∗ Comprehensive coverage of the theory and applications of stochastic orders.
∗ Employs a systematic approach with detailed explanation of each concept.
∗ Features coverage of univariate and multivariate stochastic orders.
∗ Covers a range of applications, from queueing theory, reliability theory, statistical physics, actuarial and financial risk, and economics.
∗ Written by authors with many years experience in researching stochastic orders.
Researchers and graduate students studying stochastic orders will find the comprehensive coverage of the subject ideal for their needs. The range of applications will benefit those working in applied probability and statistics, reliability, actuarial science, 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
List of Symbols.
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)