Misra J.C. (ed.) Uncertainty and Optimality: Probability, Statistics and Operations Research

Ruver Edge: World Scientific, 2002. — 558 p.This text deals with different modern topics in probability, statistics and operations research. Wherever necessary, the theory is explained in great detail, with illustrations. Numerous references are given, in order to help young researchers who want to start their work in a particular area. The contributors are distinguished statisticians and operations research experts from all over the world.An introduction to the foundations of mathematics. The use of the constructive method in arithmetic and the axiomatic method in geometry gives a unitary understanding of the backgrounds of geometry, of its development and of its organic link with the study of real numbers and algebraic structures Towards A non-subjective Bayesian paradigm.
On some problems of estimation for some stochastic partial differential equations.
Some unifying techniques in the theory of order statistics.
Stochastic orderings among order statistics and sample spacings.
Parametrics to nonparametrics: extending regression models.
Testing goodness of fit of a specific parametric probability model.
U statistics and M[subscript m] estimates.
Parametric inference with generalized ranked set eata.