Fundamentals of Statistics

Fundamentals of Statistics
Author: H. Mulholland,C. R. Jones
Publsiher: Butterworth-Heinemann
Total Pages: 301
Release: 2014-05-20
Genre: Mathematics
ISBN: 9781483106045

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Fundamentals of Statistics covers topics on the introduction, fundamentals, and science of statistics. The book discusses the collection, organization and representation of numerical data; elementary probability; the binomial Poisson distributions; and the measures of central tendency. The text describes measures of dispersion for measuring the spread of a distribution; continuous distributions for measuring on a continuous scale; the properties and use of normal distribution; and tests involving the normal or student's ‘t’ distributions. The use of control charts for sample means; the ranges and fraction defective; the chi-squared distribution; the F distribution; and the bivariate distributions are also considered. The book deals with the idea of mathematical expectation and its relationship with mean, variance, and covariance, as well as weighted averages, death rates, and time series. Students studying for advanced level education or higher national certificates in Mechanical or Electrical Engineering, Mathematics, Chemistry, Biology, or Pharmacy, as well as university students taking such courses will find the book invaluable.

Fundamentals of Mathematical Statistics

Fundamentals of Mathematical Statistics
Author: S.C. Gupta,V.K. Kapoor
Publsiher: Sultan Chand & Sons
Total Pages: 1344
Release: 2020-09-10
Genre: Mathematics
ISBN: 9789351611738

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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

Foundations of Statistics

Foundations of Statistics
Author: D.G. Rees
Publsiher: CRC Press
Total Pages: 560
Release: 1987-09-01
Genre: Mathematics
ISBN: 0412285606

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This text provides a through, straightforward first course on basics statistics. Emphasizing the application of theory, it contains 200 fully worked examples and supplies exercises in each chapter-complete with hints and answers.

Fundamentals of Statistics

Fundamentals of Statistics
Author: Michael Sullivan III
Publsiher: Pearson
Total Pages: 688
Release: 2015-10-28
Genre: Mathematics
ISBN: 9780321947208

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This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Drawing upon his passion for statistics and teaching, Mike Sullivan addresses the needs of today’s students, the challenges teachers face, and changes in the statistics community. With feedback from his own students and classroom experience, Fundamentals of Statistics provides the tools to help students learn better and think statistically in a concise, friendly presentation. The CD conatins all the student supplement content , the data sets, graphing calculator manual, excel manual, a PDF of the Formula and Table card from the back of the book, and a guide to using statcrunch with the title. Note: This is just the standalone book and CD, it does not come with an Access Card. If an Access Card is required ask your instructor for the ISBN of the package which would include the Book & CD plus the Access Card..

Fundamentals of High Dimensional Statistics

Fundamentals of High Dimensional Statistics
Author: Johannes Lederer
Publsiher: Springer Nature
Total Pages: 355
Release: 2021-11-16
Genre: Mathematics
ISBN: 9783030737924

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This textbook provides a step-by-step introduction to the tools and principles of high-dimensional statistics. Each chapter is complemented by numerous exercises, many of them with detailed solutions, and computer labs in R that convey valuable practical insights. The book covers the theory and practice of high-dimensional linear regression, graphical models, and inference, ensuring readers have a smooth start in the field. It also offers suggestions for further reading. Given its scope, the textbook is intended for beginning graduate and advanced undergraduate students in statistics, biostatistics, and bioinformatics, though it will be equally useful to a broader audience.

Fundamentals of Mathematical Statistics

Fundamentals of Mathematical Statistics
Author: Hung T. Nguyen,Gerald S. Rogers
Publsiher: Springer Science & Business Media
Total Pages: 432
Release: 2012-12-06
Genre: Mathematics
ISBN: 9781461210139

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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 Modern Statistical Methods

Fundamentals of Modern Statistical Methods
Author: Rand R. Wilcox
Publsiher: Springer Science & Business Media
Total Pages: 249
Release: 2010-03-18
Genre: Social Science
ISBN: 9781441955241

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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 Descriptive Statistics

Fundamentals of Descriptive Statistics
Author: Zealure C Holcomb
Publsiher: Routledge
Total Pages: 98
Release: 2016-09-13
Genre: Psychology
ISBN: 9781351970327

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• Do your students need to organize and summarize data for term projects? Will they need to perform these tasks on the job? This book gives them thorough preparation. • In twelve short chapters, your students will learn the purposes of descriptive statistics, their calculation, and proper interpretation. • Actual data on the emotional health of foster-care adolescents are used throughout the book to illustrate various ways of deriving meaning from the data with descriptive statistics. Other interesting examples are also included. • Computational procedures are illustrated with step-by-step, easy-to-follow examples. • End-of-chapter exercises provide ample practice for students to master both computations and statistical concepts. • Eliminates the need for students to buy a traditional statistics book that emphasizes inferential statistics. • Thoroughly field-tested for student comprehension. • The answer key makes it easy for you to start using this book right away. • This book will please you and your students with its clarity of presentation. • Outstanding supplement for students who need to describe term project data.

The R Software

The R Software
Author: Pierre Lafaye de Micheaux,Rémy Drouilhet,Benoit Liquet
Publsiher: Springer Science & Business
Total Pages: 628
Release: 2014-05-13
Genre: Computers
ISBN: 9781461490203

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The contents of The R Software are presented so as to be both comprehensive and easy for the reader to use. Besides its application as a self-learning text, this book can support lectures on R at any level from beginner to advanced. This book can serve as a textbook on R for beginners as well as more advanced users, working on Windows, MacOs or Linux OSes. The first part of the book deals with the heart of the R language and its fundamental concepts, including data organization, import and export, various manipulations, documentation, plots, programming and maintenance. The last chapter in this part deals with oriented object programming as well as interfacing R with C/C++ or Fortran, and contains a section on debugging techniques. This is followed by the second part of the book, which provides detailed explanations on how to perform many standard statistical analyses, mainly in the Biostatistics field. Topics from mathematical and statistical settings that are included are matrix operations, integration, optimization, descriptive statistics, simulations, confidence intervals and hypothesis testing, simple and multiple linear regression, and analysis of variance. Each statistical chapter in the second part relies on one or more real biomedical data sets, kindly made available by the Bordeaux School of Public Health (Institut de Santé Publique, d'Épidémiologie et de Développement - ISPED) and described at the beginning of the book. Each chapter ends with an assessment section: memorandum of most important terms, followed by a section of theoretical exercises (to be done on paper), which can be used as questions for a test. Moreover, worksheets enable the reader to check his new abilities in R. Solutions to all exercises and worksheets are included in this book.

Fundamentals of Statistical Experimental Design and Analysis

Fundamentals of Statistical Experimental Design and Analysis
Author: Robert G. Easterling
Publsiher: John Wiley & Sons
Total Pages: 272
Release: 2015-10-23
Genre: Mathematics
ISBN: 9781118954652

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Professionals in all areas – business; government; thephysical, life, and social sciences; engineering; medicine, etc.– benefit from using statistical experimental design tobetter understand their worlds and then use that understanding toimprove the products, processes, and programs they are responsiblefor. This book aims to provide the practitioners of tomorrow with amemorable, easy to read, engaging guide to statistics andexperimental design. This book uses examples, drawn from a variety of established texts,and embeds them in a business or scientific context, seasoned witha dash of humor, to emphasize the issues and ideas that led to theexperiment and the what-do-we-do-next? steps after theexperiment. Graphical data displays are emphasized as means ofdiscovery and communication and formulas are minimized, with afocus on interpreting the results that software produce. The roleof subject-matter knowledge, and passion, is also illustrated. Theexamples do not require specialized knowledge, and the lessons theycontain are transferrable to other contexts. Fundamentals of Statistical Experimental Design and Analysisintroduces the basic elements of an experimental design, and thebasic concepts underlying statistical analyses. Subsequent chaptersaddress the following families of experimental designs: Completely Randomized designs, with single or multipletreatment factors, quantitative or qualitative Randomized Block designs Latin Square designs Split-Unit designs Repeated Measures designs Robust designs Optimal designs Written in an accessible, student-friendly style, this book issuitable for a general audience and particularly for thoseprofessionals seeking to improve and apply their understanding ofexperimental design.

Fundamentals of Statistics with Fuzzy Data

Fundamentals of Statistics with Fuzzy Data
Author: Hung T. Nguyen,Berlin Wu
Publsiher: Springer
Total Pages: 195
Release: 2010-11-30
Genre: Mathematics
ISBN: 364206857X

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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.

Statistics Fundamentals Succinctly

Statistics Fundamentals Succinctly
Author: Katie Kormanik
Publsiher: Createspace Independent Publishing Platform
Total Pages: 104
Release: 2017-02-01
Genre: Electronic Book
ISBN: 1542809495

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Statistics is the foundation of intelligent data analysis. Statistics Fundamentals Succinctly by Katie Kormanik provides the foundational bricks and mortar needed to master the theories and methodologies behind statistical procedures. In less than 100 pages, you'll understand how to better gather and interpret all the information at your fingertips.

Fundamentals of Statistical Hydrology

Fundamentals of Statistical Hydrology
Author: Mauro Naghettini
Publsiher: Springer
Total Pages: 660
Release: 2016-10-26
Genre: Science
ISBN: 9783319435619

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This textbook covers the main applications of statistical methods in hydrology. It is written for upper undergraduate and graduate students but can be used as a helpful guide for hydrologists, geographers, meteorologists and engineers. The book is very useful for teaching, as it covers the main topics of the subject and contains many worked out examples and proposed exercises. Starting from simple notions of the essential graphical examination of hydrological data, the book gives a complete account of the role that probability considerations must play during modelling, diagnosis of model fit, prediction and evaluating the uncertainty in model predictions, including the essence of Bayesian application in hydrology and statistical methods under nonstationarity. The book also offers a comprehensive and useful discussion on subjective topics, such as the selection of probability distributions suitable for hydrological variables. On a practical level, it explains MS Excel charting and computing capabilities, demonstrates the use of Winbugs free software to solve Monte Carlo Markov Chain (MCMC) simulations, and gives examples of free R code to solve nonstationary models with nonlinear link functions with climate covariates.

Statistics for Beginners

Statistics for Beginners
Author: Matt Foster
Publsiher: Independently Published
Total Pages: 142
Release: 2020
Genre: Electronic Book
ISBN: 1654173320

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Become a Professional at Statistical Analysis and Data Science! Would you like to have the ability to implement statistical methods to your business, draw conclusions and make correct decisions based on them? Statistics play an important role in any industry and business. That's why there's a huge market for individuals who know how to conduct statistical analysis. People who have mastered this skill are considered the modern-day fortune tellers. Their abilities allow them to predict future business trends, market demands, profitability, general market risks, and sales volume! It's easy to get lost in the amount of available sources if you're only getting started. Conducting statistical analysis can be challenging for someone who was never properly introduced to the subject. This guide will help you, whether you're an absolute beginner to data science or an experienced data scientist who wants to learn new skills. Here, Matt Foster will teach you how to process data, predict outcomes, and upgrade your company's operations in the long term. Here's what you'll be able to do after reading this book: Understand and use descriptive statistics Use predictive analytics techniques to turn data into valuable information Use different learning algorithms to optimize your efficiency Analyze past data to predict future trends Integrate data from different sources to conduct a full analysis Use Python for files manipulation and handling Conduct data mining and social media analysis Master Python and PHP languages And so much more! If you're determined to learn statistical analysis, but intimidated by the huge amount of information and unfamiliar terminology, this guide will show you that you don't have to own a degree in data or computer science in order to develop this skill. All you need is this instruction manual, written in a clear, understandable way. The mechanisms are thoroughly explained and the step-by-step methods will help you conquer the world of descriptive statistics. If you want to learn how to conduct statistical analysis and implement it in your business, then Scroll up, click on "Buy Now with 1-Click", and Get Your Copy Now!

Fundamentals of Probability A First Course

Fundamentals of Probability  A First Course
Author: Anirban DasGupta
Publsiher: Springer Science & Business Media
Total Pages: 450
Release: 2010-04-02
Genre: Mathematics
ISBN: 9781441957801

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Probability theory is one branch of mathematics that is simultaneously deep and immediately applicable in diverse areas of human endeavor. It is as fundamental as calculus. Calculus explains the external world, and probability theory helps predict a lot of it. In addition, problems in probability theory have an innate appeal, and the answers are often structured and strikingly beautiful. A solid background in probability theory and probability models will become increasingly more useful in the twenty-?rst century, as dif?cult new problems emerge, that will require more sophisticated models and analysis. Thisisa text onthe fundamentalsof thetheoryofprobabilityat anundergraduate or ?rst-year graduate level for students in science, engineering,and economics. The only mathematical background required is knowledge of univariate and multiva- ate calculus and basic linear algebra. The book covers all of the standard topics in basic probability, such as combinatorial probability, discrete and continuous distributions, moment generating functions, fundamental probability inequalities, the central limit theorem, and joint and conditional distributions of discrete and continuous random variables. But it also has some unique features and a forwa- looking feel.