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Non-Parametric Statistical Diagnosis - Problems and Methods (Hardcover, 2000 ed.)
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Non-Parametric Statistical Diagnosis - Problems and Methods (Hardcover, 2000 ed.)
Series: Mathematics and Its Applications, 509
Expected to ship within 10 - 15 working days
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This volume gives a systematic account of different problems of
statistical diagnostics, i.e. the detection of changes in
probabilistic characteristics of random processes and fields.
Methods of solving such problems are proposed, based upon a unified
nonparametric approach. Two general formalisations of the problems
of statistical diagnostics are considered. Firstly, the detection
of changes in arbitrary probabilistic distributions of random
processes and fields, glued' from different stationary pieces: in
other words, the detection of moments or areas of such glueing';
and secondly, the detection of statistical contaminations' in data
(realisations of random fields or processes), or abnormal'
observations with deviating statistical characteristics. A general
approach to solving such problems is proposed, which is based upon
the principle of reduction to certain standard situations and which
does not use a priori data about probabilistic distributions. Much
attention is paid to applications in such diverse areas as biology
(EECs) and economics. Audience: This book will be of interest to
researchers in statistics and random processes, as well as advanced
and postgraduate students in the same disciplines, and to
specialists in control theory, systems analysis, biomedical
engineering, and econometrics.
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