Inequalities and Extremal Problems in Probability and Statistics

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  • Publisher : Academic Press
  • Release : 10 May 2017
  • ISBN : 9780128098929
  • Page : 198 pages
  • Rating : 4.5/5 from 103 voters

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

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Inequalities and Extremal Problems in Probability and Statistics

Inequalities and Extremal Problems in Probability and Statistics
  • Author : Iosif Pinelis,Victor H. de la Peña,Rustam Ibragimov,Adam Osȩkowski,Irina Shevtsova
  • Publisher : Academic Press
  • Release Date : 2017-05-10
  • ISBN : 9780128098929
GET THIS BOOKInequalities and Extremal Problems in Probability and Statistics

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

Analysis of Step-Stress Models

Analysis of Step-Stress Models
  • Author : Debasis Kundu,Ayon Ganguly
  • Publisher : Academic Press
  • Release Date : 2017-06-29
  • ISBN : 9780081012406
GET THIS BOOKAnalysis of Step-Stress Models

Analysis of Step-Stress Models: Existing Results and Some Recent Developments describes, in detail, the step-stress models and related topics that have received significant attention in the last few years. Although two books, Bagdonavicius and Nikulin (2001) and Nelson (1990), on general accelerated life testing models are available, no specific book is available on step-stress models. Due to the importance of this particular topic, Balakrishnan (2009) provided an excellent review for exponential step-stress models. The scope of this book is much more, providing the

Contributions to Probability and Statistics

Contributions to Probability and Statistics
  • Author : Leon J. Gleser,Michael D. Perlman,S. James Press,Allan R. Sampson
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • ISBN : 9781461236788
GET THIS BOOKContributions to Probability and Statistics

Published in honor of the sixty-fifth birthday of Professor Ingram Olkin of Stanford University. Part I contains a brief biography of Professor Olkin and an interview with him discussing his career and his research interests. Part II contains 32 technical papers written in Professor Olkin's honor by his collaborators, colleagues, and Ph.D. students. These original papers cover a wealth of topics in mathematical and applied statistics, including probability inequalities and characterizations, multivariate analysis and association, linear and nonlinear models, ranking

Decoupling

Decoupling
  • Author : Victor de la Peña,Evarist Giné
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • ISBN : 9781461205371
GET THIS BOOKDecoupling

A friendly and systematic introduction to the theory and applications. The book begins with the sums of independent random variables and vectors, with maximal inequalities and sharp estimates on moments, which are later used to develop and interpret decoupling inequalities. Decoupling is first introduced as it applies to randomly stopped processes and unbiased estimation. The authors then proceed with the theory of decoupling in full generality, paying special attention to comparison and interplay between martingale and decoupling theory, and to

Stochastic Inequalities

Stochastic Inequalities
  • Author : Moshe Shaked
  • Publisher : IMS
  • Release Date : 1992
  • ISBN : 0940600293
GET THIS BOOKStochastic Inequalities

High Dimensional Probability

High Dimensional Probability
  • Author : Ernst Eberlein,Marjorie Hahn
  • Publisher : Birkhäuser
  • Release Date : 2012-12-06
  • ISBN : 9783034888295
GET THIS BOOKHigh Dimensional Probability

What is high dimensional probability? Under this broad name we collect topics with a common philosophy, where the idea of high dimension plays a key role, either in the problem or in the methods by which it is approached. Let us give a specific example that can be immediately understood, that of Gaussian processes. Roughly speaking, before 1970, the Gaussian processes that were studied were indexed by a subset of Euclidean space, mostly with dimension at most three. Assuming some regularity

Concentration Inequalities

Concentration Inequalities
  • Author : Stéphane Boucheron,Gábor Lugosi,Pascal Massart
  • Publisher : OUP Oxford
  • Release Date : 2013-02-08
  • ISBN : 9780191655500
GET THIS BOOKConcentration Inequalities

Concentration inequalities for functions of independent random variables is an area of probability theory that has witnessed a great revolution in the last few decades, and has applications in a wide variety of areas such as machine learning, statistics, discrete mathematics, and high-dimensional geometry. Roughly speaking, if a function of many independent random variables does not depend too much on any of the variables then it is concentrated in the sense that with high probability, it is close to its

Banach Spaces and their Applications in Analysis

Banach Spaces and their Applications in Analysis
  • Author : Beata Randrianantoanina,Narcisse Randrianantoanina
  • Publisher : Walter de Gruyter
  • Release Date : 2007-01-01
  • ISBN : 9783110918298
GET THIS BOOKBanach Spaces and their Applications in Analysis

This volume contains contributions of principal speakers of a conference on Banach Spaces and their applications in analysis, held in May 2006 at Miami, Ohio, in honor of Nigel Kalton's 60th birthday. Its merit lies in the fact that it aims to encompass applications of Banach space methods in different areas of analysis, emphasizing versatility of the methods and underlying connections between seemingly distant areas of analysis.

High Dimensional Probability II

High Dimensional Probability II
  • Author : Evarist Giné,David M. Mason,Jon A. Wellner
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • ISBN : 9781461213581
GET THIS BOOKHigh Dimensional Probability II

High dimensional probability, in the sense that encompasses the topics rep resented in this volume, began about thirty years ago with research in two related areas: limit theorems for sums of independent Banach space valued random vectors and general Gaussian processes. An important feature in these past research studies has been the fact that they highlighted the es sential probabilistic nature of the problems considered. In part, this was because, by working on a general Banach space, one had to

Journal of Research of the National Bureau of Standards

Journal of Research of the National Bureau of Standards
  • Author : United States. National Bureau of Standards
  • Publisher : Unknown
  • Release Date : 1961
  • ISBN : PSU:000067367245
GET THIS BOOKJournal of Research of the National Bureau of Standards

Moments in Mathematics

Moments in Mathematics
  • Author : Henry J. Landau
  • Publisher : American Mathematical Soc.
  • Release Date : 1987
  • ISBN : 0821801147
GET THIS BOOKMoments in Mathematics

Function theory, spectral decomposition of operators, probability, approximation, electrical and mechanical inverse problems, prediction of stochastic processes, the design of algorithms for signal-processing VLSI chips--these are among a host of important theoretical and applied topics illuminated by the classical moment problem. To survey some of these ramifications and the research which derives from them, the AMS sponsored the Short Course Moments in Mathematics at the Joint Mathematics Meetings, held in San Antonio, Texas, in January 1987. This volume contains the six

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics
  • Author : Michiel Hazewinkel
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • ISBN : 9789401512886
GET THIS BOOKEncyclopaedia of Mathematics

This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.

High Dimensional Probability VI

High Dimensional Probability VI
  • Author : Christian Houdré,David M. Mason,Jan Rosiński,Jon A. Wellner
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-04-19
  • ISBN : 9783034804905
GET THIS BOOKHigh Dimensional Probability VI

This is a collection of papers by participants at High Dimensional Probability VI Meeting held from October 9-14, 2011 at the Banff International Research Station in Banff, Alberta, Canada. High Dimensional Probability (HDP) is an area of mathematics that includes the study of probability distributions and limit theorems in infinite-dimensional spaces such as Hilbert spaces and Banach spaces. The most remarkable feature of this area is that it has resulted in the creation of powerful new tools and perspectives, whose range

Numbers, Information and Complexity

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  • Author : Ingo Althöfer,Ning Cai,Gunter Dueck,Levon H. Khachatrian,Marcus Pinsker,G. Sarkozy,Ingo Wegener,Zhen Zhang
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-04-17
  • ISBN : 9781475760484
GET THIS BOOKNumbers, Information and Complexity

Numbers, Information and Complexity is a collection of about 50 articles in honour of Rudolf Ahlswede. His main areas of research are represented in the three sections, `Numbers and Combinations', `Information Theory (Channels and Networks, Combinatorial and Algebraic Coding, Cryptology, with the related fields Data Compression, Entropy Theory, Symbolic Dynamics, Probability and Statistics)', and `Complexity'. Special attention was paid to the interplay between the fields. Surveys on topics of current interest are included as well as new research results. The

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  • Author : Adam Osękowski
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-08-14
  • ISBN : 9783034803700
GET THIS BOOKSharp Martingale and Semimartingale Inequalities

This monograph is a presentation of a unified approach to a certain class of semimartingale inequalities, which can be regarded as probabilistic extensions of classical estimates for conjugate harmonic functions on the unit disc. The approach, which has its roots in the seminal works of Burkholder in the 80s, enables to deduce a given inequality for semimartingales from the existence of a certain special function with some convex-type properties. Remarkably, an appropriate application of the method leads to the sharp