Inequalities and Extremal Problems in Probability and Statistics: Selected Topics

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Iosif Pinelis (Professor, Department of Mathematical Sciences, Michigan Technological University, Houghton, Michigan, USA) Victor H. de la Peña (Professor, Department of Statistics, Columbia University, USA)

Inequalities and Extremal Problems in Probability and Statistics

Selected Topics

Iosif Pinelis (Professor, Department of Mathematical Sciences, Michigan Technological University, Houghton, Michigan, USA), Victor H. de la Peña (Professor, Department of Statistics, Columbia University, USA), Rustam Ibragimov (Professor of Finance and Econometrics, Imperial College Business School, UK) , Adam Osȩkowski (Associate Professor, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Poland)

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English

Academic Press Inc
08 May 2017

Probability & statistics; Stochastics

Inequalities and Extremal Problems in Probability and Statistics: Selected Topics presents various kinds of useful inequalities that are applicable in many areas of mathematics, the sciences, and engineering. The book enables the reader to grasp the importance of inequalities and how they relate to probability and statistics.

This will be an extremely useful book for researchers and graduate students in probability, statistics, and econometrics, as well as specialists working across sciences, engineering, financial mathematics, insurance, and mathematical modeling of large risks.

By: Iosif Pinelis (Professor Department of Mathematical Sciences Michigan Technological University Houghton Michigan USA), Victor H. de la Peña (Professor, Department of Statistics, Columbia University, USA), Rustam Ibragimov (Professor of Finance and Econometrics, Imperial College Business School, UK), Adam Osȩkowski (Associate Professor, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Poland), Irina Shevtsova (Moscow State University and Institute of Informatics Problems, Federal Research Center “Computer Science and Control, Russian Academy of Sciences, Russia)
Imprint: Academic Press Inc
Country of Publication: United States
Dimensions: Height: 229mm, Width: 151mm,
Weight: 330g
ISBN: 9780128098189
ISBN 10: 012809818X
Pages: 198
Publication Date: 08 May 2017
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

1. Method of moments and sharp inequalities for martingales 2. On a class of optimal stopping problems of nonintegral type 3. On the absolute constants in Nagaev - Bikelis-type inequalities 4. On the nonuniform Berry - Esseen-type bound 5. On the Berry - Esseen bound for the Student statistic 6. Sharp probability inequalities for random polynomials, generalized sample cross-moments and studentized processes

Iosif Pinelis is Professor in the Department of Mathematical Sciences, Michigan Technological University, Houghton, Michigan, USA. Victor de la Peña is Professor at the Department of Statistics, Columbia University, USA. Rustam Ibragimov is Professor of Finance and Econometrics at Imperial College Business School, UK. Adam Osekowski is Associate Professor at the Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Poland. Irina Shevtsova is Associate Professor at Moscow State University, and Senior Researcher at the Institute of Informatics Problems of the Federal Research Center “Computer Science and Control of the Russian Academy of Sciences, Russia.

Reviews for Inequalities and Extremal Problems in Probability and Statistics: Selected Topics

This volume presents six articles on important inequalities in probability and statistics, and related extremal problems. These include uniform and non-uniform Berry-Esseen bounds and inequalities for martingales, random polynomials and generalized cross-moments. Each of these articles presents the state of the art in the relevant area, together with some new techniques, results or applications. --zbMATH Open