A First Course In Probability Models And Statistical Inference


A First Course In Probability Models And Statistical Inference
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A First Course In Probability Models And Statistical Inference


A First Course In Probability Models And Statistical Inference
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Author : James H.C. Creighton
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

A First Course In Probability Models And Statistical Inference written by James H.C. Creighton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


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.



A First Course In Probability Models And Statistical Inference


A First Course In Probability Models And Statistical Inference
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Author :
language : en
Publisher: Springer
Release Date : 2012-11-05

A First Course In Probability Models And Statistical Inference written by and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-05 with categories.




Probability And Statistical Inference


Probability And Statistical Inference
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Author : Miltiadis C. Mavrakakis
language : en
Publisher: CRC Press
Release Date : 2021-03-28

Probability And Statistical Inference written by Miltiadis C. Mavrakakis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-28 with Mathematics categories.


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 statistical methods used in their fields.



A First Course In Statistical Inference


A First Course In Statistical Inference
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Author : Jonathan Gillard
language : en
Publisher: Springer Nature
Release Date : 2020-04-20

A First Course In Statistical Inference written by Jonathan Gillard and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-20 with Mathematics categories.


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 Course In Stochastic Processes


A Course In Stochastic Processes
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Author : Denis Bosq
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

A Course In Stochastic Processes written by Denis Bosq and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.


This text is an Elementary Introduction to Stochastic Processes in discrete and continuous time with an initiation of the statistical inference. The material is standard and classical for a first course in Stochastic Processes at the senior/graduate level (lessons 1-12). To provide students with a view of statistics of stochastic processes, three lessons (13-15) were added. These lessons can be either optional or serve as an introduction to statistical inference with dependent observations. Several points of this text need to be elaborated, (1) The pedagogy is somewhat obvious. Since this text is designed for a one semester course, each lesson can be covered in one week or so. Having in mind a mixed audience of students from different departments (Math ematics, Statistics, Economics, Engineering, etc.) we have presented the material in each lesson in the most simple way, with emphasis on moti vation of concepts, aspects of applications and computational procedures. Basically, we try to explain to beginners questions such as "What is the topic in this lesson?" "Why this topic?", "How to study this topic math ematically?". The exercises at the end of each lesson will deepen the stu dents' understanding of the material, and test their ability to carry out basic computations. Exercises with an asterisk are optional (difficult) and might not be suitable for homework, but should provide food for thought.



A First Course In Probability


A First Course In Probability
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Author : Sheldon M. Ross
language : en
Publisher: Prentice Hall
Release Date : 2010

A First Course In Probability written by Sheldon M. Ross and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.


This title features clear and intuitive explanations of the mathematics of probability theory, outstanding problem sets, and a variety of diverse examples and applications.



Probability And Statistical Inference


Probability And Statistical Inference
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Author : J.G. Kalbfleisch
language : en
Publisher: Springer
Release Date : 2012-08-14

Probability And Statistical Inference written by J.G. Kalbfleisch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-14 with Mathematics categories.


This book is in two volumes, and is intended as a text for introductory courses in probability and statistics at the second or third year university level. It em phasizes applications and logical principles rather than mathematical theory. A good background in freshman calculus is sufficient for most of the material presented. Several starred sections have been included as supplementary material. Nearly 900 problems and exercises of varying difficulty are given, and Appendix A contains answers to about one-third of them. The first volume (Chapters 1-8) deals with probability models and with math ematical methods for describing and manipulating them. It is similar in content and organization to the 1979 edition. Some sections have been rewritten and expanded-for example, the discussions of independent random variables and conditional probability. Many new exercises have been added. In the second volume (Chapters 9-16), probability models are used as the basis for the analysis and interpretation of data. This material has been revised extensively. Chapters 9 and 10 describe the use of the likelihood function in estimation problems, as in the 1979 edition. Chapter 11 then discusses frequency properties of estimation procedures, and introduces coverage probability and confidence intervals. Chapter 12 describes tests of significance, with applications primarily to frequency data. The likelihood ratio statistic is used to unify the material on testing, and connect it with earlier material on estimation.



Probability And Statistical Inference


Probability And Statistical Inference
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Author : J. G. Kalbfleisch
language : en
Publisher: Springer
Release Date : 1979-12-20

Probability And Statistical Inference written by J. G. Kalbfleisch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-12-20 with Mathematics categories.


This book is intended as a text for an introductory course in probability and statistics at the second or third year university level. It emphasizes applications and logical principles rather than mathematical theory. A good background in freshman calcuius is suf ficient for most of the material presented. The book is in two parts. The first part (Chapters 1 - 8) deals with probability models and with mathematical methods for hand ling them. in the second part (Chapters 9 - 16), probability models are used as the basis for the analysis and interpretation of data. Several starred sections have been included as supplementary material. A large supply of practice problems is provided, and Appendix A con tains answers to about one-third of these. Computers and sophisticated pocket calculators are having a profound effect on statistical practice. Not only can the same ari thmetic be done in a fraction of the time, but more importantly, statistical methods which were previously not feasible because of the amount of calculation required now present no difficulties. In par ticular, the likelihood function itself and procedures closely related to it now give simple and immediate solutions to problems which twenty years ago would have required complicated approximate solutions of doubtful accuracy. One reason for writing this book was to draw at tention to these useful methods.



Fundamentals Of Probability A First Course


Fundamentals Of Probability A First Course
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Author : Anirban DasGupta
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-02

Fundamentals Of Probability A First Course written by Anirban DasGupta and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-02 with Mathematics categories.


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.



Statistics For Mathematicians


Statistics For Mathematicians
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Author : Victor M. Panaretos
language : en
Publisher: Birkhäuser
Release Date : 2016-06-01

Statistics For Mathematicians written by Victor M. Panaretos and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-01 with Mathematics categories.


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.