By R.E. Burkard, Panos M. Pardalos, Athanasios Migdalas, Rainer E. Burkard
A range of refereed papers in response to talks awarded at a convention on 'Combinatorial and worldwide Optimization' held at Crete, Greece. For researchers in numerical and computational arithmetic, optimization, combinatorics and graph concept, networking and fabrics engineering.
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Burkard, Editors © 2002 World Scientific Publishing Co. Exact rates of Prokhorov convergence under three moment conditions George A. Anastassiou Department of Mathematical The University of Memphis Memphis, TN 38 152, USA Sciences Tomasz Rychlik 1 Institute of Mathematics Polish Academy of Sciences Chopina 12, 87 100 Torun, Poland Abstract We consider families of life distributions with the first three moments belonging to small neighborhoods of respective powers of a positive number. For various shapes of the neighborhoods, we determine exact convergence rates of their Prokhorov radii to zero.
Szego (eds), Towards Global Optimization 2, North-Holland, New York,1978, 71-84. , and Al-Harkan, I. "A Continuous Scatter Search Approach for Global Optimization", Extended Abstract, in: Conference in Applied Mathematical Programming and Modeling (APMOD'95), London, UK, 1995. This page is intentionally left blank Combinatorial and Global Optimization, pp. M. Pardalos, A. Migdalas and R. Burkard, Editors © 2002 World Scientific Publishing Co. Exact rates of Prokhorov convergence under three moment conditions George A.
3, 257-263. A. (1992). Weak convergence and the Prokhorov radius, J. Math. Anal. Appl. 163, 541-558. A. T. (1992). Moments problems and their applications to characterization of stochastic processes, queueing theory, and rounding problem. In Approximation Theory, Lecture Notes in Pure and Appl. Math. 138, 1-77. Dekker, New York. A. and Rychlik, T. (1997). Prokhorov radius of a neighborhood of zero described by three moment constraints, submitted. J. J. (1966). Tchebycheff Systems: with Applications in Analysis and Statistics.