Inequalities and Extremal Problems in Probability and Statistics - 1st Edition - ISBN: 9780128098189, 9780128098929

Inequalities and Extremal Problems in Probability and Statistics

1st Edition

Selected Topics

Authors: Iosif Pinelis Victor de la Peña Rustam Ibragimov Adam Osȩkowski Irina Shevtsova
eBook ISBN: 9780128098929
Paperback ISBN: 9780128098189
Imprint: Academic Press
Published Date: 8th May 2017
Page Count: 198
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Description

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.

Key Features

  • Teaches users how to understand useful inequalities
  • Applicable across mathematics, sciences, and engineering
  • Presented by a team of leading experts

Readership

Researchers and graduate students in probability, statistics, and econometrics; specialists working in sciences, engineering, financial mathematics, insurance, and mathematical modeling of large risks

Table of Contents

1. Method of moments and sharp inequalities for martingales - Adam Osekowski
2. On a class of optimal stopping problems of nonintegral type - Adam Osekowski
3. On the absolute constants in Nagaev - Bikelis-type inequalities - Irina Shevtsova
4. On the nonuniform Berry - Esseen-type bound - Iosif Pinelis
5. On the Berry - Esseen bound for the Student statistic - Iosif Pinelis
6. Sharp probability inequalities for random polynomials, generalized sample cross-moments and studentized processes - Rustam Ibragimov and Victor H. de la Pena

Details

No. of pages:
198
Language:
English
Copyright:
© Academic Press 2017
Published:
Imprint:
Academic Press
eBook ISBN:
9780128098929
Paperback ISBN:
9780128098189

About the Author

Iosif Pinelis

Iosif Pinelis is Professor in the Department of Mathematical Sciences, Michigan Technological University, Houghton, Michigan, USA.

Affiliations and Expertise

Professor, Department of Mathematical Sciences, Michigan Technological University, Houghton, Michigan, USA

Victor de la Peña

Victor de la Peña is Professor at the Department of Statistics, Columbia University, USA.

Affiliations and Expertise

Professor, Department of Statistics, Columbia University, USA

Rustam Ibragimov

Rustam Ibragimov is Professor of Finance and Econometrics at Imperial College Business School, UK.

Affiliations and Expertise

Professor of Finance and Econometrics, Imperial College Business School, UK

Adam Osȩkowski

Adam Osekowski is Associate Professor at the Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Poland.

Affiliations and Expertise

Associate Professor, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Poland

Irina Shevtsova

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.

Affiliations and Expertise

Moscow State University and Institute of Informatics Problems, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Russia

Ratings and Reviews