Wiley Series in Probability and Statistics
3 total works
Comparison Methods for Stochastic Models & Risks
by Alfred Muller and Dietrich Stoyan
Published 6 February 2002
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.
Stochastic Geometry and Its Applications
by Dietrich Stoyan, W. S. Kendall, and Joseph Mecke
Published 22 April 1987
This monograph on the results and methods of stochastic geometry and spatial statistics is accessible to practitioners and non-theoreticians, and may also be used as an introduction to the subject. Topics covered include the basic theories of point processes, random sets, fibre and surface processes, random tessellations, stereology and the statistical theory of shape. The theory is illustrated by many examples drawn from different branches of science; actual data in the form of images are presented, and their statistical analyses are discussed.
Fractals, Random Shapes & Point Fields - Methods of Geometrical Statistics
by Dietrich Stoyan and Dr. Helga Stoyan
Published 16 August 1994
In Part I the reader is introduced to the methods of measuring the fractal dimension of irregular geometric structures. Part II demonstrates important modern methods for the statistical analysis of random shapes. The statistical theory of point fields, with and without marks, is introduced in Part III. Each of the three sections concentrates on the mathematical ideas, rather than detailed proofs, and can be read independently.