Description
Book SynopsisThis work covers stochastic order relations, which provide insight into the behaviour of complex stochastic (random) systems and enables the user to collect comparative data. Application areas include queuing systems, actuarial and financial risk, decision making, and stochastic simulation.
Trade Review"…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)
Table of ContentsPreface.
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.
