An Introduction to Probability and Statistical Inference Book
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An Introduction to Probability and Statistical Inference


  • Author : George G. Roussas
  • Publisher : Academic Press
  • Release Date : 2014-10-21
  • Genre: Mathematics
  • Pages : 624
  • ISBN 10 : 9780128004371

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An Introduction to Probability and Statistical Inference Excerpt :

An Introduction to Probability and Statistical Inference, Second Edition, guides you through probability models and statistical methods and helps you to think critically about various concepts. Written by award-winning author George Roussas, this book introduces readers with no prior knowledge in probability or statistics to a thinking process to help them obtain the best solution to a posed question or situation. It provides a plethora of examples for each topic discussed, giving the reader more experience in applying statistical methods to different situations. This text contains an enhanced number of exercises and graphical illustrations where appropriate to motivate the reader and demonstrate the applicability of probability and statistical inference in a great variety of human activities. Reorganized material is included in the statistical portion of the book to ensure continuity and enhance understanding. Each section includes relevant proofs where appropriate, followed by exercises with useful clues to their solutions. Furthermore, there are brief answers to even-numbered exercises at the back of the book and detailed solutions to all exercises are available to instructors in an Answers Manual. This text will appeal to advanced undergraduate and graduate students, as well as researchers and practitioners in engineering, business, social sciences or agriculture. Content, examples, an enhanced number of exercises, and graphical illustrations where appropriate to motivate the reader and demonstrate the applicability of probability and statistical inference in a great variety of human activities Reorganized material in the statistical portion of the book to ensure continuity and enhance understanding A relatively rigorous, yet accessible and always within the prescribed prerequisites, mathematical discussion of probability theory and statistical inference important to students in a broad variety of disciplines Relevant proofs where appropriate in each section, fo

Probability and Statistical Inference Book

Probability and Statistical Inference


  • Author : Robert Bartoszynski
  • Publisher : John Wiley & Sons
  • Release Date : 2020-12-09
  • Genre: Mathematics
  • Pages : 592
  • ISBN 10 : 9781119243823

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Probability and Statistical Inference Excerpt :

Updated classic statistics text, with new problems and examples Probability and Statistical Inference, Third Edition helps students grasp essential concepts of statistics and its probabilistic foundations. This book focuses on the development of intuition and understanding in the subject through a wealth of examples illustrating concepts, theorems, and methods. The reader will recognize and fully understand the why and not just the how behind the introduced material. In this Third Edition, the reader will find a new chapter on Bayesian statistics, 70 new problems and an appendix with the supporting R code. This book is suitable for upper-level undergraduates or first-year graduate students studying statistics or related disciplines, such as mathematics or engineering. This Third Edition: Introduces an all-new chapter on Bayesian statistics and offers thorough explanations of advanced statistics and probability topics Includes 650 problems and over 400 examples - an excellent resource for the mathematical statistics class sequence in the increasingly popular "flipped classroom" format Offers students in statistics, mathematics, engineering and related fields a user-friendly resource Provides practicing professionals valuable insight into statistical tools Probability and Statistical Inference offers a unique approach to problems that allows the reader to fully integrate the knowledge gained from the text, thus, enhancing a more complete and honest understanding of the topic.

An Introduction to Probability and Statistics Book

An Introduction to Probability and Statistics


  • Author : Vijay K. Rohatgi
  • Publisher : John Wiley & Sons
  • Release Date : 2015-09-01
  • Genre: Mathematics
  • Pages : 728
  • ISBN 10 : 9781118799659

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An Introduction to Probability and Statistics Excerpt :

A well-balanced introduction to probability theory and mathematical statistics Featuring updated material, An Introduction to Probability and Statistics, Third Edition remains a solid overview to probability theory and mathematical statistics. Divided intothree parts, the Third Edition begins by presenting the fundamentals and foundationsof probability. The second part addresses statistical inference, and the remainingchapters focus on special topics. An Introduction to Probability and Statistics, Third Edition includes: A new section on regression analysis to include multiple regression, logistic regression, and Poisson regression A reorganized chapter on large sample theory to emphasize the growing role of asymptotic statistics Additional topical coverage on bootstrapping, estimation procedures, and resampling Discussions on invariance, ancillary statistics, conjugate prior distributions, and invariant confidence intervals Over 550 problems and answers to most problems, as well as 350 worked out examples and 200 remarks Numerous figures to further illustrate examples and proofs throughout An Introduction to Probability and Statistics, Third Edition is an ideal reference and resource for scientists and engineers in the fields of statistics, mathematics, physics, industrial management, and engineering. The book is also an excellent text for upper-undergraduate and graduate-level students majoring in probability and statistics.

Probability and Statistical Inference Book

Probability and Statistical Inference


  • Author : Miltiadis C. Mavrakakis
  • Publisher : CRC Press
  • Release Date : 2021-03-29
  • Genre: Mathematics
  • Pages : 444
  • ISBN 10 : 9781315362045

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Probability and Statistical Inference Excerpt :

Probability and Statistical Inference: From Basic Principles to Advanced Models covers aspects of probability, distribution theory, and inference that are fundamental to a proper understanding of data analysis and statistical modelling. It presents these topics in an accessible manner without sacrificing mathematical rigour, bridging the gap between the many excellent introductory books and the more advanced, graduate-level texts. The book introduces and explores techniques that are relevant to modern practitioners, while being respectful to the history of statistical inference. It seeks to provide a thorough grounding in both the theory and application of statistics, with even the more abstract parts placed in the context of a practical setting. Features: •Complete introduction to mathematical probability, random variables, and distribution theory. •Concise but broad account of statistical modelling, covering topics such as generalised linear models, survival analysis, time series, and random processes. •Extensive discussion of the key concepts in classical statistics (point estimation, interval estimation, hypothesis testing) and the main techniques in likelihood-based inference. •Detailed introduction to Bayesian statistics and associated topics. •Practical illustration of some of the main computational methods used in modern statistical inference (simulation, boostrap, MCMC). This book is for students who have already completed a first course in probability and statistics, and now wish to deepen and broaden their understanding of the subject. It can serve as a foundation for advanced undergraduate or postgraduate courses. Our aim is to challenge and excite the more mathematically able students, while providing explanations of statistical concepts that are more detailed and approachable than those in advanced texts. This book is also useful for data scientists, researchers, and other applied practitioners who want to understand the theory behind the sta

Probability and Statistical Inference Book

Probability and Statistical Inference


  • Author : Nitis Mukhopadhyay
  • Publisher : CRC Press
  • Release Date : 2020-08-30
  • Genre: Mathematics
  • Pages : 665
  • ISBN 10 : 9781000291551

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Probability and Statistical Inference Excerpt :

Priced very competitively compared with other textbooks at this level! This gracefully organized textbook reveals the rigorous theory of probability and statistical inference in the style of a tutorial, using worked examples, exercises, numerous figures and tables, and computer simulations to develop and illustrate concepts. Beginning wi

Introduction to Probability Book

Introduction to Probability


  • Author : George G. Roussas
  • Publisher : Academic Press
  • Release Date : 2013-11-27
  • Genre: Mathematics
  • Pages : 546
  • ISBN 10 : 9780128001981

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Introduction to Probability Excerpt :

Introduction to Probability, Second Edition, discusses probability theory in a mathematically rigorous, yet accessible way. This one-semester basic probability textbook explains important concepts of probability while providing useful exercises and examples of real world applications for students to consider. This edition demonstrates the applicability of probability to many human activities with examples and illustrations. After introducing fundamental probability concepts, the book proceeds to topics including conditional probability and independence; numerical characteristics of a random variable; special distributions; joint probability density function of two random variables and related quantities; joint moment generating function, covariance and correlation coefficient of two random variables; transformation of random variables; the Weak Law of Large Numbers; the Central Limit Theorem; and statistical inference. Each section provides relevant proofs, followed by exercises and useful hints. Answers to even-numbered exercises are given and detailed answers to all exercises are available to instructors on the book companion site. This book will be of interest to upper level undergraduate students and graduate level students in statistics, mathematics, engineering, computer science, operations research, actuarial science, biological sciences, economics, physics, and some of the social sciences. Demonstrates the applicability of probability to many human activities with examples and illustrations Discusses probability theory in a mathematically rigorous, yet accessible way Each section provides relevant proofs, and is followed by exercises and useful hints Answers to even-numbered exercises are provided and detailed answers to all exercises are available to instructors on the book companion site

Introduction to Probability Theory and Statistical Inference Book

Introduction to Probability Theory and Statistical Inference


  • Author : Harold J. Larson
  • Publisher : John Wiley & Sons Incorporated
  • Release Date : 1982-05-05
  • Genre: Mathematics
  • Pages : 664
  • ISBN 10 : CORNELL:31924001937600

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Introduction to Probability Theory and Statistical Inference Excerpt :

Discusses probability theory and to many methods used in problems of statistical inference. The Third Edition features material on descriptive statistics. Cramer-Rao bounds for variance of estimators, two-sample inference procedures, bivariate normal probability law, F-Distribution, and the analysis of variance and non-parametric procedures. Contains numerous practical examples and exercises.

Introduction to Statistical Inference Book

Introduction to Statistical Inference


  • Author : Jack C. Kiefer
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Mathematics
  • Pages : 334
  • ISBN 10 : 9781461395782

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Introduction to Statistical Inference Excerpt :

This book is based upon lecture notes developed by Jack Kiefer for a course in statistical inference he taught at Cornell University. The notes were distributed to the class in lieu of a textbook, and the problems were used for homework assignments. Relying only on modest prerequisites of probability theory and cal culus, Kiefer's approach to a first course in statistics is to present the central ideas of the modem mathematical theory with a minimum of fuss and formality. He is able to do this by using a rich mixture of examples, pictures, and math ematical derivations to complement a clear and logical discussion of the important ideas in plain English. The straightforwardness of Kiefer's presentation is remarkable in view of the sophistication and depth of his examination of the major theme: How should an intelligent person formulate a statistical problem and choose a statistical procedure to apply to it? Kiefer's view, in the same spirit as Neyman and Wald, is that one should try to assess the consequences of a statistical choice in some quan titative (frequentist) formulation and ought to choose a course of action that is verifiably optimal (or nearly so) without regard to the perceived "attractiveness" of certain dogmas and methods.

Introduction to Probability and Statistics Book

Introduction to Probability and Statistics


  • Author : Giri
  • Publisher : Routledge
  • Release Date : 2019-01-22
  • Genre: Mathematics
  • Pages : 236
  • ISBN 10 : 9781351436694

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Introduction to Probability and Statistics Excerpt :

Beginning with the historical background of probability theory, this thoroughly revised text examines all important aspects of mathematical probability - including random variables, probability distributions, characteristic and generating functions, stochatic convergence, and limit theorems - and provides an introduction to various types of statistical problems, covering the broad range of statistical inference.;Requiring a prerequisite in calculus for complete understanding of the topics discussed, the Second Edition contains new material on: univariate distributions; multivariate distributions; large-sample methods; decision theory; and applications of ANOVA.;A primary text for a year-long undergraduate course in statistics (but easily adapted for a one-semester course in probability only), Introduction to Probability and Statistics is for undergraduate students in a wide range of disciplines-statistics, probability, mathematics, social science, economics, engineering, agriculture, biometry, and education.

Probability and Statistical Inference Book

Probability and Statistical Inference


  • Author : J.G. Kalbfleisch
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Mathematics
  • Pages : 343
  • ISBN 10 : 9781461210962

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Probability and Statistical Inference Excerpt :

A carefully written text, suitable as an introductory course for second or third year students. The main scope of the text guides students towards a critical understanding and handling of data sets together with the ensuing testing of hypotheses. This approach distinguishes it from many other texts using statistical decision theory as their underlying philosophy. This volume covers concepts from probability theory, backed by numerous problems with selected answers.

Introductory Statistical Inference Book

Introductory Statistical Inference


  • Author : Nitis Mukhopadhyay
  • Publisher : CRC Press
  • Release Date : 2006-02-07
  • Genre: Mathematics
  • Pages : 304
  • ISBN 10 : 9781420017403

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Introductory Statistical Inference Excerpt :

This gracefully organized text reveals the rigorous theory of probability and statistical inference in the style of a tutorial, using worked examples, exercises, figures, tables, and computer simulations to develop and illustrate concepts. Drills and boxed summaries emphasize and reinforce important ideas and special techniques. Beginning wi

An Introduction to Statistical Inference and Its Applications with R Book

An Introduction to Statistical Inference and Its Applications with R


  • Author : Michael W. Trosset
  • Publisher : CRC Press
  • Release Date : 2009-06-23
  • Genre: Mathematics
  • Pages : 496
  • ISBN 10 : 9781584889489

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An Introduction to Statistical Inference and Its Applications with R Excerpt :

Emphasizing concepts rather than recipes, An Introduction to Statistical Inference and Its Applications with R provides a clear exposition of the methods of statistical inference for students who are comfortable with mathematical notation. Numerous examples, case studies, and exercises are included. R is used to simplify computation, create figures

A Concise Introduction to Statistical Inference Book

A Concise Introduction to Statistical Inference


  • Author : Jacco Thijssen
  • Publisher : CRC Press
  • Release Date : 2016-11-25
  • Genre: Mathematics
  • Pages : 212
  • ISBN 10 : 9781498755788

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A Concise Introduction to Statistical Inference Excerpt :

This short book introduces the main ideas of statistical inference in a way that is both user friendly and mathematically sound. Particular emphasis is placed on the common foundation of many models used in practice. In addition, the book focuses on the formulation of appropriate statistical models to study problems in business, economics, and the social sciences, as well as on how to interpret the results from statistical analyses. The book will be useful to students who are interested in rigorous applications of statistics to problems in business, economics and the social sciences, as well as students who have studied statistics in the past, but need a more solid grounding in statistical techniques to further their careers. Jacco Thijssen is professor of finance at the University of York, UK. He holds a PhD in mathematical economics from Tilburg University, Netherlands. His main research interests are in applications of optimal stopping theory, stochastic calculus, and game theory to problems in economics and finance. Professor Thijssen has earned several awards for his statistics teaching.

Probability Theory and Statistical Inference Book

Probability Theory and Statistical Inference


  • Author : Aris Spanos
  • Publisher : Cambridge University Press
  • Release Date : 2019-09-19
  • Genre: Business & Economics
  • Pages : 787
  • ISBN 10 : 9781107185142

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Probability Theory and Statistical Inference Excerpt :

This empirical research methods course enables informed implementation of statistical procedures, giving rise to trustworthy evidence.