An Introduction To Probability A Concise Exploration Of Core Concepts

Author : Y. Mathew
Publisher : Outskirts Press
Page : 211 pages
File Size : 49,5 Mb
Release : 2023-11-19
Category : Mathematics
ISBN : 9781977270405

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An Introduction to Probability: A Concise Exploration of Core Concepts by Y. Mathew Pdf

An Introduction to Probability: A Concise Exploration of Core Concepts highlights the fact that the mathematical notion of Probability relies on ratios to give a numeric value to the level of certainty we can have about a particular outcome for an event. As such, the mathematical concept of ratios or fractions, part-whole relationships, is used to begin the exploration of Probability. The book then goes on to explain in simple, direct language, with minimal reliance on complex technical machinery, how to build sample spaces and develop ratios to predict the probability of a selected outcome for an event. An Introduction to Probability: A Concise Exploration of Core Concepts is a reader-friendly exploration of probability. My approach is unique in that I provide extensive verbal explanations of the basic ideas and concepts which underpin Probability with minimal reliance on the usual technical language of Mathematics consisting of symbols and formulae. The text is written to be a gentle, thoughtful, perhaps even playful, exploration of the basic ideas in Probability. This approach is fueled by my desire to explain - not exclusively to present. I think most math books tend to present the material with very sparse or no detailed verbal explanation. In my book, the emphasis is placed on verbally explaining the basic ideas in Probability. I hope the reader finds this approach helpful.

Author : K. Itô
Publisher : Cambridge University Press
Page : 224 pages
File Size : 54,8 Mb
Release : 1984-09-28
Category : Mathematics
ISBN : 0521264189

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An Introduction to Probability Theory by K. Itô Pdf

Professor Itô is one of the most distinguished probability theorists in the world, and in this modern, concise introduction to the subject he explains basic probabilistic concepts rigorously and yet gives at the same time an intuitive understanding of random phenomena. In the first chapter he considers finite situations, but from an advanced standpoint that enables the transition to greater generality to be achieved more easily. Chapter 2 deals with probability measures and includes a discussion of the fundamental concepts of probability theory. These concepts are formulated abstractly but without sacrificing intuition. The last chapter is devoted to infinite sums of independent real random variables. Each chapter is divided into sections that end with a set of problems with hints for solution. This textbook will be particularly valuable to students of mathematics taking courses in probability theory who need a modern introduction to the subject that yet does not allow overemphasis on abstractness to cloud the issues involved.

Author : Narayanaswamy Balakrishnan,Markos V. Koutras,Konstadinos G. Politis
Publisher : John Wiley & Sons
Page : 548 pages
File Size : 54,9 Mb
Release : 2021-11-24
Category : Mathematics
ISBN : 9781118548554

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Introduction to Probability by Narayanaswamy Balakrishnan,Markos V. Koutras,Konstadinos G. Politis Pdf

INTRODUCTION TO PROBABILITY Discover practical models and real-world applications of multivariate models useful in engineering, business, and related disciplines In Introduction to Probability: Multivariate Models and Applications, a team of distinguished researchers delivers a comprehensive exploration of the concepts, methods, and results in multivariate distributions and models. Intended for use in a second course in probability, the material is largely self-contained, with some knowledge of basic probability theory and univariate distributions as the only prerequisite. This textbook is intended as the sequel to Introduction to Probability: Models and Applications. Each chapter begins with a brief historical account of some of the pioneers in probability who made significant contributions to the field. It goes on to describe and explain a critical concept or method in multivariate models and closes with two collections of exercises designed to test basic and advanced understanding of the theory. A wide range of topics are covered, including joint distributions for two or more random variables, independence of two or more variables, transformations of variables, covariance and correlation, a presentation of the most important multivariate distributions, generating functions and limit theorems. This important text: Includes classroom-tested problems and solutions to probability exercises Highlights real-world exercises designed to make clear the concepts presented Uses Mathematica software to illustrate the text’s computer exercises Features applications representing worldwide situations and processes Offers two types of self-assessment exercises at the end of each chapter, so that students may review the material in that chapter and monitor their progress Perfect for students majoring in statistics, engineering, business, psychology, operations research and mathematics taking a second course in probability, Introduction to Probability: Multivariate Models and Applications is also an indispensable resource for anyone who is required to use multivariate distributions to model the uncertainty associated with random phenomena.

Author : John E. Freund
Publisher : Courier Corporation
Page : 247 pages
File Size : 45,6 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.

Author : Narayanaswamy Balakrishnan,Markos V. Koutras,Konstadinos G. Politis
Publisher : John Wiley & Sons
Page : 548 pages
File Size : 45,9 Mb
Release : 2021-12-29
Category : Mathematics
ISBN : 9781118123331

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Introduction to Probability by Narayanaswamy Balakrishnan,Markos V. Koutras,Konstadinos G. Politis Pdf

INTRODUCTION TO PROBABILITY Discover practical models and real-world applications of multivariate models useful in engineering, business, and related disciplines In Introduction to Probability: Multivariate Models and Applications, a team of distinguished researchers delivers a comprehensive exploration of the concepts, methods, and results in multivariate distributions and models. Intended for use in a second course in probability, the material is largely self-contained, with some knowledge of basic probability theory and univariate distributions as the only prerequisite. This textbook is intended as the sequel to Introduction to Probability: Models and Applications. Each chapter begins with a brief historical account of some of the pioneers in probability who made significant contributions to the field. It goes on to describe and explain a critical concept or method in multivariate models and closes with two collections of exercises designed to test basic and advanced understanding of the theory. A wide range of topics are covered, including joint distributions for two or more random variables, independence of two or more variables, transformations of variables, covariance and correlation, a presentation of the most important multivariate distributions, generating functions and limit theorems. This important text: Includes classroom-tested problems and solutions to probability exercises Highlights real-world exercises designed to make clear the concepts presented Uses Mathematica software to illustrate the text’s computer exercises Features applications representing worldwide situations and processes Offers two types of self-assessment exercises at the end of each chapter, so that students may review the material in that chapter and monitor their progress Perfect for students majoring in statistics, engineering, business, psychology, operations research and mathematics taking a second course in probability, Introduction to Probability: Multivariate Models and Applications is also an indispensable resource for anyone who is required to use multivariate distributions to model the uncertainty associated with random phenomena.

Author : Sheldon M. Ross
Publisher : Elsevier
Page : 801 pages
File Size : 45,9 Mb
Release : 2007
Category : Probabilities
ISBN : 9780123736352

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Introduction to Probability Models by Sheldon M. Ross Pdf

Rosss classic bestseller has been used extensively by professionals and as the primary text for a first undergraduate course in applied probability. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries.

Author : J. L. Hodges Jr.,Erich L. Lehmann
Publisher : Unknown
Page : 222 pages
File Size : 42,9 Mb
Release : 2013-07
Category : Electronic
ISBN : 1258766116

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Basic Concepts of Probability and Statistics, Part 1 by J. L. Hodges Jr.,Erich L. Lehmann Pdf

Author : Paul E. Pfeiffer
Publisher : Courier Corporation
Page : 416 pages
File Size : 50,8 Mb
Release : 2013-05-13
Category : Mathematics
ISBN : 9780486165660

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Concepts of Probability Theory by Paul E. Pfeiffer Pdf

Using the Kolmogorov model, this intermediate-level text discusses random variables, probability distributions, mathematical expectation, random processes, more. For advanced undergraduates students of science, engineering, or math. Includes problems with answers and six appendixes. 1965 edition.

Author : F.M. Dekking,C. Kraaikamp,H.P. Lopuhaä,L.E. Meester
Publisher : Springer Science & Business Media
Page : 488 pages
File Size : 54,8 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9781846281686

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A Modern Introduction to Probability and Statistics by F.M. Dekking,C. Kraaikamp,H.P. Lopuhaä,L.E. Meester Pdf

Suitable for self study Use real examples and real data sets that will be familiar to the audience Introduction to the bootstrap is included – this is a modern method missing in many other books

Author : Charles Miller Grinstead,James Laurie Snell
Publisher : American Mathematical Soc.
Page : 536 pages
File Size : 55,9 Mb
Release : 1997
Category : Mathematics
ISBN : 0821807498

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Introduction to Probability by Charles Miller Grinstead,James Laurie Snell Pdf

This text is designed for an introductory probability course at the university level for undergraduates in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a firm understanding of the subject.

Author : David F. Anderson,Timo Seppäläinen,Benedek Valkó
Publisher : Cambridge University Press
Page : 0 pages
File Size : 54,5 Mb
Release : 2017-11-02
Category : Mathematics
ISBN : 1108415857

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Introduction to Probability by David F. Anderson,Timo Seppäläinen,Benedek Valkó Pdf

This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

Author : David Stirzaker
Publisher : Cambridge University Press
Page : 380 pages
File Size : 47,7 Mb
Release : 1999-09-02
Category : Mathematics
ISBN : 0521642973

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Probability and Random Variables by David Stirzaker Pdf

This concise introduction to probability theory is written in an informal, tutorial style with concepts and techniques defined and developed as necessary. After an elementary discussion of chance, Stirzaker sets out the central and crucial rules and ideas of probability including independence and conditioning. Counting, combinatorics, and the ideas of probability distributions and densities follow. Later chapters present random variables and examine independence, conditioning, covariance, and functions of random variables, both discrete and continuous. The final chapter considers generating functions and applies this concept to practical problems including branching processes, random walks, and the central limit theorem. Examples, demonstrations, and exercises are used throughout to explore the ways in which probability is motivated by, and applied to, real life problems in science, medicine, gaming and other subjects of interest. Essential proofs of important results are included. Assuming minimal prior technical knowledge on the part of the reader, this book is suitable for students taking introductory courses in probability and will provide a solid foundation for more advanced courses in probability and statistics. It is also a valuable reference to those needing a working knowledge of probability theory and will appeal to anyone interested in this endlessly fascinating and entertaining subject.

Author : Boris Vladimirovich Gnedenko,Aleksandr I?Akovlevich Khinchin
Publisher : Courier Corporation
Page : 162 pages
File Size : 46,7 Mb
Release : 1962-01-01
Category : Mathematics
ISBN : 9780486601557

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An Elementary Introduction to the Theory of Probability by Boris Vladimirovich Gnedenko,Aleksandr I?Akovlevich Khinchin Pdf

This compact volume equips the reader with all the facts and principles essential to a fundamental understanding of the theory of probability. It is an introduction, no more: throughout the book the authors discuss the theory of probability for situations having only a finite number of possibilities, and the mathematics employed is held to the elementary level. But within its purposely restricted range it is extremely thorough, well organized, and absolutely authoritative. It is the only English translation of the latest revised Russian edition; and it is the only current translation on the market that has been checked and approved by Gnedenko himself. After explaining in simple terms the meaning of the concept of probability and the means by which an event is declared to be in practice, impossible, the authors take up the processes involved in the calculation of probabilities. They survey the rules for addition and multiplication of probabilities, the concept of conditional probability, the formula for total probability, Bayes's formula, Bernoulli's scheme and theorem, the concepts of random variables, insufficiency of the mean value for the characterization of a random variable, methods of measuring the variance of a random variable, theorems on the standard deviation, the Chebyshev inequality, normal laws of distribution, distribution curves, properties of normal distribution curves, and related topics. The book is unique in that, while there are several high school and college textbooks available on this subject, there is no other popular treatment for the layman that contains quite the same material presented with the same degree of clarity and authenticity. Anyone who desires a fundamental grasp of this increasingly important subject cannot do better than to start with this book. New preface for Dover edition by B. V. Gnedenko.

Author : Larry Wasserman
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 47,6 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.

Author : Erio Castagnoli,Margherita Cigola,Lorenzo Peccati
Publisher : Unknown
Page : 160 pages
File Size : 51,6 Mb
Release : 2017-09
Category : Mathematics
ISBN : 8885486096

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Probability by Erio Castagnoli,Margherita Cigola,Lorenzo Peccati Pdf