First Course In Statistical Inference

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First Course in Statistical Inference

Jonathan Gillard
First Course in Statistical Inference Book PDF

Author : Jonathan Gillard
Publisher : Unknown
Page : 164 pages
File Size : 47,7 Mb
Release : 2020
Category : Inference
ISBN : 3030395626

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First Course in Statistical Inference by Jonathan Gillard Pdf

This book offers a modern and accessible introduction to Statistical Inference, the science of inferring key information from data. Aimed at beginning undergraduate students in mathematics, it presents the concepts underpinning frequentist statistical theory. Written in a conversational and informal style, this concise text concentrates on ideas and concepts, with key theorems stated and proved. Detailed worked examples are included and each chapter ends with a set of exercises, with full solutions given at the back of the book. Examples using R are provided throughout the book, with a brief guide to the software included. Topics covered in the book include: sampling distributions, properties of estimators, confidence intervals, hypothesis testing, ANOVA, and fitting a straight line to paired data. Based on the author's extensive teaching experience, the material of the book has been honed by student feedback for over a decade. Assuming only some familiarity with elementary probability, this textbook has been devised for a one semester first course in statistics.

A First Course in Statistical Inference

Jonathan Gillard
A First Course in Statistical Inference Book PDF

Author : Jonathan Gillard
Publisher : Springer Nature
Page : 167 pages
File Size : 41,6 Mb
Release : 2020-04-20
Category : Mathematics
ISBN : 9783030395612

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A First Course in Statistical Inference by Jonathan Gillard Pdf

This book offers a modern and accessible introduction to Statistical Inference, the science of inferring key information from data. Aimed at beginning undergraduate students in mathematics, it presents the concepts underpinning frequentist statistical theory. Written in a conversational and informal style, this concise text concentrates on ideas and concepts, with key theorems stated and proved. Detailed worked examples are included and each chapter ends with a set of exercises, with full solutions given at the back of the book. Examples using R are provided throughout the book, with a brief guide to the software included. Topics covered in the book include: sampling distributions, properties of estimators, confidence intervals, hypothesis testing, ANOVA, and fitting a straight line to paired data. Based on the author’s extensive teaching experience, the material of the book has been honed by student feedback for over a decade. Assuming only some familiarity with elementary probability, this textbook has been devised for a one semester first course in statistics.

Statistics for Mathematicians

Victor M. Panaretos
Statistics for Mathematicians Book PDF

Author : Victor M. Panaretos
Publisher : Birkhäuser
Page : 177 pages
File Size : 46,5 Mb
Release : 2016-06-01
Category : Mathematics
ISBN : 9783319283418

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Statistics for Mathematicians by Victor M. Panaretos Pdf

This textbook provides a coherent introduction to the main concepts and methods of one-parameter statistical inference. Intended for students of Mathematics taking their first course in Statistics, the focus is on Statistics for Mathematicians rather than on Mathematical Statistics. The goal is not to focus on the mathematical/theoretical aspects of the subject, but rather to provide an introduction to the subject tailored to the mindset and tastes of Mathematics students, who are sometimes turned off by the informal nature of Statistics courses. This book can be used as the basis for an elementary semester-long first course on Statistics with a firm sense of direction that does not sacrifice rigor. The deeper goal of the text is to attract the attention of promising Mathematics students.

All of Statistics

Larry Wasserman
All of Statistics Book PDF

Author : Larry Wasserman
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 45,8 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.

Statistical Inference

George Casella,Roger Berger
Statistical Inference Book PDF

Author : George Casella,Roger Berger
Publisher : CRC Press
Page : 1746 pages
File Size : 49,7 Mb
Release : 2024-05-23
Category : Mathematics
ISBN : 9781040024027

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Statistical Inference by George Casella,Roger Berger Pdf

This classic textbook builds theoretical statistics from the first principles of probability theory. Starting from the basics of probability, the authors develop the theory of statistical inference using techniques, definitions, and concepts that are statistical and natural extensions, and consequences, of previous concepts. It covers all topics from a standard inference course including: distributions, random variables, data reduction, point estimation, hypothesis testing, and interval estimation. Features The classic graduate-level textbook on statistical inference Develops elements of statistical theory from first principles of probability Written in a lucid style accessible to anyone with some background in calculus Covers all key topics of a standard course in inference Hundreds of examples throughout to aid understanding Each chapter includes an extensive set of graduated exercises Statistical Inference, Second Edition is primarily aimed at graduate students of statistics, but can be used by advanced undergraduate students majoring in statistics who have a solid mathematics background. It also stresses the more practical uses of statistical theory, being more concerned with understanding basic statistical concepts and deriving reasonable statistical procedures, while less focused on formal optimality considerations. This is a reprint of the second edition originally published by Cengage Learning, Inc. in 2001.

A First Course in Order Statistics

Barry C. Arnold,N. Balakrishnan,H. N. Nagaraja
A First Course in Order Statistics Book PDF

Author : Barry C. Arnold,N. Balakrishnan,H. N. Nagaraja
Publisher : SIAM
Page : 291 pages
File Size : 40,9 Mb
Release : 2008-09-25
Category : Mathematics
ISBN : 9780898716481

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A First Course in Order Statistics by Barry C. Arnold,N. Balakrishnan,H. N. Nagaraja Pdf

This updated classic text will aid readers in understanding much of the current literature on order statistics: a flourishing field of study that is essential for any practising statistician and a vital part of the training for students in statistics. Written in a simple style that requires no advanced mathematical or statistical background, the book introduces the general theory of order statistics and their applications. The book covers topics such as distribution theory for order statistics from continuous and discrete populations, moment relations, bounds and approximations, order statistics in statistical inference and characterisation results, and basic asymptotic theory. There is also a short introduction to record values and related statistics. The authors have updated the text with suggestions for further reading that may be used for self-study. Written for advanced undergraduate and graduate students in statistics and mathematics, practising statisticians, engineers, climatologists, economists, and biologists.

A First Course on Parametric Inference

Balvant Keshav Kale
A First Course on Parametric Inference Book PDF

Author : Balvant Keshav Kale
Publisher : Alpha Science Int'l Ltd.
Page : 312 pages
File Size : 45,8 Mb
Release : 2005
Category : Business & Economics
ISBN : 1842652192

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A First Course on Parametric Inference by Balvant Keshav Kale Pdf

"After a brief historical perspective, A First Course on Parametric Inference, discusses the basic concept of sufficient statistic and the classical approach based on minimum variance unbiased estimator. There is a separate chapter on simultaneous estimation of several parameters. Large sample theory of estimation, based on consistent asymptotically normal estimators obtained by method of moments, percentile and the method of maximum likelihood is also introduced. The tests of hypotheses for finite samples with classical Neyman-Pearson theory is developed pointing out its connection with Bayesian approach. The hypotheses testing and confidence interval techniques are developed leading to likelihood ratio tests, score tests and tests based on maximum likelihood estimators."--BOOK JACKET.

A First Course in Bayesian Statistical Methods

Peter D. Hoff
A First Course in Bayesian Statistical Methods Book PDF

Author : Peter D. Hoff
Publisher : Springer Science & Business Media
Page : 271 pages
File Size : 46,9 Mb
Release : 2009-06-02
Category : Mathematics
ISBN : 9780387924076

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A First Course in Bayesian Statistical Methods by Peter D. Hoff Pdf

A self-contained introduction to probability, exchangeability and Bayes’ rule provides a theoretical understanding of the applied material. Numerous examples with R-code that can be run "as-is" allow the reader to perform the data analyses themselves. The development of Monte Carlo and Markov chain Monte Carlo methods in the context of data analysis examples provides motivation for these computational methods.

A First Course in Probability Models and Statistical Inference

James H.C. Creighton
A First Course in Probability Models and Statistical Inference Book PDF

Author : James H.C. Creighton
Publisher : Springer Science & Business Media
Page : 743 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781441985408

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A First Course in Probability Models and Statistical Inference by James H.C. Creighton Pdf

Welcome to new territory: A course in probability models and statistical inference. The concept of probability is not new to you of course. You've encountered it since childhood in games of chance-card games, for example, or games with dice or coins. And you know about the "90% chance of rain" from weather reports. But once you get beyond simple expressions of probability into more subtle analysis, it's new territory. And very foreign territory it is. You must have encountered reports of statistical results in voter sur veys, opinion polls, and other such studies, but how are conclusions from those studies obtained? How can you interview just a few voters the day before an election and still determine fairly closely how HUN DREDS of THOUSANDS of voters will vote? That's statistics. You'll find it very interesting during this first course to see how a properly designed statistical study can achieve so much knowledge from such drastically incomplete information. It really is possible-statistics works! But HOW does it work? By the end of this course you'll have understood that and much more. Welcome to the enchanted forest.

Introductory Statistical Inference

Nitis Mukhopadhyay
Introductory Statistical Inference Book PDF

Author : Nitis Mukhopadhyay
Publisher : CRC Press
Page : 289 pages
File Size : 44,7 Mb
Release : 2006-02-07
Category : Mathematics
ISBN : 9781420017403

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Introductory Statistical Inference by Nitis Mukhopadhyay Pdf

Introductory Statistical Inference develops the concepts and intricacies of statistical inference. With a review of probability concepts, this book discusses topics such as sufficiency, ancillarity, point estimation, minimum variance estimation, confidence intervals, multiple comparisons, and large-sample inference. It introduces techniques of two-stage sampling, fitting a straight line to data, tests of hypotheses, nonparametric methods, and the bootstrap method. It also features worked examples of statistical principles as well as exercises with hints. This text is suited for courses in probability and statistical inference at the upper-level undergraduate and graduate levels.

Statistical Inference

Michael J. Panik
Statistical Inference Book PDF

Author : Michael J. Panik
Publisher : John Wiley & Sons
Page : 294 pages
File Size : 48,9 Mb
Release : 2012-06-06
Category : Mathematics
ISBN : 9781118309803

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Statistical Inference by Michael J. Panik Pdf

A concise, easily accessible introduction to descriptive and inferential techniques Statistical Inference: A Short Course offers a concise presentation of the essentials of basic statistics for readers seeking to acquire a working knowledge of statistical concepts, measures, and procedures. The author conducts tests on the assumption of randomness and normality, provides nonparametric methods when parametric approaches might not work. The book also explores how to determine a confidence interval for a population median while also providing coverage of ratio estimation, randomness, and causality. To ensure a thorough understanding of all key concepts, Statistical Inference provides numerous examples and solutions along with complete and precise answers to many fundamental questions, including: How do we determine that a given dataset is actually a random sample? With what level of precision and reliability can a population sample be estimated? How are probabilities determined and are they the same thing as odds? How can we predict the level of one variable from that of another? What is the strength of the relationship between two variables? The book is organized to present fundamental statistical concepts first, with later chapters exploring more advanced topics and additional statistical tests such as Distributional Hypotheses, Multinomial Chi-Square Statistics, and the Chi-Square Distribution. Each chapter includes appendices and exercises, allowing readers to test their comprehension of the presented material. Statistical Inference: A Short Course is an excellent book for courses on probability, mathematical statistics, and statistical inference at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for researchers and practitioners who would like to develop further insights into essential statistical tools.

A First Course in Statistics

James T. McClave,Terry Sincich
A First Course in Statistics Book PDF

Author : James T. McClave,Terry Sincich
Publisher : Unknown
Page : 0 pages
File Size : 50,9 Mb
Release : 2017
Category : Statistics
ISBN : 0134080629

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A First Course in Statistics by James T. McClave,Terry Sincich Pdf

For courses in introductory statistics. A Contemporary Classic Classic, yet contemporary; theoretical, yet applied-McClave & Sincich's A First Course in Statistics gives you the best of both worlds. This text offers a trusted, comprehensive introduction to statistics that emphasizes inference and integrates real data throughout. The authors stress the development of statistical thinking, the assessment of credibility, and value of the inferences made from data. This new edition is extensively revised with an eye on clearer, more concise language throughout the text and in the exercises. Ideal for one- or two-semester courses in introductory statistics, this text assumes a mathematical background of basic algebra. Flexibility is built in for instructors who teach a more advanced course, with optional footnotes about calculus and the underlying theory. Also available with MyStatLab MyStatLab(tm) is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. For this edition, MyStatLab offers 30% new and updated exercises. Note: You are purchasing a standalone product; MyLab(tm) & Mastering(tm) does not come packaged with this content. Students, if interested in purchasing this title with MyLab & Mastering, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab & Mastering, search for: 0134090438 / 9780134090436 * Statistics Plus New MyStatLab with Pearson eText -- Access Card Package Package consists of: 0134080211 / 9780134080215 * Statistics 0321847997 / 9780321847997 * My StatLab Glue-in Access Card 032184839X / 9780321848390 * MyStatLab Inside Sticker for Glue-In Packages

A First Course Mathematical Statistics

C. E. Weatherburn
A First Course Mathematical Statistics Book PDF

Author : C. E. Weatherburn
Publisher : CUP Archive
Page : 302 pages
File Size : 46,9 Mb
Release : 1949-01-02
Category : Mathematics
ISBN : 0521091586

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A First Course Mathematical Statistics by C. E. Weatherburn Pdf

This book provides the mathematical foundations of statistics. Its aim is to explain the principles, to prove the formulae to give validity to the methods employed in the interpretation of statistical data. Many examples are included but, since the primary emphasis is on the underlying theory, it is of interest to students of a wide variety of subjects: biology, psychology, agriculture, economics, physics, chemistry, and (of course) mathematics.

Statistical Inference via Data Science: A ModernDive into R and the Tidyverse

Chester Ismay,Albert Y. Kim
Statistical Inference via Data Science A ModernDive into R and the Tidyverse Book PDF

Author : Chester Ismay,Albert Y. Kim
Publisher : CRC Press
Page : 461 pages
File Size : 42,8 Mb
Release : 2019-12-23
Category : Mathematics
ISBN : 9781000763461

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Statistical Inference via Data Science: A ModernDive into R and the Tidyverse by Chester Ismay,Albert Y. Kim Pdf

Statistical Inference via Data Science: A ModernDive into R and the Tidyverse provides a pathway for learning about statistical inference using data science tools widely used in industry, academia, and government. It introduces the tidyverse suite of R packages, including the ggplot2 package for data visualization, and the dplyr package for data wrangling. After equipping readers with just enough of these data science tools to perform effective exploratory data analyses, the book covers traditional introductory statistics topics like confidence intervals, hypothesis testing, and multiple regression modeling, while focusing on visualization throughout. Features: ● Assumes minimal prerequisites, notably, no prior calculus nor coding experience ● Motivates theory using real-world data, including all domestic flights leaving New York City in 2013, the Gapminder project, and the data journalism website, FiveThirtyEight.com ● Centers on simulation-based approaches to statistical inference rather than mathematical formulas ● Uses the infer package for "tidy" and transparent statistical inference to construct confidence intervals and conduct hypothesis tests via the bootstrap and permutation methods ● Provides all code and output embedded directly in the text; also available in the online version at moderndive.com This book is intended for individuals who would like to simultaneously start developing their data science toolbox and start learning about the inferential and modeling tools used in much of modern-day research. The book can be used in methods and data science courses and first courses in statistics, at both the undergraduate and graduate levels.

Statistical Inference

Robert B. Ash
Statistical Inference Book PDF

Author : Robert B. Ash
Publisher : Courier Corporation
Page : 132 pages
File Size : 49,8 Mb
Release : 2011-01-01
Category : Mathematics
ISBN : 9780486481586

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Statistical Inference by Robert B. Ash Pdf

This book offers a brief course in statistical inference that requires only a basic familiarity with probability and matrix and linear algebra. Ninety problems with solutions make it an ideal choice for self-study as well as a helpful review of a wide-ranging topic with important uses to professionals in business, government, public administration, and other fields. 2011 edition.