Fundamentals Of Mathematical Statistics

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Fundamentals of Mathematical Statistics

Author : S.C. Gupta,V.K. Kapoor
Publisher : Sultan Chand & Sons
Page : 22 pages
File Size : 51,7 Mb
Release : 2020-09-10
Category : Mathematics
ISBN : 9789351611738

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Fundamentals of Mathematical Statistics by S.C. Gupta,V.K. Kapoor Pdf

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 Statistics with Fuzzy Data

Author : Hung T. Nguyen,Berlin Wu
Publisher : Springer
Page : 0 pages
File Size : 52,7 Mb
Release : 2006-02-28
Category : Mathematics
ISBN : 9783540316978

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Fundamentals of Statistics with Fuzzy Data by Hung T. Nguyen,Berlin Wu Pdf

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.

Essentials of Mathematical Statistics

Author : Brian Albright
Publisher : Jones & Bartlett Publishers
Page : 607 pages
File Size : 52,9 Mb
Release : 2014
Category : Mathematics
ISBN : 9781449685348

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Essentials of Mathematical Statistics by Brian Albright Pdf

This text combines the topics generally found in main-stream elementary statistics books with the essentials of the underlying theory. The book begins with an axiomatic treatment of probability followed by chapters on discrete and continuous random variables and their associated distributions. It then introduces basic statistical concepts including summarizing data and interval parameter estimation, stressing the connection between probability and statistics. Final chapters introduce hypothesis testing, regression, and non-parametric techniques. All chapters provide a balance between conceptual understanding and theoretical understanding of the topics at hand.

Mathematical Statistics

Author : Dieter Rasch,Dieter Schott
Publisher : John Wiley & Sons
Page : 886 pages
File Size : 52,6 Mb
Release : 2018-01-09
Category : Mathematics
ISBN : 9781119385233

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Mathematical Statistics by Dieter Rasch,Dieter Schott Pdf

Explores mathematical statistics in its entirety—from the fundamentals to modern methods This book introduces readers to point estimation, confidence intervals, and statistical tests. Based on the general theory of linear models, it provides an in-depth overview of the following: analysis of variance (ANOVA) for models with fixed, random, and mixed effects; regression analysis is also first presented for linear models with fixed, random, and mixed effects before being expanded to nonlinear models; statistical multi-decision problems like statistical selection procedures (Bechhofer and Gupta) and sequential tests; and design of experiments from a mathematical-statistical point of view. Most analysis methods have been supplemented by formulae for minimal sample sizes. The chapters also contain exercises with hints for solutions. Translated from the successful German text, Mathematical Statistics requires knowledge of probability theory (combinatorics, probability distributions, functions and sequences of random variables), which is typically taught in the earlier semesters of scientific and mathematical study courses. It teaches readers all about statistical analysis and covers the design of experiments. The book also describes optimal allocation in the chapters on regression analysis. Additionally, it features a chapter devoted solely to experimental designs. Classroom-tested with exercises included Practice-oriented (taken from day-to-day statistical work of the authors) Includes further studies including design of experiments and sample sizing Presents and uses IBM SPSS Statistics 24 for practical calculations of data Mathematical Statistics is a recommended text for advanced students and practitioners of math, probability, and statistics.

Fundamentals of Mathematical Statistics

Author : Hung T. Nguyen,Gerald S. Rogers
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461210139

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Fundamentals of Mathematical Statistics by Hung T. Nguyen,Gerald S. Rogers Pdf

This is the first half of a text for a two semester course in mathematical statistics at the senior/graduate level for those who need a strong background in statistics as an essential tool in their career. To study this text, the reader needs a thorough familiarity with calculus including such things as Jacobians and series but somewhat less intense familiarity with matrices including quadratic forms and eigenvalues. For convenience, these lecture notes were divided into two parts: Volume I, Probability for Statistics, for the first semester, and Volume II, Statistical Inference, for the second. We suggest that the following distinguish this text from other introductions to mathematical statistics. 1. The most obvious thing is the layout. We have designed each lesson for the (U.S.) 50 minute class; those who study independently probably need the traditional three hours for each lesson. Since we have more than (the U.S. again) 90 lessons, some choices have to be made. In the table of contents, we have used a * to designate those lessons which are "interesting but not essential" (INE) and may be omitted from a general course; some exercises and proofs in other lessons are also "INE". We have made lessons of some material which other writers might stuff into appendices. Incorporating this freedom of choice has led to some redundancy, mostly in definitions, which may be beneficial.

Fundamentals of Mathematical Statistics

Author : Hung T. Nguyen,Gerald S. Rogers
Publisher : Springer
Page : 448 pages
File Size : 47,8 Mb
Release : 1989-07-25
Category : Mathematics
ISBN : UOM:39015015706537

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Fundamentals of Mathematical Statistics by Hung T. Nguyen,Gerald S. Rogers Pdf

This is a text (divided into two volumes) for a two semester course in Mathematical Statistics at the Senior/Graduate level. The two main pedagogical aspects in these Volumes are: (i) the material is designed in lessons (each for a 50 minute class) with complementary exercises and home work. (ii) although the material is traditional, great care is exerted upon self-contained, rigorous and complete presentations. An elementary introduction to characteristic functions and probability measures and intergration, but not general measure theory in Volume I, allows a complete proof of some central limit theorems and a rigorous treatment of asymptotic of statistical inference. But students need to be familiar only with such things as Jacobians and eigenvalues of matrices. Volume II: Statistical Inference is designed for the second semester and contains a rigorous introduction to Mathematical Statistics, from random samples to asymptotic theory of statistical inference.

Mathematical Statistics

Author : Jun Shao
Publisher : Springer Science & Business Media
Page : 592 pages
File Size : 40,9 Mb
Release : 2008-02-03
Category : Mathematics
ISBN : 9780387217185

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Mathematical Statistics by Jun Shao Pdf

This graduate textbook covers topics in statistical theory essential for graduate students preparing for work on a Ph.D. degree in statistics. This new edition has been revised and updated and in this fourth printing, errors have been ironed out. The first chapter provides a quick overview of concepts and results in measure-theoretic probability theory that are useful in statistics. The second chapter introduces some fundamental concepts in statistical decision theory and inference. Subsequent chapters contain detailed studies on some important topics: unbiased estimation, parametric estimation, nonparametric estimation, hypothesis testing, and confidence sets. A large number of exercises in each chapter provide not only practice problems for students, but also many additional results.

Fundamentals of Mathematical Statistics

Author : S. C. Gupta
Publisher : Unknown
Page : 65 pages
File Size : 46,7 Mb
Release : 1993
Category : Mathematical statistics
ISBN : 8170141206

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Fundamentals of Mathematical Statistics by S. C. Gupta Pdf

Examples and Problems in Mathematical Statistics

Author : Shelemyahu Zacks
Publisher : John Wiley & Sons
Page : 652 pages
File Size : 47,6 Mb
Release : 2013-12-17
Category : Mathematics
ISBN : 9781118605837

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Examples and Problems in Mathematical Statistics by Shelemyahu Zacks Pdf

Provides the necessary skills to solve problems in mathematical statistics through theory, concrete examples, and exercises With a clear and detailed approach to the fundamentals of statistical theory, Examples and Problems in Mathematical Statistics uniquely bridges the gap between theory andapplication and presents numerous problem-solving examples that illustrate the relatednotations and proven results. Written by an established authority in probability and mathematical statistics, each chapter begins with a theoretical presentation to introduce both the topic and the important results in an effort to aid in overall comprehension. Examples are then provided, followed by problems, and finally, solutions to some of the earlier problems. In addition, Examples and Problems in Mathematical Statistics features: Over 160 practical and interesting real-world examples from a variety of fields including engineering, mathematics, and statistics to help readers become proficient in theoretical problem solving More than 430 unique exercises with select solutions Key statistical inference topics, such as probability theory, statistical distributions, sufficient statistics, information in samples, testing statistical hypotheses, statistical estimation, confidence and tolerance intervals, large sample theory, and Bayesian analysis Recommended for graduate-level courses in probability and statistical inference, Examples and Problems in Mathematical Statistics is also an ideal reference for applied statisticians and researchers.

Fundamentals of Applied Statistics

Author : S. C. Gupta,V. K. Kapoor
Publisher : Unknown
Page : 128 pages
File Size : 43,7 Mb
Release : 2007
Category : Statistics
ISBN : 8180547051

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Fundamentals of Applied Statistics by S. C. Gupta,V. K. Kapoor Pdf

All of Statistics

Author : Larry Wasserman
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 47,7 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 9780387217369

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All of Statistics by Larry Wasserman Pdf

Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data.

Fundamentals of mathematical statistics

Author : Hung T. Nguyen
Publisher : Unknown
Page : 422 pages
File Size : 49,6 Mb
Release : 1991
Category : Electronic
ISBN : 7506210975

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Fundamentals of mathematical statistics by Hung T. Nguyen Pdf

Statistics: The fundamentals

Author : Kunihiro Suzuki
Publisher : Unknown
Page : 0 pages
File Size : 41,6 Mb
Release : 2019
Category : Mathematical statistics
ISBN : 1536144622

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Statistics: The fundamentals by Kunihiro Suzuki Pdf

We utilize statistics in our daily lives when we evaluate TV program ratings, predict voting outcomes, prepare stock, predict the amounts of sales, and evaluate the effectiveness of medical treatment. We predict the result not on the basis of personal experience, but on the basis of data. However, the accuracy of the prediction depends on the data, the theory, and the depth of understanding the model. In this book, the author analyzes fundamental models to advanced models without skipping their derivation processes. It is then possible to clearly understand the assumption and approximations used in the model, and hence understand the limitation of the model. We also cover almost all of the subjects in statistics since they are all related to each other. Although this book treats advanced models, people who are not professional in science can easily understand the content since by stepping up the derivation from the fundamental level to the advanced level. The author does hope that readers can understand the meaning of the models in statistics and techniques to reach the final results.

Fundamentals of Mathematical Statistics

Author : Steffen Lauritzen
Publisher : CRC Press
Page : 259 pages
File Size : 54,7 Mb
Release : 2023-04-17
Category : Mathematics
ISBN : 9781000831962

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Fundamentals of Mathematical Statistics by Steffen Lauritzen Pdf

Fundamentals of Mathematical Statistics is meant for a standard one-semester advanced undergraduate or graduate-level course in Mathematical Statistics. It covers all the key topics—statistical models, linear normal models, exponential families, estimation, asymptotics of maximum likelihood, significance testing, and models for tables of counts. It assumes a good background in mathematical analysis, linear algebra, and probability but includes an appendix with basic results from these areas. Throughout the text, there are numerous examples and graduated exercises that illustrate the topics covered, rendering the book suitable for teaching or self-study. Features A concise yet rigorous introduction to a one-semester course in Mathematical Statistics Covers all the key topics Assumes a solid background in Mathematics and Probability Numerous examples illustrate the topics Many exercises enhance understanding of the material and enable course use This textbook will be a perfect fit for an advanced course in Mathematical Statistics or Statistical Theory. The concise and lucid approach means it could also serve as a good alternative, or supplement, to existing texts.

Introduction to Mathematical Statistics, Fifth Edition

Author : Robert V. Hogg,Allen Thornton Craig
Publisher : Unknown
Page : 88 pages
File Size : 44,7 Mb
Release : 1995
Category : Mathematical statistics
ISBN : 0132089351

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Introduction to Mathematical Statistics, Fifth Edition by Robert V. Hogg,Allen Thornton Craig Pdf