The Fundamental Principles Of Mathematical Statistics

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Fundamentals of Mathematical Statistics

Author : S.C. Gupta
Publisher : Sultan Chand & Sons
ISBN 13 : 9351611736
Total Pages : 22 pages
Book Rating : 4.3/5 (516 download)

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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

The Fundamental Principles of Mathematical Statistics

Author : Hugh H. Wolfenden
Publisher : Pub. for the Actuarial society of America ; New York : Macmillan Company of Canada Limited
ISBN 13 :
Total Pages : 414 pages
Book Rating : 4.:/5 (39 download)

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Book Synopsis The Fundamental Principles of Mathematical Statistics by : Hugh H. Wolfenden

Download or read book The Fundamental Principles of Mathematical Statistics written by Hugh H. Wolfenden and published by Pub. for the Actuarial society of America ; New York : Macmillan Company of Canada Limited. This book was released on 1942 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Statistics for Economics and Business

Author : Ron C. Mittelhammer
Publisher : Springer Science & Business Media
ISBN 13 : 1461450225
Total Pages : 777 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Mathematical Statistics for Economics and Business by : Ron C. Mittelhammer

Download or read book Mathematical Statistics for Economics and Business written by Ron C. Mittelhammer and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Statistics for Economics and Business, Second Edition, provides a comprehensive introduction to the principles of mathematical statistics which underpin statistical analyses in the fields of economics, business, and econometrics. The selection of topics in this textbook is designed to provide students with a conceptual foundation that will facilitate a substantial understanding of statistical applications in these subjects. This new edition has been updated throughout and now also includes a downloadable Student Answer Manual containing detailed solutions to half of the over 300 end-of-chapter problems. After introducing the concepts of probability, random variables, and probability density functions, the author develops the key concepts of mathematical statistics, most notably: expectation, sampling, asymptotics, and the main families of distributions. The latter half of the book is then devoted to the theories of estimation and hypothesis testing with associated examples and problems that indicate their wide applicability in economics and business. Features of the new edition include: a reorganization of topic flow and presentation to facilitate reading and understanding; inclusion of additional topics of relevance to statistics and econometric applications; a more streamlined and simple-to-understand notation for multiple integration and multiple summation over general sets or vector arguments; updated examples; new end-of-chapter problems; a solution manual for students; a comprehensive answer manual for instructors; and a theorem and definition map. This book has evolved from numerous graduate courses in mathematical statistics and econometrics taught by the author, and will be ideal for students beginning graduate study as well as for advanced undergraduates.

Mathematical Statistics

Author : Henry L. Rietz
Publisher : American Mathematical Soc.
ISBN 13 : 1614440034
Total Pages : 181 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis Mathematical Statistics by : Henry L. Rietz

Download or read book Mathematical Statistics written by Henry L. Rietz and published by American Mathematical Soc.. This book was released on 1927-12-31 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph contributes toward shifting the emphasis and point of view in the study of statistics in the direction of the consideration of the underlying theory involved in certain highly important methods of statistical analysis. With this as the main purpose, it is natural that no great effort is made to present a well-balanced discussion of all the many available topics. Considerable portions of this monograph can be read by those who have relatively little knowledge of college mathematics. However, the exposition is designed, in general, for readers of a certain degree of mathematical maturity, and presupposes an acquaintance with elementary differential and integral calculus, and with the elementary principles of probability as presented in various books on college algebra for freshmen.

The Fundamental Principles of Mathematical Statistics

Author : Hugh Herbert Wolfenden
Publisher :
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Fundamental Principles of Mathematical Statistics by : Hugh Herbert Wolfenden

Download or read book The Fundamental Principles of Mathematical Statistics written by Hugh Herbert Wolfenden and published by . This book was released on 1942 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Foundations of Mathematics and Statistics

Author : Timothy C. Kearns
Publisher :
ISBN 13 : 9781546277484
Total Pages : 538 pages
Book Rating : 4.2/5 (774 download)

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Book Synopsis Foundations of Mathematics and Statistics by : Timothy C. Kearns

Download or read book Foundations of Mathematics and Statistics written by Timothy C. Kearns and published by . This book was released on 2019-01-26 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Mathematics and Statistics is a summary of the basic principles of math and statistics for students that are interested in pursuing studies in the mathematical sciences. The first goal is to provide a good foundation of knowledge and ability with the basics of mathematics. This includes logic, sets, number systems, algebra, geometry, trigonometry, and the calculus. Then the remainder of the book deals with the fundamental topics of applied and mathematical statistics, including probability, random variables, expected value, samples, distributions, hypothesis testing, confidence intervals, and an introduction to linear regression and correlation. The book can be used by all students that need a summary of math fundamentals, with a sound introduction to the basics of statistical thinking and methodology. Those that need a good familiarity with math and statistics would find this book a valuable supplemental reading, along with the fair amount of exercises that are included in order to reinforce the important ideas.

Fundamentals of Mathematical Statistics

Author : Hung T. Nguyen
Publisher : Springer
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Fundamentals of Mathematical Statistics by : Hung T. Nguyen

Download or read book Fundamentals of Mathematical Statistics written by Hung T. Nguyen and published by Springer. This book was released on 1989-07-25 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elements of Statistical Theory

Author : Odeyinka J. A
Publisher :
ISBN 13 : 9781696462709
Total Pages : 286 pages
Book Rating : 4.4/5 (627 download)

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Book Synopsis Elements of Statistical Theory by : Odeyinka J. A

Download or read book Elements of Statistical Theory written by Odeyinka J. A and published by . This book was released on 2019-10-15 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are you looking for a simplified guide on statistics?This book is intended to provide a text that would introduce the basic principles of Statistical Theory (Mathematical Statistics) to students in tertiary institutions that may require its knowledge in their various academic fields.The book covers fundamental topics in statistical theory. No rigorous mathematics is needed to understand the basic concepts presented. The mathematical tools needed for easy understanding are not assumed. They are given a chapter in the book. Many illustrated examples are given to aid the students understanding of the concepts. Tutorial questions to which answers are given are also provided.What are you waiting for?Scroll up and Click the Add to Cart button now.

Fundamentals of Mathematical Statistics

Author : Hung T. Nguyen
Publisher : Springer Science & Business Media
ISBN 13 : 1461210135
Total Pages : 442 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Fundamentals of Mathematical Statistics by : Hung T. Nguyen

Download or read book Fundamentals of Mathematical Statistics written by Hung T. Nguyen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Steffen Lauritzen
Publisher : CRC Press
ISBN 13 : 1000831965
Total Pages : 259 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Fundamentals of Mathematical Statistics by : Steffen Lauritzen

Download or read book Fundamentals of Mathematical Statistics written by Steffen Lauritzen and published by CRC Press. This book was released on 2023-04-17 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Principles of Statistics for Engineers and Scientists

Author : William Cyrus Navidi
Publisher :
ISBN 13 : 9781260257816
Total Pages : pages
Book Rating : 4.2/5 (578 download)

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Book Synopsis Principles of Statistics for Engineers and Scientists by : William Cyrus Navidi

Download or read book Principles of Statistics for Engineers and Scientists written by William Cyrus Navidi and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is based on the author's more comprehensive text Statistics for Engineers and Scientists, 2nd edition (McGraw-Hill, 2008), which is used for both one- and twosemester courses. The key concepts from that book form the basis for this text, which is designed for a one-semester course. The emphasis is on statistical methods and how they can be applied to problems in science and engineering, rather than on theory. While the fundamental principles of statistics are common to all disciplines, students in science and engineering learn best from examples that present important ideas in realistic settings. Accordingly, the book contains many examples that feature real, contemporary data sets, both to motivate students and to show connections to industry and scientific research. As the text emphasizes applications rather than theory, the mathematical level is appropriately modest. Most of the book will be mathematically accessible to those whose background includes one semester of calculus"--

Mathematical Statistics

Author : Thomas S. Ferguson
Publisher : Academic Press
ISBN 13 : 1483221237
Total Pages : 408 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Statistics by : Thomas S. Ferguson

Download or read book Mathematical Statistics written by Thomas S. Ferguson and published by Academic Press. This book was released on 2014-07-10 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Statistics: A Decision Theoretic Approach presents an investigation of the extent to which problems of mathematical statistics may be treated by decision theory approach. This book deals with statistical theory that could be justified from a decision-theoretic viewpoint. Organized into seven chapters, this book begins with an overview of the elements of decision theory that are similar to those of the theory of games. This text then examines the main theorems of decision theory that involve two more notions, namely the admissibility of a decision rule and the completeness of a class of decision rules. Other chapters consider the development of theorems in decision theory that are valid in general situations. This book discusses as well the invariance principle that involves groups of transformations over the three spaces around which decision theory is built. The final chapter deals with sequential decision problems. This book is a valuable resource for first-year graduate students in mathematics.

Theory of Games and Statistical Decisions

Author : David A. Blackwell
Publisher : Courier Corporation
ISBN 13 : 0486150895
Total Pages : 388 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Theory of Games and Statistical Decisions by : David A. Blackwell

Download or read book Theory of Games and Statistical Decisions written by David A. Blackwell and published by Courier Corporation. This book was released on 2012-06-14 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evaluating statistical procedures through decision and game theory, as first proposed by Neyman and Pearson and extended by Wald, is the goal of this problem-oriented text in mathematical statistics. First-year graduate students in statistics and other students with a background in statistical theory and advanced calculus will find a rigorous, thorough presentation of statistical decision theory treated as a special case of game theory. The work of Borel, von Neumann, and Morgenstern in game theory, of prime importance to decision theory, is covered in its relevant aspects: reduction of games to normal forms, the minimax theorem, and the utility theorem. With this introduction, Blackwell and Professor Girshick look at: Values and Optimal Strategies in Games; General Structure of Statistical Games; Utility and Principles of Choice; Classes of Optimal Strategies; Fixed Sample-Size Games with Finite Ω and with Finite A; Sufficient Statistics and the Invariance Principle; Sequential Games; Bayes and Minimax Sequential Procedures; Estimation; and Comparison of Experiments. A few topics not directly applicable to statistics, such as perfect information theory, are also discussed. Prerequisites for full understanding of the procedures in this book include knowledge of elementary analysis, and some familiarity with matrices, determinants, and linear dependence. For purposes of formal development, only discrete distributions are used, though continuous distributions are employed as illustrations. The number and variety of problems presented will be welcomed by all students, computer experts, and others using statistics and game theory. This comprehensive and sophisticated introduction remains one of the strongest and most useful approaches to a field which today touches areas as diverse as gambling and particle physics.

Mathematical Basis of Statistics

Author : Jean-René Barra
Publisher : Academic Press
ISBN 13 : 1483191443
Total Pages : 269 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Mathematical Basis of Statistics by : Jean-René Barra

Download or read book Mathematical Basis of Statistics written by Jean-René Barra and published by Academic Press. This book was released on 2014-05-10 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Basis of Statistics provides information pertinent to the methods and the mathematical basis of statistics. This book discusses the fundamental notion of statistical space. Organized into 12 chapters, this book begins with an overview of the notion of statistical space in mathematical statistics and discusses other analogies with probability theory. This text then presents the notions of sufficiency and freedom, which are fundamental and useful in statistics but do not correspond to any notion in probability theory. Other chapters consider the theory of nonsequential tests and explain the practical meaning of the mathematical tools employed in statistics. This book discusses as well distributions used most frequently in classical statistical problems based on the normal distribution and provides relationships among these distributions. The final chapter deals with certain problems of mathematical statistics that are related to various problems of functional analysis. This book is a valuable resource for graduate and postgraduate students.

Mathematical Statistics

Author : Peter .J. Bickel
Publisher : CRC Press
ISBN 13 : 1498740413
Total Pages : 1051 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Mathematical Statistics by : Peter .J. Bickel

Download or read book Mathematical Statistics written by Peter .J. Bickel and published by CRC Press. This book was released on 2015-12-08 with total page 1051 pages. Available in PDF, EPUB and Kindle. Book excerpt: This package includes both Mathematical Statistics: Basic Ideas and Selected Topics, Volume I, Second Edition, as well as Mathematical Statistics: Basic Ideas and Selected Topics, Volume II. Volume I presents fundamental, classical statistical concepts at the doctorate level without using measure theory. It gives careful proofs of major results and explains how the theory sheds light on the properties of practical methods. Volume II covers a number of topics that are important in current measure theory and practice. It emphasizes nonparametric methods which can really only be implemented with modern computing power on large and complex data sets. In addition, the set includes a large number of problems with more difficult ones appearing with hints and partial solutions for the instructor.

An Introduction to Probability and Mathematical Statistics

Author : Howard G. Tucker
Publisher : Academic Press
ISBN 13 : 1483225143
Total Pages : 240 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis An Introduction to Probability and Mathematical Statistics by : Howard G. Tucker

Download or read book An Introduction to Probability and Mathematical Statistics written by Howard G. Tucker and published by Academic Press. This book was released on 2014-05-12 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Probability and Mathematical Statistics provides information pertinent to the fundamental aspects of probability and mathematical statistics. This book covers a variety of topics, including random variables, probability distributions, discrete distributions, and point estimation. Organized into 13 chapters, this book begins with an overview of the definition of function. This text then examines the notion of conditional or relative probability. Other chapters consider Cochran's theorem, which is of extreme importance in that part of statistical inference known as analysis of variance. This book discusses as well the fundamental principles of testing statistical hypotheses by providing the reader with an idea of the basic problem and its relation to practice. The final chapter deals with the problem of estimation and the Neyman theory of confidence intervals. This book is a valuable resource for undergraduate university students who are majoring in mathematics. Students who are majoring in physics and who are inclined toward abstract mathematics will also find this book useful.

Statistics

Author : William J. Adams
Publisher : Xlibris Corporation
ISBN 13 : 1469107317
Total Pages : 756 pages
Book Rating : 4.4/5 (691 download)

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Book Synopsis Statistics by : William J. Adams

Download or read book Statistics written by William J. Adams and published by Xlibris Corporation. This book was released on 2009-02-03 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: " Our objective in this book is to present an exposition of basic principles of statistics along with some indication of applications which satisfies the following ten commandments: The focus should be placed on a clear development of basic ideas and principles. The exposition of these basic ideas and principles should be streamlined so as to avoid having the undergrowth get in the way of the statistical forest. High priority should be given to the assumptions which underlie the application of statistical principles. Understanding of abuses, misuses, and misunderstandings which have arisen from the application of statistics is essential for a correct understanding of statistics. The coverage should provide students with sufficient preparation for continued study of intermediate and advanced level statistics or disciplines which use statistical methodology. The exposition should be readable and understandable by students without sacrifice of mathematical accuracy. The organization should clearly distinguish mainstream topics inherent in every basic level statistics course, irrespective of applied interests, from topics of special interest to particular audience segments. The computation dimension should not be given equal billing with statistical principles and ideas. Statistics is the master and, important as it is, the computation tool is the servant. Exercises to provoke-thought - exercise the little grey cells, as Hercule Poirot would put it - should be a prominent part of the exposition. Exercise banks to help the student see statistics as a whole are important.