Zhengyan Lin: Probability Inequalities

Cover: 9783642437779 | Probability Inequalities | Zhengyan Lin (u. a.) | Taschenbuch | vii

Rückseite: 9783642437779 | Probability Inequalities | Zhengyan Lin (u. a.) | Taschenbuch | vii

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Beschreibung

Inequality has become an essential tool in many areas of mathematical research, for example in probability and statistics where it is frequently used in the proofs. "Probability Inequalities" covers inequalities related with events, distribution functions, characteristic functions, moments and random variables (elements) and their sum. The book shall serve as a useful tool and reference for scientists in the areas of probability and statistics, and applied mathematics.

Prof. Zhengyan Lin is a fellow of the Institute of Mathematical Statistics and currently a professor at Zhejiang University, Hangzhou, China. He is the prize winner of National Natural Science Award of China in 1997. Prof. Zhidong Bai is a fellow of TWAS and the Institute of Mathematical Statistics; he is a professor at the National University of Singapore and Northeast Normal University, Changchun, China.

Zusammenfassung

First book available on commonly used probability inequalities

Aggregation of most basic inequalities in this area with some proofs and references listed after

All inequalities sorted to facilitate readers in finding what they need easily and quickly

Inhaltsverzeichnis

Elementary Inequalities of Probabilities of Events.- Inequalities Related to Commonly Used Distributions.- Inequalities Related to Characteristic Functions.- Estimates of the Difference of Two Distribution Functions.- Probability Inequalities of Random Variables.- Bounds of Probabilities in Terms of Moments.- Exponential Type Estimates of Probabilities.- Moment Inequalities Related to One or Two Variables.- Moment Estimates of (Maximum of) Sums of Random Variables.- Inequalities Related to Mixing Sequences.- Inequalities Related to Associative Variables.- Inequalities about Stochastic Processes and Banach Space Valued Random Variables.

Details

Erscheinungsjahr:	2014
Fachbereich:	Wahrscheinlichkeitstheorie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	vii 181 S.
ISBN-13:	9783642437779
ISBN-10:	364243777X
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Lin, Zhengyan Bai, Zhidong
Hersteller:	Springer
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 11 mm
Von/Mit:	Zhengyan Lin (u. a.)
Erscheinungsdatum:	09.12.2014
Gewicht:	0,3 kg