Pranab Kumar Sen's Books

Methodology in Robust and Nonparametric Statistics

By: Jana Jurečková,Pranab Kumar Sen,Jan Picek

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Methodology in Robust and Nonparametric Statistics

By: Jana Jurečková,Pranab Kumar Sen,Jan Picek

Robust and nonparametric statistical methods have their foundation in fields ranging from agricultural science to astronomy, from biomedical sciences to the public health disciplines, and, more recently, in genomics, bioinformatics, and financial statistics. These disciplines are presently nourished by data mining and high-level computer-based algorithms, but to work actively with robust and nonparametric procedures, practitioners need to understand their background. Explaining the underpinnings of robust methods and recent theoretical developments, Methodology in Robust and Nonparametric Statistics provides a profound mathematically rigorous explanation of the methodology of robust and nonparametric statistical procedures. Thoroughly up-to-date, this book Presents multivariate robust and nonparametric estimation with special emphasis on affine-equivariant procedures, followed by hypotheses testing and confidence sets Keeps mathematical abstractions at bay while remaining largely theoretical Provides a pool of basic mathematical tools used throughout the book in derivations of main results The methodology presented, with due emphasis on asymptotics and interrelations, will pave the way for further developments on robust statistical procedures in more complex models. Using examples to illustrate the methods, the text highlights applications in the fields of biomedical science, bioinformatics, finance, and engineering. In addition, the authors provide exercises in the text.

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Page Count

411

Publisher

CRC Press

Published Date

ISBN 10

1439840687

ISBN 13

9781439840689

Theory and Applications of Sequential Nonparametrics

By: Pranab Kumar Sen

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Theory and Applications of Sequential Nonparametrics

By: Pranab Kumar Sen

A study of sequential nonparametric methods emphasizing the unified Martingale approach to the theory, with a detailed explanation of major applications including problems arising in clinical trials, life-testing experimentation, survival analysis, classical sequential analysis and other areas of applied statistics and biostatistics.

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Page Count

106

Publisher

SIAM

Published Date

ISBN 10

1611970210

ISBN 13

9781611970210

Sequential Estimation

By: Malay Ghosh,Nitis Mukhopadhyay,Pranab Kumar Sen

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Sequential Estimation

By: Malay Ghosh,Nitis Mukhopadhyay,Pranab Kumar Sen

The only comprehensive guide to the theory and practice of one oftoday's most important probabilistic techniques The past 15 years have witnessed many significant advances insequential estimation, especially in the areas of three-stage andnonparametric methodology. Yet, until now, there were no referencesdevoted exclusively to this rapidly growing statisticalfield. Sequential Estimation is the first, single-source guide to thetheory and practice of both classical and modern sequentialestimation techniques--including parametric and nonparametricmethods. Researchers in sequential analysis will appreciate theunified, logically integrated treatment of the subject, as well ascoverage of important contemporary procedures not covered in moregeneral sequential analysis texts, such as: * Shrinkage estimation * Empirical and hierarchical Bayes procedures * Multistage sampling and accelerated sampling procedures * Time-sequential estimation * Sequential estimation in finite population sampling * Reliability estimation and capture-recapture methodologiesleading to sequential tagging schemes An indispensable resource for researchers in sequential analysis,Sequential Estimation is an ideal graduate-level text as well.

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Page Count

504

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118165918

ISBN 13

9781118165911

Constrained Statistical Inference

Order, Inequality, and Shape Constraints

By: Mervyn J. Silvapulle,Pranab Kumar Sen

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Constrained Statistical Inference

Order, Inequality, and Shape Constraints

By: Mervyn J. Silvapulle,Pranab Kumar Sen

An up-to-date approach to understanding statistical inference Statistical inference is finding useful applications in numerous fields, from sociology and econometrics to biostatistics. This volume enables professionals in these and related fields to master the concepts of statistical inference under inequality constraints and to apply the theory to problems in a variety of areas. Constrained Statistical Inference: Order, Inequality, and Shape Constraints provides a unified and up-to-date treatment of the methodology. It clearly illustrates concepts with practical examples from a variety of fields, focusing on sociology, econometrics, and biostatistics. The authors also discuss a broad range of other inequality-constrained inference problems that do not fit well in the contemplated unified framework, providing a meaningful way for readers to comprehend methodological resolutions. Chapter coverage includes: Population means and isotonic regression Inequality-constrained tests on normal means Tests in general parametric models Likelihood and alternatives Analysis of categorical data Inference on monotone density function, unimodal density function, shape constraints, and DMRL functions Bayesian perspectives, including Stein’s Paradox, shrinkage estimation, and decision theory

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Page Count

560

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118165632

ISBN 13

9781118165638

Robust Statistical Procedures

Asymptotics and Interrelations

By: Jana Jurecková,Pranab Kumar Sen

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Robust Statistical Procedures

Asymptotics and Interrelations

By: Jana Jurecková,Pranab Kumar Sen

A broad and unified methodology for robust statistics—with exciting new applications Robust statistics is one of the fastest growing fields in contemporary statistics. It is also one of the more diverse and sometimes confounding areas, given the many different assessments and interpretations of robustness by theoretical and applied statisticians. This innovative book unifies the many varied, yet related, concepts of robust statistics under a sound theoretical modulation. It seamlessly integrates asymptotics and interrelations, and provides statisticians with an effective system for dealing with the interrelations between the various classes of procedures. Drawing on the expertise of researchers from around the world, and covering over a decade's worth of developments in the field, Robust Statistical Procedures: Asymptotics and Interrelations: Discusses both theory and applications in its two parts, from the fundamentals to robust statistical inference Thoroughly explores the interrelations between diverse classes of procedures, unlike any other book Compares nonparametric procedures with robust statistics, explaining in detail asymptotic representations for various estimators Provides a timesaving list of mathematical tools for the problems under discussion Keeps mathematical abstractions to a minimum, in spite of its largely theoretical content Includes useful problems and exercises at the end of each chapter Offers strategies for more complex models when using robust statistical procedures Self-contained and rounded in approach, this book is invaluable for both applied statisticians and theoretical researchers; for graduate students in mathematical statistics; and for anyone interested in the influence of this methodology.

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Page Count

496

Publisher

John Wiley & Sons

Published Date

ISBN 10

0471822213

ISBN 13

9780471822219

Theory and Applications of Sequential Nonparametrics

By: Pranab Kumar Sen

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Theory and Applications of Sequential Nonparametrics

By: Pranab Kumar Sen

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Page Count

106

Publisher

SIAM

Published Date

ISBN 10

0898710510

ISBN 13

9780898710519

Large Sample Methods in Statistics

An Introduction with Applications

By: Pranab K. Sen,Julio M. Singer

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Large Sample Methods in Statistics

An Introduction with Applications

By: Pranab K. Sen,Julio M. Singer

This text bridges the gap between sound theoretcial developments and practical, fruitful methodology by providing solid justification for standard symptotic statistical methods. It contains a unified survey of standard large sample theory and provides access to more complex statistical models that arise in diverse practical applications.

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Page Count

400

Publisher

CRC Press

Published Date

ISBN 10

0412042215

ISBN 13

9780412042218

Pitman's Measure of Closeness

A Comparison of Statistical Estimators

By: Jerome P. Keating,Robert L. Mason,Pranab K. Sen

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Pitman's Measure of Closeness

A Comparison of Statistical Estimators

By: Jerome P. Keating,Robert L. Mason,Pranab K. Sen

This book provides a thorough introduction to the methods and known results associated with PMC.

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Page Count

241

Publisher

SIAM

Published Date

ISBN 10

1611971578

ISBN 13

9781611971576

Book's by Pranab Kumar Sen

Methodology in Robust and Nonparametric Statistics

Methodology in Robust and Nonparametric Statistics

Theory and Applications of Sequential Nonparametrics

Theory and Applications of Sequential Nonparametrics

Sequential Estimation

Sequential Estimation

Constrained Statistical Inference

Constrained Statistical Inference

Robust Statistical Procedures

Robust Statistical Procedures

Theory and Applications of Sequential Nonparametrics

Theory and Applications of Sequential Nonparametrics

Large Sample Methods in Statistics

Large Sample Methods in Statistics

Pitman's Measure of Closeness

Pitman's Measure of Closeness

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