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Comparison Methods for Stochastic Models and Risks




Comparison Methods for Stochastic Models and Risks

Alfred Müller, Dietrich Stoyan

ISBN: 978-0-471-49446-1 February 2002 350 Pages


Stochastic order relations prprovide a valuable insight into the behaviour of complex stochastic (random) systems and enable the user to collect meaningful comparative data. Application areas include queueing systems, actuarial and financial risk, decision making and stochastic simulation.
* Applicable to a broad range of scientific disciplines, including economics, finance, insurance and operations research
* Provides coverage of the latest research and applications
An essential resource for researchers and postgraduate students appliying stochastic order relations, and scientisits from applied statistics, operations research, economics and finance.

Univariate Stochastic Orders

Theory of Integral Stochastic Orders

Multivariate Stochastic Orders

Stochastic Models, Comparison and Monotonicity

Monotonicity and Comparability of Stochastic Processes

Monotonicity Properties and Bounds for Queueing Systems

Applications to Various Stochastic Models

Comparing Risks.

List of Symbols.


"…a noteworthy contribution to applied probability, and I would recommend it to anyone interested in applied stochastic modeling." (Journal of the American Statistical Association, June 2005)

“…will replace the excellent but now slightly dated text by Shaked and Shathikumar (1994) as the standard reference on stochastic orders.” (Statistical Papers, Vol.46, No.1, January 2005)

"...provides an up-to-date survey of a notable area..." (Mathematical Reviews, 2003d)

"...discusses the major concepts related to stochastic orders..." (SciTech Book News, Vol. 26, No. 2, June 2002)

"...a very timely and methodically orientated book..." (Zentralblatt Math, Vol.999, No.24, 2002)

Alfred Muller's website Visit author Alfred Mueller's website for further information about his published, and ongoing research in the field.