Probability Inequalities

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...

Full description

Bibliographic Details
Main Authors: Lin, Zhengyan, Bai, Zhidong (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2011, 2011
Edition:1st ed. 2011
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
LEADER 02470nmm a2200289 u 4500
001 EB000383416
003 EBX01000000000000000236468
005 00000000000000.0
007 cr|||||||||||||||||||||
008 130626 ||| eng
020 |a 9783642052613 
100 1 |a Lin, Zhengyan 
245 0 0 |a Probability Inequalities  |h Elektronische Ressource  |c by Zhengyan Lin, Zhidong Bai 
250 |a 1st ed. 2011 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 2011, 2011 
300 |a VII, 181 p  |b online resource 
505 0 |a 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 
653 |a Statistical Theory and Methods 
653 |a Statistics  
653 |a Probability Theory and Stochastic Processes 
653 |a Probabilities 
700 1 |a Bai, Zhidong  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b Springer  |a Springer eBooks 2005- 
856 4 0 |u https://doi.org/10.1007/978-3-642-05261-3?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 519.2 
520 |a 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