Fundamentals of Mathematical Statistics

Fundamentals of Mathematical Statistics

Author: S.C. Gupta

Publisher: Sultan Chand & Sons

Published: 2020-09-10

Total Pages: 22

ISBN-13: 9351611736

DOWNLOAD EBOOK

Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Some prominent additions are given below: 1. Variance of Degenerate Random Variable 2. Approximate Expression for Expectation and Variance 3. Lyapounov’s Inequality 4. Holder’s Inequality 5. Minkowski’s Inequality 6. Double Expectation Rule or Double-E Rule and many others


Book Synopsis Fundamentals of Mathematical Statistics by : S.C. Gupta

Download or read book Fundamentals of Mathematical Statistics written by S.C. Gupta and published by Sultan Chand & Sons. This book was released on 2020-09-10 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Knowledge updating is a never-ending process and so should be the revision of an effective textbook. The book originally written fifty years ago has, during the intervening period, been revised and reprinted several times. The authors have, however, been thinking, for the last few years that the book needed not only a thorough revision but rather a substantial rewriting. They now take great pleasure in presenting to the readers the twelfth, thoroughly revised and enlarged, Golden Jubilee edition of the book. The subject-matter in the entire book has been re-written in the light of numerous criticisms and suggestions received from the users of the earlier editions in India and abroad. The basis of this revision has been the emergence of new literature on the subject, the constructive feedback from students and teaching fraternity, as well as those changes that have been made in the syllabi and/or the pattern of examination papers of numerous universities. Some prominent additions are given below: 1. Variance of Degenerate Random Variable 2. Approximate Expression for Expectation and Variance 3. Lyapounov’s Inequality 4. Holder’s Inequality 5. Minkowski’s Inequality 6. Double Expectation Rule or Double-E Rule and many others

Fundamentals of Applied Statistics

Fundamentals of Applied Statistics

Author: S. C. Gupta

Publisher:

Published: 2007

Total Pages:

ISBN-13: 9788180547058

DOWNLOAD EBOOK


Book Synopsis Fundamentals of Applied Statistics by : S. C. Gupta

Download or read book Fundamentals of Applied Statistics written by S. C. Gupta and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamentals of Applied Statistics and Surveys

Fundamentals of Applied Statistics and Surveys

Author: David .B. Orr

Publisher: CRC Press

Published: 1995-04-01

Total Pages: 374

ISBN-13: 9780412988219

DOWNLOAD EBOOK

As the world becomes increasingly complex, that complexity tends to be reflected in statistical approaches to things that comprise our everyday experiences. Many people now find that understanding statistics is a skill they need to succeed in the many disciplines and occupations that rely on data and numerical information. While they may not need computational skills, rigorous mathematics, or the ability to actually design studies themselves, they do need some background in the concepts essential to understanding and intelligently applying common statistical procedures and ideas. Fundamentals of Applied Statistics and Surveys provides that background. Heavily focused on conceptual content, its approach is discursive rather than computational. The author emphasizes the more easily understandable, and more generally useful, techniques most frequently encountered by those in careers other than statistics. Aimed at users of statistical information, rather than producers of it, Fundamentals of Applied Statistics and Surveys provides an accessible treatment of basic concepts and methods without involving the reader in extensive mathematics or complicated computations.


Book Synopsis Fundamentals of Applied Statistics and Surveys by : David .B. Orr

Download or read book Fundamentals of Applied Statistics and Surveys written by David .B. Orr and published by CRC Press. This book was released on 1995-04-01 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the world becomes increasingly complex, that complexity tends to be reflected in statistical approaches to things that comprise our everyday experiences. Many people now find that understanding statistics is a skill they need to succeed in the many disciplines and occupations that rely on data and numerical information. While they may not need computational skills, rigorous mathematics, or the ability to actually design studies themselves, they do need some background in the concepts essential to understanding and intelligently applying common statistical procedures and ideas. Fundamentals of Applied Statistics and Surveys provides that background. Heavily focused on conceptual content, its approach is discursive rather than computational. The author emphasizes the more easily understandable, and more generally useful, techniques most frequently encountered by those in careers other than statistics. Aimed at users of statistical information, rather than producers of it, Fundamentals of Applied Statistics and Surveys provides an accessible treatment of basic concepts and methods without involving the reader in extensive mathematics or complicated computations.

Foundations and Applications of Statistics

Foundations and Applications of Statistics

Author: Randall Pruim

Publisher: American Mathematical Soc.

Published: 2018-04-04

Total Pages: 820

ISBN-13: 1470428482

DOWNLOAD EBOOK

Foundations and Applications of Statistics simultaneously emphasizes both the foundational and the computational aspects of modern statistics. Engaging and accessible, this book is useful to undergraduate students with a wide range of backgrounds and career goals. The exposition immediately begins with statistics, presenting concepts and results from probability along the way. Hypothesis testing is introduced very early, and the motivation for several probability distributions comes from p-value computations. Pruim develops the students' practical statistical reasoning through explicit examples and through numerical and graphical summaries of data that allow intuitive inferences before introducing the formal machinery. The topics have been selected to reflect the current practice in statistics, where computation is an indispensible tool. In this vein, the statistical computing environment R is used throughout the text and is integral to the exposition. Attention is paid to developing students' mathematical and computational skills as well as their statistical reasoning. Linear models, such as regression and ANOVA, are treated with explicit reference to the underlying linear algebra, which is motivated geometrically. Foundations and Applications of Statistics discusses both the mathematical theory underlying statistics and practical applications that make it a powerful tool across disciplines. The book contains ample material for a two-semester course in undergraduate probability and statistics. A one-semester course based on the book will cover hypothesis testing and confidence intervals for the most common situations. In the second edition, the R code has been updated throughout to take advantage of new R packages and to illustrate better coding style. New sections have been added covering bootstrap methods, multinomial and multivariate normal distributions, the delta method, numerical methods for Bayesian inference, and nonlinear least squares. Also, the use of matrix algebra has been expanded, but remains optional, providing instructors with more options regarding the amount of linear algebra required.


Book Synopsis Foundations and Applications of Statistics by : Randall Pruim

Download or read book Foundations and Applications of Statistics written by Randall Pruim and published by American Mathematical Soc.. This book was released on 2018-04-04 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations and Applications of Statistics simultaneously emphasizes both the foundational and the computational aspects of modern statistics. Engaging and accessible, this book is useful to undergraduate students with a wide range of backgrounds and career goals. The exposition immediately begins with statistics, presenting concepts and results from probability along the way. Hypothesis testing is introduced very early, and the motivation for several probability distributions comes from p-value computations. Pruim develops the students' practical statistical reasoning through explicit examples and through numerical and graphical summaries of data that allow intuitive inferences before introducing the formal machinery. The topics have been selected to reflect the current practice in statistics, where computation is an indispensible tool. In this vein, the statistical computing environment R is used throughout the text and is integral to the exposition. Attention is paid to developing students' mathematical and computational skills as well as their statistical reasoning. Linear models, such as regression and ANOVA, are treated with explicit reference to the underlying linear algebra, which is motivated geometrically. Foundations and Applications of Statistics discusses both the mathematical theory underlying statistics and practical applications that make it a powerful tool across disciplines. The book contains ample material for a two-semester course in undergraduate probability and statistics. A one-semester course based on the book will cover hypothesis testing and confidence intervals for the most common situations. In the second edition, the R code has been updated throughout to take advantage of new R packages and to illustrate better coding style. New sections have been added covering bootstrap methods, multinomial and multivariate normal distributions, the delta method, numerical methods for Bayesian inference, and nonlinear least squares. Also, the use of matrix algebra has been expanded, but remains optional, providing instructors with more options regarding the amount of linear algebra required.

Fundamentals of Applied Statistics

Fundamentals of Applied Statistics

Author: S. C. Gupta

Publisher:

Published: 1994

Total Pages: 616

ISBN-13: 9788170141518

DOWNLOAD EBOOK


Book Synopsis Fundamentals of Applied Statistics by : S. C. Gupta

Download or read book Fundamentals of Applied Statistics written by S. C. Gupta and published by . This book was released on 1994 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Learn R for Applied Statistics

Learn R for Applied Statistics

Author: Eric Goh Ming Hui

Publisher: Apress

Published: 2018-11-30

Total Pages: 254

ISBN-13: 1484242009

DOWNLOAD EBOOK

Gain the R programming language fundamentals for doing the applied statistics useful for data exploration and analysis in data science and data mining. This book covers topics ranging from R syntax basics, descriptive statistics, and data visualizations to inferential statistics and regressions. After learning R’s syntax, you will work through data visualizations such as histograms and boxplot charting, descriptive statistics, and inferential statistics such as t-test, chi-square test, ANOVA, non-parametric test, and linear regressions. Learn R for Applied Statistics is a timely skills-migration book that equips you with the R programming fundamentals and introduces you to applied statistics for data explorations. What You Will LearnDiscover R, statistics, data science, data mining, and big data Master the fundamentals of R programming, including variables and arithmetic, vectors, lists, data frames, conditional statements, loops, and functions Work with descriptive statistics Create data visualizations, including bar charts, line charts, scatter plots, boxplots, histograms, and scatterplots Use inferential statistics including t-tests, chi-square tests, ANOVA, non-parametric tests, linear regressions, and multiple linear regressions Who This Book Is For Those who are interested in data science, in particular data exploration using applied statistics, and the use of R programming for data visualizations.


Book Synopsis Learn R for Applied Statistics by : Eric Goh Ming Hui

Download or read book Learn R for Applied Statistics written by Eric Goh Ming Hui and published by Apress. This book was released on 2018-11-30 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gain the R programming language fundamentals for doing the applied statistics useful for data exploration and analysis in data science and data mining. This book covers topics ranging from R syntax basics, descriptive statistics, and data visualizations to inferential statistics and regressions. After learning R’s syntax, you will work through data visualizations such as histograms and boxplot charting, descriptive statistics, and inferential statistics such as t-test, chi-square test, ANOVA, non-parametric test, and linear regressions. Learn R for Applied Statistics is a timely skills-migration book that equips you with the R programming fundamentals and introduces you to applied statistics for data explorations. What You Will LearnDiscover R, statistics, data science, data mining, and big data Master the fundamentals of R programming, including variables and arithmetic, vectors, lists, data frames, conditional statements, loops, and functions Work with descriptive statistics Create data visualizations, including bar charts, line charts, scatter plots, boxplots, histograms, and scatterplots Use inferential statistics including t-tests, chi-square tests, ANOVA, non-parametric tests, linear regressions, and multiple linear regressions Who This Book Is For Those who are interested in data science, in particular data exploration using applied statistics, and the use of R programming for data visualizations.

Fundamentals of Applied Probability and Random Processes

Fundamentals of Applied Probability and Random Processes

Author: Oliver Ibe

Publisher: Academic Press

Published: 2014-06-13

Total Pages: 456

ISBN-13: 0128010355

DOWNLOAD EBOOK

The long-awaited revision of Fundamentals of Applied Probability and Random Processes expands on the central components that made the first edition a classic. The title is based on the premise that engineers use probability as a modeling tool, and that probability can be applied to the solution of engineering problems. Engineers and students studying probability and random processes also need to analyze data, and thus need some knowledge of statistics. This book is designed to provide students with a thorough grounding in probability and stochastic processes, demonstrate their applicability to real-world problems, and introduce the basics of statistics. The book's clear writing style and homework problems make it ideal for the classroom or for self-study. Demonstrates concepts with more than 100 illustrations, including 2 dozen new drawings Expands readers’ understanding of disruptive statistics in a new chapter (chapter 8) Provides new chapter on Introduction to Random Processes with 14 new illustrations and tables explaining key concepts. Includes two chapters devoted to the two branches of statistics, namely descriptive statistics (chapter 8) and inferential (or inductive) statistics (chapter 9).


Book Synopsis Fundamentals of Applied Probability and Random Processes by : Oliver Ibe

Download or read book Fundamentals of Applied Probability and Random Processes written by Oliver Ibe and published by Academic Press. This book was released on 2014-06-13 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The long-awaited revision of Fundamentals of Applied Probability and Random Processes expands on the central components that made the first edition a classic. The title is based on the premise that engineers use probability as a modeling tool, and that probability can be applied to the solution of engineering problems. Engineers and students studying probability and random processes also need to analyze data, and thus need some knowledge of statistics. This book is designed to provide students with a thorough grounding in probability and stochastic processes, demonstrate their applicability to real-world problems, and introduce the basics of statistics. The book's clear writing style and homework problems make it ideal for the classroom or for self-study. Demonstrates concepts with more than 100 illustrations, including 2 dozen new drawings Expands readers’ understanding of disruptive statistics in a new chapter (chapter 8) Provides new chapter on Introduction to Random Processes with 14 new illustrations and tables explaining key concepts. Includes two chapters devoted to the two branches of statistics, namely descriptive statistics (chapter 8) and inferential (or inductive) statistics (chapter 9).

Fundamentals of Modern Statistical Methods

Fundamentals of Modern Statistical Methods

Author: Rand R. Wilcox

Publisher: Springer Science & Business Media

Published: 2010-03-18

Total Pages: 255

ISBN-13: 1441955240

DOWNLOAD EBOOK

Conventional statistical methods have a very serious flaw. They routinely miss differences among groups or associations among variables that are detected by more modern techniques, even under very small departures from normality. Hundreds of journal articles have described the reasons standard techniques can be unsatisfactory, but simple, intuitive explanations are generally unavailable. Situations arise where even highly nonsignificant results become significant when analyzed with more modern methods. Without assuming the reader has any prior training in statistics, Part I of this book describes basic statistical principles from a point of view that makes their shortcomings intuitive and easy to understand. The emphasis is on verbal and graphical descriptions of concepts. Part II describes modern methods that address the problems covered in Part I. Using data from actual studies, many examples are included to illustrate the practical problems with conventional procedures and how more modern methods can make a substantial difference in the conclusions reached in many areas of statistical research. The second edition of this book includes a number of advances and insights that have occurred since the first edition appeared. Included are new results relevant to medians, regression, measures of association, strategies for comparing dependent groups, methods for dealing with heteroscedasticity, and measures of effect size.


Book Synopsis Fundamentals of Modern Statistical Methods by : Rand R. Wilcox

Download or read book Fundamentals of Modern Statistical Methods written by Rand R. Wilcox and published by Springer Science & Business Media. This book was released on 2010-03-18 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conventional statistical methods have a very serious flaw. They routinely miss differences among groups or associations among variables that are detected by more modern techniques, even under very small departures from normality. Hundreds of journal articles have described the reasons standard techniques can be unsatisfactory, but simple, intuitive explanations are generally unavailable. Situations arise where even highly nonsignificant results become significant when analyzed with more modern methods. Without assuming the reader has any prior training in statistics, Part I of this book describes basic statistical principles from a point of view that makes their shortcomings intuitive and easy to understand. The emphasis is on verbal and graphical descriptions of concepts. Part II describes modern methods that address the problems covered in Part I. Using data from actual studies, many examples are included to illustrate the practical problems with conventional procedures and how more modern methods can make a substantial difference in the conclusions reached in many areas of statistical research. The second edition of this book includes a number of advances and insights that have occurred since the first edition appeared. Included are new results relevant to medians, regression, measures of association, strategies for comparing dependent groups, methods for dealing with heteroscedasticity, and measures of effect size.

Fundamentals of Statistics with Fuzzy Data

Fundamentals of Statistics with Fuzzy Data

Author: Hung T. Nguyen

Publisher: Springer

Published: 2006-02-28

Total Pages: 0

ISBN-13: 3540316973

DOWNLOAD EBOOK

This book presents basic aspects for a theory of statistics with fuzzy data, together with a set of practical applications. Theories of fuzzy logic and of random closed sets are used as basic ingredients in building statistical concepts and procedures in the context of imprecise data, including coarse data analysis. The book aims at motivating statisticians to examine fuzzy statistics to enlarge the domain of applicability of statistics in general.


Book Synopsis Fundamentals of Statistics with Fuzzy Data by : Hung T. Nguyen

Download or read book Fundamentals of Statistics with Fuzzy Data written by Hung T. Nguyen and published by Springer. This book was released on 2006-02-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents basic aspects for a theory of statistics with fuzzy data, together with a set of practical applications. Theories of fuzzy logic and of random closed sets are used as basic ingredients in building statistical concepts and procedures in the context of imprecise data, including coarse data analysis. The book aims at motivating statisticians to examine fuzzy statistics to enlarge the domain of applicability of statistics in general.

Modern Applied Statistics with S-PLUS

Modern Applied Statistics with S-PLUS

Author: W.N. Venables

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 508

ISBN-13: 1475731213

DOWNLOAD EBOOK

This best-selling guide has been completely updated to present the newest features of S-PLUS 5.0, and includes the very latest computationally-intensive methods and techniques. In addition, extensive software libraries, data sets, and complements will be available online. "the task the authors have undertaken is challenginggetting new S/S-Plus users to quickly learn the fundamentals of the language and presenting a modern approach to data analysis through numerous examples from many areas of statistics. They succeed in this" TECHNOMETRICS


Book Synopsis Modern Applied Statistics with S-PLUS by : W.N. Venables

Download or read book Modern Applied Statistics with S-PLUS written by W.N. Venables and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This best-selling guide has been completely updated to present the newest features of S-PLUS 5.0, and includes the very latest computationally-intensive methods and techniques. In addition, extensive software libraries, data sets, and complements will be available online. "the task the authors have undertaken is challenginggetting new S/S-Plus users to quickly learn the fundamentals of the language and presenting a modern approach to data analysis through numerous examples from many areas of statistics. They succeed in this" TECHNOMETRICS