Comparison Methods for Stochastic Models and Risks

Alfred Müller is the author of Comparison Methods for Stochastic Models and Risks, published by Wiley. Dietrich Stoyan is a mathematician and statistician. He was a student of Mathematics at Technical University Dresden and of applied research at Deutsches Brennstoffinstitut Freiberg.

• Preface. 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. References. Index.

"…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)