# Search results for: probability-theory-with-applications

## Probability Theory and Applications Author : Enders A. Robinson
File Size : 47.34 MB
Format : PDF, Docs
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.

## Basic Probability Theory with Applications Author : Mario Lefebvre
File Size : 86.40 MB
Format : PDF, ePub
The main intended audience for this book is undergraduate students in pure and applied sciences, especially those in engineering. Chapters 2 to 4 cover the probability theory they generally need in their training. Although the treatment of the subject is surely su?cient for non-mathematicians, I intentionally avoided getting too much into detail. For instance, topics such as mixed type random variables and the Dirac delta function are only brie?y mentioned. Courses on probability theory are often considered di?cult. However, after having taught this subject for many years, I have come to the conclusion that one of the biggest problems that the students face when they try to learn probability theory, particularly nowadays, is their de?ciencies in basic di?erential and integral calculus. Integration by parts, for example, is often already forgotten by the students when they take a course on probability. For this reason, I have decided to write a chapter reviewing the basic elements of di?erential calculus. Even though this chapter might not be covered in class, the students can refer to it when needed. In this chapter, an e?ort was made to give the readers a good idea of the use in probability theory of the concepts they should already know. Chapter 2 presents the main results of what is known as elementary probability, including Bayes’ rule and elements of combinatorial analysis.

## Grundbegriffe der Wahrscheinlichkeitsrechnung Author : Andreĭ Nikolaevich Kolmogorov
File Size : 24.36 MB
Format : PDF, ePub

## A Guide to Probability Theory and Application Author : Cyrus Derman
File Size : 76.94 MB
Format : PDF, Docs

## A Basic Course in Measure and Probability Author : Ross Leadbetter
File Size : 47.68 MB
Format : PDF
A concise introduction covering all of the measure theory and probability most useful for statisticians.

## An Introduction to Probability Theory with Statistical Applications Author : Michael A. Golberg
File Size : 63.81 MB
Format : PDF, Docs

## Probability Theory and Applications Author : Enders Robinson
File Size : 36.74 MB
Format : PDF, Docs

## Elementary Applications of Probability Theory Author : Henry C. Tuckwell
File Size : 82.12 MB
Format : PDF
This book provides a clear and straightforward introduction to applications of probability theory with examples given in the biological sciences and engineering. The first chapter contains a summary of basic probability theory. Chapters two to five deal with random variables and their applications. Topics covered include geometric probability, estimation of animal and plant populations, reliability theory and computer simulation. Chapter six contains a lucid account of the convergence of sequences of random variables, with emphasis on the central limit theorem and the weak law of numbers. The next four chapters introduce random processes, including random walks and Markov chains illustrated by examples in population genetics and population growth. This edition also includes two chapters which introduce, in a manifestly readable fashion, the topic of stochastic differential equations and their applications.

## An Introduction to Probability Theory and Its Applications Author : William Feller
File Size : 42.91 MB
Format : PDF 