Probability 1

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Probability 1

Amir D. Aczel
Probability 1 Book PDF

Author : Amir D. Aczel
Publisher : Unknown
Page : 230 pages
File Size : 52,9 Mb
Release : 2000
Category : Biology
ISBN : 0349112479

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Probability 1 by Amir D. Aczel Pdf

At one level, this book surveys recent findings about the existence of planets orbiting other sun-like stars, such as 51 Pegasi (discovered in 1995) and Tau Bootis. It addresses questions such as what life is and what intelligent life is, as well as theories about how life evolved on Earth from basic molecules into more complex organic compounds leading to DNA. The existence of similar molecules on other planets in our solar system, as well as in meteorites that land on Earth every year, is used in an argument for the evolution of such compounds - the building blocks of life - outside Earth. At the same time, the author applies the laws of large numbers to the immense size of the known universe, with its billions of galaxies, each containing many billions of stars, to argue the probability that there is life elsewhere.

Probability-1

Albert N. Shiryaev
Probability 1 Book PDF

Author : Albert N. Shiryaev
Publisher : Springer
Page : 486 pages
File Size : 45,7 Mb
Release : 2016-07-08
Category : Mathematics
ISBN : 9780387722061

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Probability-1 by Albert N. Shiryaev Pdf

Advanced maths students have been waiting for this, the third edition of a text that deals with one of the fundamentals of their field. This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks and the Kalman-Bucy filter. Examples are discussed in detail, and there are a large number of exercises. This third edition contains new problems and exercises, new proofs, expanded material on financial mathematics, financial engineering, and mathematical statistics, and a final chapter on the history of probability theory.

Probability: A Graduate Course

Allan Gut
Probability A Graduate Course Book PDF

Author : Allan Gut
Publisher : Springer Science & Business Media
Page : 608 pages
File Size : 41,7 Mb
Release : 2006-03-16
Category : Mathematics
ISBN : 9780387273327

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Probability: A Graduate Course by Allan Gut Pdf

This textbook on the theory of probability starts from the premise that rather than being a purely mathematical discipline, probability theory is an intimate companion of statistics. The book starts with the basic tools, and goes on to cover a number of subjects in detail, including chapters on inequalities, characteristic functions and convergence. This is followed by explanations of the three main subjects in probability: the law of large numbers, the central limit theorem, and the law of the iterated logarithm. After a discussion of generalizations and extensions, the book concludes with an extensive chapter on martingales.

Probability

Albert Shiryaev
Probability Book PDF

Author : Albert Shiryaev
Publisher : Springer Science & Business Media
Page : 636 pages
File Size : 42,5 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9781475725391

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Probability by Albert Shiryaev Pdf

In the Preface to the first edition, originally published in 1980, we mentioned that this book was based on the author's lectures in the Department of Mechanics and Mathematics of the Lomonosov University in Moscow, which were issued, in part, in mimeographed form under the title "Probabil ity, Statistics, and Stochastic Processors, I, II" and published by that Univer sity. Our original intention in writing the first edition of this book was to divide the contents into three parts: probability, mathematical statistics, and theory of stochastic processes, which corresponds to an outline of a three semester course of lectures for university students of mathematics. However, in the course of preparing the book, it turned out to be impossible to realize this intention completely, since a full exposition would have required too much space. In this connection, we stated in the Preface to the first edition that only probability theory and the theory of random processes with discrete time were really adequately presented. Essentially all of the first edition is reproduced in this second edition. Changes and corrections are, as a rule, editorial, taking into account com ments made by both Russian and foreign readers of the Russian original and ofthe English and Germantranslations [Sll]. The author is grateful to all of these readers for their attention, advice, and helpful criticisms. In this second English edition, new material also has been added, as follows: in Chapter 111, §5, §§7-12; in Chapter IV, §5; in Chapter VII, §§8-10.

Introduction to Probability

Joseph K. Blitzstein,Jessica Hwang
Introduction to Probability Book PDF

Author : Joseph K. Blitzstein,Jessica Hwang
Publisher : CRC Press
Page : 599 pages
File Size : 44,9 Mb
Release : 2014-07-24
Category : Mathematics
ISBN : 9781466575578

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Introduction to Probability by Joseph K. Blitzstein,Jessica Hwang Pdf

Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.

Probability Theory I

M. Loeve
Probability Theory I Book PDF

Author : M. Loeve
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 54,9 Mb
Release : 1977-03-29
Category : Mathematics
ISBN : 0387902104

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Probability Theory I by M. Loeve Pdf

This fourth edition contains several additions. The main ones con cern three closely related topics: Brownian motion, functional limit distributions, and random walks. Besides the power and ingenuity of their methods and the depth and beauty of their results, their importance is fast growing in Analysis as well as in theoretical and applied Proba bility. These additions increased the book to an unwieldy size and it had to be split into two volumes. About half of the first volume is devoted to an elementary introduc tion, then to mathematical foundations and basic probability concepts and tools. The second half is devoted to a detailed study of Independ ence which played and continues to playa central role both by itself and as a catalyst. The main additions consist of a section on convergence of probabilities on metric spaces and a chapter whose first section on domains of attrac tion completes the study of the Central limit problem, while the second one is devoted to random walks. About a third of the second volume is devoted to conditioning and properties of sequences of various types of dependence. The other two thirds are devoted to random functions; the last Part on Elements of random analysis is more sophisticated. The main addition consists of a chapter on Brownian motion and limit distributions.

Fundamentals of Probability: A First Course

Anirban DasGupta
Fundamentals of Probability A First Course Book PDF

Author : Anirban DasGupta
Publisher : Springer Science & Business Media
Page : 457 pages
File Size : 53,7 Mb
Release : 2010-04-02
Category : Mathematics
ISBN : 9781441957801

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Fundamentals of Probability: A First Course by Anirban DasGupta Pdf

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.

Probability and Statistics

Ronald Deep
Probability and Statistics Book PDF

Author : Ronald Deep
Publisher : Academic Press
Page : 708 pages
File Size : 40,7 Mb
Release : 2005-10-25
Category : Mathematics
ISBN : 9780123694638

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Probability and Statistics by Ronald Deep Pdf

Probability & Statistics with Integrated Software Routines is a calculus-based treatment of probability concurrent with and integrated with statistics through interactive, tailored software applications designed to enhance the phenomena of probability and statistics. The software programs make the book unique.The book comes with a CD containing the interactive software leading to the Statistical Genie. The student can issue commands repeatedly while making parameter changes to observe the effects. Computer programming is an excellent skill for problem solvers, involving design,

The Probability Tutoring Book

Carol Ash
The Probability Tutoring Book Book PDF

Author : Carol Ash
Publisher : Wiley-IEEE Press
Page : 0 pages
File Size : 46,6 Mb
Release : 1996-11-14
Category : Mathematics
ISBN : 0780310519

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The Probability Tutoring Book by Carol Ash Pdf

A self-study guide for practicing engineers, scientists, and students, this book offers practical, worked-out examples on continuous and discrete probability for problem-solving courses. It is filled with handy diagrams, examples, and solutions that greatly aid in the comprehension of a variety of probability problems.

Probability Theory and Applications

Enders A. Robinson
Probability Theory and Applications Book PDF

Author : Enders A. Robinson
Publisher : Springer Science & Business Media
Page : 421 pages
File Size : 40,6 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 9789400953864

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Probability Theory and Applications by Enders A. Robinson Pdf

Probability theory and its applications represent a discipline of fun damental importance to nearly all people working in the high-tech nology world that surrounds us. There is increasing awareness that we should ask not "Is it so?" but rather "What is the probability that it is so?" As a result, most colleges and universities require a course in mathematical probability to be given as part of the undergraduate training of all scientists, engineers, and mathematicians. This book is a text for a first course in the mathematical theory of probability for undergraduate students who have the prerequisite of at least two, and better three, semesters of calculus. In particular, the student must have a good working knowledge of power series expan sions and integration. Moreover, it would be helpful if the student has had some previous exposure to elementary probability theory, either in an elementary statistics course or a finite mathematics course in high school or college. If these prerequisites are met, then a good part of the material in this book can be covered in a semester (IS-week) course that meets three hours a week.

Elementary Probability Theory with Stochastic Processes

K. L. Chung
Elementary Probability Theory with Stochastic Processes Book PDF

Author : K. L. Chung
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 46,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475751147

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Elementary Probability Theory with Stochastic Processes by K. L. Chung Pdf

In the past half-century the theory of probability has grown from a minor isolated theme into a broad and intensive discipline interacting with many other branches of mathematics. At the same time it is playing a central role in the mathematization of various applied sciences such as statistics, opera tions research, biology, economics and psychology-to name a few to which the prefix "mathematical" has so far been firmly attached. The coming-of-age of probability has been reflected in the change of contents of textbooks on the subject. In the old days most of these books showed a visible split personality torn between the combinatorial games of chance and the so-called "theory of errors" centering in the normal distribution. This period ended with the appearance of Feller's classic treatise (see [Feller l]t) in 1950, from the manuscript of which I gave my first substantial course in probability. With the passage of time probability theory and its applications have won a place in the college curriculum as a mathematical discipline essential to many fields of study. The elements of the theory are now given at different levels, sometimes even before calculus. The present textbook is intended for a course at about the sophomore level. It presupposes no prior acquaintance with the subject and the first three chapters can be read largely without the benefit of calculus.

Introduction to Probability

John E. Freund
Introduction to Probability Book PDF

Author : John E. Freund
Publisher : Courier Corporation
Page : 247 pages
File Size : 45,8 Mb
Release : 2012-05-11
Category : Mathematics
ISBN : 9780486158433

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Introduction to Probability by John E. Freund Pdf

Featured topics include permutations and factorials, probabilities and odds, frequency interpretation, mathematical expectation, decision making, postulates of probability, rule of elimination, much more. Exercises with some solutions. Summary. 1973 edition.

Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, Volume III

Lucien M. Le Cam,Jerzy Neyman,Elizabeth L. Scott
Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability Volume III Book PDF

Author : Lucien M. Le Cam,Jerzy Neyman,Elizabeth L. Scott
Publisher : Univ of California Press
Page : 732 pages
File Size : 53,7 Mb
Release : 2024-03-29
Category : Mathematics
ISBN : 9780520375895

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Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, Volume III by Lucien M. Le Cam,Jerzy Neyman,Elizabeth L. Scott Pdf

This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1972.

Probability

Rick Durrett
Probability Book PDF

Author : Rick Durrett
Publisher : Cambridge University Press
Page : 128 pages
File Size : 49,8 Mb
Release : 2010-08-30
Category : Mathematics
ISBN : 9781139491136

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Probability by Rick Durrett Pdf

This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.

Probability, Statistics, and Data

Darrin Speegle,Bryan Clair
Probability Statistics and Data Book PDF

Author : Darrin Speegle,Bryan Clair
Publisher : CRC Press
Page : 513 pages
File Size : 40,5 Mb
Release : 2021-11-25
Category : Business & Economics
ISBN : 9781000504163

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Probability, Statistics, and Data by Darrin Speegle,Bryan Clair Pdf

This book is a fresh approach to a calculus based, first course in probability and statistics, using R throughout to give a central role to data and simulation. The book introduces probability with Monte Carlo simulation as an essential tool. Simulation makes challenging probability questions quickly accessible and easily understandable. Mathematical approaches are included, using calculus when appropriate, but are always connected to experimental computations. Using R and simulation gives a nuanced understanding of statistical inference. The impact of departure from assumptions in statistical tests is emphasized, quantified using simulations, and demonstrated with real data. The book compares parametric and non-parametric methods through simulation, allowing for a thorough investigation of testing error and power. The text builds R skills from the outset, allowing modern methods of resampling and cross validation to be introduced along with traditional statistical techniques. Fifty-two data sets are included in the complementary R package fosdata. Most of these data sets are from recently published papers, so that you are working with current, real data, which is often large and messy. Two central chapters use powerful tidyverse tools (dplyr, ggplot2, tidyr, stringr) to wrangle data and produce meaningful visualizations. Preliminary versions of the book have been used for five semesters at Saint Louis University, and the majority of the more than 400 exercises have been classroom tested. The exercises in the book have been added to to the free and open online homework system myopenmath (https://www.myopenmath.com/) which may be useful to instructors.