75 / .H37 2013
519.2/33