Frontiers In Analysis And Probability

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Frontiers in Analysis and Probability

Nalini Anantharaman,Ashkan Nikeghbali,Michael Th. Rassias
Frontiers in Analysis and Probability Book PDF

Author : Nalini Anantharaman,Ashkan Nikeghbali,Michael Th. Rassias
Publisher : Springer Nature
Page : 449 pages
File Size : 42,8 Mb
Release : 2020-11-21
Category : Mathematics
ISBN : 9783030564094

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Frontiers in Analysis and Probability by Nalini Anantharaman,Ashkan Nikeghbali,Michael Th. Rassias Pdf

The volume presents extensive research devoted to a broad spectrum of mathematical analysis and probability theory. Subjects discussed in this Work are those treated in the so-called Strasbourg–Zürich Meetings. These meetings occur twice yearly in each of the cities, Strasbourg and Zürich, venues of vibrant mathematical communication and worldwide gatherings. The topical scope of the book includes the study of monochromatic random waves defined for general Riemannian manifolds, notions of entropy related to a compact manifold of negative curvature, interacting electrons in a random background, lp-cohomology (in degree one) of a graph and its connections with other topics, limit operators for circular ensembles, polyharmonic functions for finite graphs and Markov chains, the ETH-Approach to Quantum Mechanics, 2-dimensional quantum Yang–Mills theory, Gibbs measures of nonlinear Schrödinger equations, interfaces in spectral asymptotics and nodal sets. Contributions in this Work are composed by experts from the international community, who have presented the state-of-the-art research in the corresponding problems treated. This volume is expected to be a valuable resource to both graduate students and research mathematicians working in analysis, probability as well as their interconnections and applications.

Frontiers of Statistical Decision Making and Bayesian Analysis

Ming-Hui Chen,Peter Müller,Dongchu Sun,Keying Ye,Dipak K. Dey
Frontiers of Statistical Decision Making and Bayesian Analysis Book PDF

Author : Ming-Hui Chen,Peter Müller,Dongchu Sun,Keying Ye,Dipak K. Dey
Publisher : Springer Science & Business Media
Page : 631 pages
File Size : 53,9 Mb
Release : 2010-07-24
Category : Mathematics
ISBN : 9781441969446

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Frontiers of Statistical Decision Making and Bayesian Analysis by Ming-Hui Chen,Peter Müller,Dongchu Sun,Keying Ye,Dipak K. Dey Pdf

Research in Bayesian analysis and statistical decision theory is rapidly expanding and diversifying, making it increasingly more difficult for any single researcher to stay up to date on all current research frontiers. This book provides a review of current research challenges and opportunities. While the book can not exhaustively cover all current research areas, it does include some exemplary discussion of most research frontiers. Topics include objective Bayesian inference, shrinkage estimation and other decision based estimation, model selection and testing, nonparametric Bayes, the interface of Bayesian and frequentist inference, data mining and machine learning, methods for categorical and spatio-temporal data analysis and posterior simulation methods. Several major application areas are covered: computer models, Bayesian clinical trial design, epidemiology, phylogenetics, bioinformatics, climate modeling and applications in political science, finance and marketing. As a review of current research in Bayesian analysis the book presents a balance between theory and applications. The lack of a clear demarcation between theoretical and applied research is a reflection of the highly interdisciplinary and often applied nature of research in Bayesian statistics. The book is intended as an update for researchers in Bayesian statistics, including non-statisticians who make use of Bayesian inference to address substantive research questions in other fields. It would also be useful for graduate students and research scholars in statistics or biostatistics who wish to acquaint themselves with current research frontiers.

Statistical Analysis of Next Generation Sequencing Data

Somnath Datta,Dan Nettleton
Statistical Analysis of Next Generation Sequencing Data Book PDF

Author : Somnath Datta,Dan Nettleton
Publisher : Springer
Page : 432 pages
File Size : 42,8 Mb
Release : 2014-07-03
Category : Medical
ISBN : 9783319072128

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Statistical Analysis of Next Generation Sequencing Data by Somnath Datta,Dan Nettleton Pdf

Next Generation Sequencing (NGS) is the latest high throughput technology to revolutionize genomic research. NGS generates massive genomic datasets that play a key role in the big data phenomenon that surrounds us today. To extract signals from high-dimensional NGS data and make valid statistical inferences and predictions, novel data analytic and statistical techniques are needed. This book contains 20 chapters written by prominent statisticians working with NGS data. The topics range from basic preprocessing and analysis with NGS data to more complex genomic applications such as copy number variation and isoform expression detection. Research statisticians who want to learn about this growing and exciting area will find this book useful. In addition, many chapters from this book could be included in graduate-level classes in statistical bioinformatics for training future biostatisticians who will be expected to deal with genomic data in basic biomedical research, genomic clinical trials and personalized medicine. About the editors: Somnath Datta is Professor and Vice Chair of Bioinformatics and Biostatistics at the University of Louisville. He is Fellow of the American Statistical Association, Fellow of the Institute of Mathematical Statistics and Elected Member of the International Statistical Institute. He has contributed to numerous research areas in Statistics, Biostatistics and Bioinformatics. Dan Nettleton is Professor and Laurence H. Baker Endowed Chair of Biological Statistics in the Department of Statistics at Iowa State University. He is Fellow of the American Statistical Association and has published research on a variety of topics in statistics, biology and bioinformatics.

Frontiers in Probability and Statistics

Sujit K. Basu,Bimal K. Sinha
Frontiers in Probability and Statistics Book PDF

Author : Sujit K. Basu,Bimal K. Sinha
Publisher : Unknown
Page : 422 pages
File Size : 53,9 Mb
Release : 1998
Category : Mathematical statistics
ISBN : CORNELL:31924070123066

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Frontiers in Probability and Statistics by Sujit K. Basu,Bimal K. Sinha Pdf

This work looks at statistics and probablity, focusing on such topics as the use of linear statistical models, Bayesian analysis of variability and the uses of hierachical models

Frontiers in Stochastic Analysis–BSDEs, SPDEs and their Applications

Samuel N. Cohen,István Gyöngy,Gonҫalo dos Reis,David Siska,Łukasz Szpruch
Frontiers in Stochastic Analysis BSDEs SPDEs and their Applications Book PDF

Author : Samuel N. Cohen,István Gyöngy,Gonҫalo dos Reis,David Siska,Łukasz Szpruch
Publisher : Springer Nature
Page : 300 pages
File Size : 42,8 Mb
Release : 2019-08-31
Category : Mathematics
ISBN : 9783030222857

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Frontiers in Stochastic Analysis–BSDEs, SPDEs and their Applications by Samuel N. Cohen,István Gyöngy,Gonҫalo dos Reis,David Siska,Łukasz Szpruch Pdf

This collection of selected, revised and extended contributions resulted from a Workshop on BSDEs, SPDEs and their Applications that took place in Edinburgh, Scotland, July 2017 and included the 8th World Symposium on BSDEs. The volume addresses recent advances involving backward stochastic differential equations (BSDEs) and stochastic partial differential equations (SPDEs). These equations are of fundamental importance in modelling of biological, physical and economic systems, and underpin many problems in control of random systems, mathematical finance, stochastic filtering and data assimilation. The papers in this volume seek to understand these equations, and to use them to build our understanding in other areas of mathematics. This volume will be of interest to those working at the forefront of modern probability theory, both established researchers and graduate students.

Probability in Physics

Yemima Ben-Menahem,Meir Hemmo
Probability in Physics Book PDF

Author : Yemima Ben-Menahem,Meir Hemmo
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 50,7 Mb
Release : 2012-01-25
Category : Science
ISBN : 9783642213281

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Probability in Physics by Yemima Ben-Menahem,Meir Hemmo Pdf

What is the role and meaning of probability in physical theory, in particular in two of the most successful theories of our age, quantum physics and statistical mechanics? Laws once conceived as universal and deterministic, such as Newton‘s laws of motion, or the second law of thermodynamics, are replaced in these theories by inherently probabilistic laws. This collection of essays by some of the world‘s foremost experts presents an in-depth analysis of the meaning of probability in contemporary physics. Among the questions addressed are: How are probabilities defined? Are they objective or subjective? What is their explanatory value? What are the differences between quantum and classical probabilities? The result is an informative and thought-provoking book for the scientifically inquisitive.

Synthetic Biology 2020: Frontiers in Risk Analysis and Governance

Benjamin D. Trump,Christopher L. Cummings,Jennifer Kuzma,Igor Linkov
Synthetic Biology 2020 Frontiers in Risk Analysis and Governance Book PDF

Author : Benjamin D. Trump,Christopher L. Cummings,Jennifer Kuzma,Igor Linkov
Publisher : Springer Nature
Page : 421 pages
File Size : 41,6 Mb
Release : 2019-11-28
Category : Technology & Engineering
ISBN : 9783030272647

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Synthetic Biology 2020: Frontiers in Risk Analysis and Governance by Benjamin D. Trump,Christopher L. Cummings,Jennifer Kuzma,Igor Linkov Pdf

Synthetic biology offers powerful remedies for some of the world’s most intractable problems, but these solutions are clouded by uncertainty and risk that few strategies are available to address. The incentives for continued development of this emerging technology are prodigious and obvious, and the public deserves assurances that all potential downsides are duly considered and minimized accordingly. Incorporating social science analysis within the innovation process may impose constraints, but its simultaneous support in making the end products more acceptable to society at large should be considered a worthy trade-off. Contributing authors in this volume represent diverse perspectives related to synthetic biology’s social sciences, and reflect on different areas of risk analysis and governance that have developed for the field. Such perspectives include leading scholarly discussion pertaining to risk assessment, governance, ethics, and communication. The chapters of this volume note that while the first twenty years of synthetic biology development have focused strongly on technological innovation and product development, the next twenty should emphasize the synergy between developers, policymakers, and publics to generate the most beneficial, well governed, and transparent technologies and products possible. Many chapters in this volume provide new data and approaches that demonstrate the feasibility for multi-stakeholder efforts involving policymakers, regulators, industrial developers, workers, experts, and societal representatives to share responsibilities in the production of effective and acceptable governance in the face of uncertain risk probabilities. A full consideration of such perspectives may prevent a world of draconian regulations based on an insufficient or incomplete understanding of the science that underpins synthetic biology, as well as any hesitancy or fear by the public to adopt its eventual products.

Mathematical Frontiers Of The Social And Policy Sciences

Loren Cobb
Mathematical Frontiers Of The Social And Policy Sciences Book PDF

Author : Loren Cobb
Publisher : Routledge
Page : 202 pages
File Size : 46,9 Mb
Release : 2019-03-13
Category : Political Science
ISBN : 9780429728556

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Mathematical Frontiers Of The Social And Policy Sciences by Loren Cobb Pdf

This book focuses both on the application of recent developments in mathematics to the formulation of nontrivial theory in the social sciences and on the expansion of the mathematical basis of decision theory to increase that theory's usefulness for policy research.

Efficiency Analysis by Production Frontiers

Jati Sengupta
Efficiency Analysis by Production Frontiers Book PDF

Author : Jati Sengupta
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 47,9 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9789400926455

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Efficiency Analysis by Production Frontiers by Jati Sengupta Pdf

Measuring productive efficiency for nonprofit organizations has posed a great challenge to applied researchers today. The problem has many facets and diverse implications for a number of disciplines such as economics, applied statistics, management science and information theory. This monograph discusses four major areas, which emphasize the applied economic and econometric as. pects of the production frontier analysis: A. Stochastic frontier theory, B. Data envelopment analysis, C. Clustering and estimation theory, D. Economic and managerial applications Besides containing an up-to-date survey of the mos. t recent developments in the field, the monograph presents several new results and theorems from my own research. These include but are not limited to the following: (1) interface with parametric theory, (2) minimax and robust concepts of production frontier, (3) game-theoretic extension of the Farrell and Johansen models, (4) optimal clustering techniques for data envelopment analysis and (5) the dynamic and stochastic generalizations of the efficiency frontier at the micro and macro levels. In my research work in this field I have received great support and inspiration from Professor Abraham Charnes of the University of Texas at Austin, who has basically founded the technique of data envelopment analysis, developed it and is still expanding it. My interactions with him have been most fruitful and productive. I am deeply grateful to him. Finally, I must record my deep appreciation to my wife and two children for their loving and enduring support. But for their support this work would not have been completed.

Probability and Statistical Theory for Applied Researchers

T W Epps
Probability and Statistical Theory for Applied Researchers Book PDF

Author : T W Epps
Publisher : World Scientific Publishing Company
Page : 828 pages
File Size : 50,8 Mb
Release : 2013-08-16
Category : Mathematics
ISBN : 9789814513173

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Probability and Statistical Theory for Applied Researchers by T W Epps Pdf

This book presents the theory of probability and mathematical statistics at a level suitable for researchers at the frontiers of applied disciplines. Examples and exercises make essential concepts in measure theory and analysis accessible to those with preparation limited to vector calculus. Complete, detailed solutions to all the exercises demonstrate techniques of problem solving and provide immediate feedback. Part I, The Theory of Probability, starts with elementary set theory and proceeds through basic measure and probability, random variables, integration and mathematical expectation. It concludes with an extensive survey of models for distributions of random variables. Part II, The Theory of Statistics, begins with sampling theory and distribution theory for statistics from normal populations, proceeds to asymptotic (large-sample) theory, and on to point and interval estimation and tests of parametric hypotheses. The last three chapters cover tests of nonparametric hypotheses, Bayesian methods, and linear and nonlinear regression. Researchers and graduate students in applied fields such as actuarial science, biostatistics, economics, finance, mathematical psychology, and systems engineering will find this book to be a valuable learning tool and an essential reference. Sample Chapter(s) Chapter 1: Probability on Abstract Sets (476 KB) Chapter 5: Sampling Distributions (405 KB) Request Inspection Copy

Frontiers in Statistical Quality Control 9

Hans-Joachim Lenz,Peter-Theodor Wilrich,Wolfgang Schmid
Frontiers in Statistical Quality Control 9 Book PDF

Author : Hans-Joachim Lenz,Peter-Theodor Wilrich,Wolfgang Schmid
Publisher : Springer Science & Business Media
Page : 367 pages
File Size : 44,8 Mb
Release : 2010-03-10
Category : Mathematics
ISBN : 9783790823806

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Frontiers in Statistical Quality Control 9 by Hans-Joachim Lenz,Peter-Theodor Wilrich,Wolfgang Schmid Pdf

The twenty-three papers in this volume are carefully selected, reviewed and revised for this volume, and are divided into two parts: Part 1: "On-line Control" with subchapters 1.1 "Control Charts" and 1.2 "Surveillance Sampling and Sampling Plans" and Part 2:"Off-line Control".

Frontiers of Fractal Analysis

Santo Banerjee,A. Gowrisankar
Frontiers of Fractal Analysis Book PDF

Author : Santo Banerjee,A. Gowrisankar
Publisher : CRC Press
Page : 182 pages
File Size : 54,9 Mb
Release : 2022-07-07
Category : Mathematics
ISBN : 9781000625875

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Frontiers of Fractal Analysis by Santo Banerjee,A. Gowrisankar Pdf

The history of describing natural objects using geometry is as old as the advent of science itself, in which traditional shapes are the basis of our intuitive understanding of geometry. However, nature is not restricted to such Euclidean objects which are only characterized typically by integer dimensions. Hence, the conventional geometric approach cannot meet the requirements of solving or analysing nonlinear problems which are related with natural phenomena, therefore, the fractal theory has been born, which aims to understand complexity and provide an innovative way to recognize irregularity and complex systems. Although the concepts of fractal geometry have found wide applications in many forefront areas of science, engineering and societal issues, they also have interesting implications of a more practical nature for the older classical areas of science. Since its discovery, there has been a surge of research activities in using this powerful concept in almost every branch of scientific disciplines to gain deep insights into many unresolved problems. This book includes eight chapters which focus on gathering cutting-edge research and proposing application of fractals features in both traditional scientific disciplines and in applied fields.

Frontiers in Stochastic Analysis-BSDEs, SPDEs and Their Applications

Samuel N. Cohen,István Gyöngy,David Siska,Łukasz Szpruch
Frontiers in Stochastic Analysis BSDEs SPDEs and Their Applications Book PDF

Author : Samuel N. Cohen,István Gyöngy,David Siska,Łukasz Szpruch
Publisher : Unknown
Page : 300 pages
File Size : 55,6 Mb
Release : 2019
Category : Computer science
ISBN : 3030222861

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Frontiers in Stochastic Analysis-BSDEs, SPDEs and Their Applications by Samuel N. Cohen,István Gyöngy,David Siska,Łukasz Szpruch Pdf

This collection of selected, revised and extended contributions resulted from a Workshop on BSDEs, SPDEs and their Applications that took place in Edinburgh, Scotland, July 2017 and included the 8th World Symposium on BSDEs. The volume addresses recent advances involving backward stochastic differential equations (BSDEs) and stochastic partial differential equations (SPDEs). These equations are of fundamental importance in modelling of biological, physical and economic systems, and underpin many problems in control of random systems, mathematical finance, stochastic filtering and data assimilation. The papers in this volume seek to understand these equations, and to use them to build our understanding in other areas of mathematics. This volume will be of interest to those working at the forefront of modern probability theory, both established researchers and graduate students.

Frontiers in Statistics

Jianqing Fan,Hira L Koul
Frontiers in Statistics Book PDF

Author : Jianqing Fan,Hira L Koul
Publisher : World Scientific
Page : 552 pages
File Size : 54,7 Mb
Release : 2006-07-17
Category : Computers
ISBN : 9781908979766

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Frontiers in Statistics by Jianqing Fan,Hira L Koul Pdf

During the last two decades, many areas of statistical inference have experienced phenomenal growth. This book presents a timely analysis and overview of some of these new developments and a contemporary outlook on the various frontiers of statistics. Eminent leaders in the field have contributed 16 review articles and 6 research articles covering areas including semi-parametric models, data analytical nonparametric methods, statistical learning, network tomography, longitudinal data analysis, financial econometrics, time series, bootstrap and other re-sampling methodologies, statistical computing, generalized nonlinear regression and mixed effects models, martingale transform tests for model diagnostics, robust multivariate analysis, single index models and wavelets. This volume is dedicated to Prof. Peter J Bickel in honor of his 65th birthday. The first article of this volume summarizes some of Prof. Bickel's distinguished contributions. Contents:Our Steps on the Bickel Way (K Doksum & Y Ritov)Semiparametric Models: A Review of Progress since BKRW (1993) (J A Wellner et al.)Efficient Estimator for Time Series (A Schick & W Wefelmeyer)On the Efficiency of Estimation for a Single-Index Model (Y Xia & H Tong)Estimating Function Based Cross-Validation (M J Van der Laan & D Rubin)Powerful Choices: Tuning Parameter Selection Based on Power (K Doksum & C Schafer)Nonparametric Assessment of Atypicality (P Hall & J W Kay)Selective Review on Wavelets in Statistics (Y Wang)Model Diagnostics via Martingale Transforms: A Brief Review (H L Koul)Boosting Algorithms: With an Application to Bootstrapping Multivariate Time Series (P Bühlmann & R W Lutz)Bootstrap Methods: A Review (S N Lahiri)An Expansion for a Discrete Non-Lattice Distribution (F Götze & W R van Zwet)An Overview on Nonparametric and Semiparametric Techniques for Longitudinal Data (J Fan & R Li)Regressing Longitudinal Response Trajectories on a Covariate (H-G Müller & F Yao)Statistical Physics and Statistical Computing: A Critical Link (J D Servidea & X-L Meng)Network Tomography: A Review and Recent Developments (E Lawrence et al.)Likelihood Inference for Diffusions: A Survey (Y Aït-Sahalia)Nonparametric Estimation of Production Efficiency (B U Park et al.)Convergence and Consistency of Newton's Algorithm for Estimating Mixing Distribution (J K Ghosh & S T Tokdar)Mixed Models: An Overview (J Jiang & Z Ge)Robust Location and Scatter Estimators in Multivariate Analysis (Y Zuo)Estimation of the Loss of an Estimate (W H Wong) Readership: Advanced graduate students and researchers in statistics. Keywords:Semiparametrics;Financial Econometrics;Longitudinal Data;Efficient Estimation;Single Index;Atypicality;Martingale Transforms;Boosting;Non-Lattice Distributions;Longitudinal Data;Network Tomography;Mixed ModelsKey Features:Gathers contributions from renowned researchers such as Kjell Doksum and Peter HallA must-have volume for researchers in statistics

Frontiers of Statistical Decision Making and Bayesian Analysis

Ming-Hui Chen,Peter Müller,Dongchu Sun,Keying Ye,Dipak Dey
Frontiers of Statistical Decision Making and Bayesian Analysis Book PDF

Author : Ming-Hui Chen,Peter Müller,Dongchu Sun,Keying Ye,Dipak Dey
Publisher : Springer
Page : 631 pages
File Size : 43,7 Mb
Release : 2010-08-05
Category : Mathematics
ISBN : 1441969454

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Frontiers of Statistical Decision Making and Bayesian Analysis by Ming-Hui Chen,Peter Müller,Dongchu Sun,Keying Ye,Dipak Dey Pdf

Research in Bayesian analysis and statistical decision theory is rapidly expanding and diversifying, making it increasingly more difficult for any single researcher to stay up to date on all current research frontiers. This book provides a review of current research challenges and opportunities. While the book can not exhaustively cover all current research areas, it does include some exemplary discussion of most research frontiers. Topics include objective Bayesian inference, shrinkage estimation and other decision based estimation, model selection and testing, nonparametric Bayes, the interface of Bayesian and frequentist inference, data mining and machine learning, methods for categorical and spatio-temporal data analysis and posterior simulation methods. Several major application areas are covered: computer models, Bayesian clinical trial design, epidemiology, phylogenetics, bioinformatics, climate modeling and applications in political science, finance and marketing. As a review of current research in Bayesian analysis the book presents a balance between theory and applications. The lack of a clear demarcation between theoretical and applied research is a reflection of the highly interdisciplinary and often applied nature of research in Bayesian statistics. The book is intended as an update for researchers in Bayesian statistics, including non-statisticians who make use of Bayesian inference to address substantive research questions in other fields. It would also be useful for graduate students and research scholars in statistics or biostatistics who wish to acquaint themselves with current research frontiers.