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Probability Essentials

Probability Essentials
Author: Jean Jacod
Publisher: Springer Science & Business Media
Total Pages: 247
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642556825

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This introduction can be used, at the beginning graduate level, for a one-semester course on probability theory or for self-direction without benefit of a formal course; the measure theory needed is developed in the text. It will also be useful for students and teachers in related areas such as finance theory, electrical engineering, and operations research. The text covers the essentials in a directed and lean way with 28 short chapters, and assumes only an undergraduate background in mathematics. Readers are taken right up to a knowledge of the basics of Martingale Theory, and the interested student will be ready to continue with the study of more advanced topics, such as Brownian Motion and Ito Calculus, or Statistical Inference.


Probability Essentials

Probability Essentials
Author:
Publisher: Research & Education Assoc.
Total Pages: 132
Release:
Genre: Mathematics
ISBN: 9780738671376

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REAs Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Probability includes basic concepts, counting methods, conditional probability and independence, random variables, sums of random variables, countably infinite random variables, continuous random variables, special discrete probability models, special continuous probability distributions, generating functions, and Markov chains.


Probability Essentials

Probability Essentials
Author: Jean Jacod
Publisher: Springer Science & Business Media
Total Pages: 242
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642514316

Download Probability Essentials Book in PDF, ePub and Kindle

This introduction can be used, at the beginning graduate level, for a one-semester course on probability theory or for self-direction without benefit of a formal course; the measure theory needed is developed in the text. It will also be useful for students and teachers in related areas such as finance theory, electrical engineering, and operations research. The text covers the essentials in a directed and lean way with 28 short chapters, and assumes only an undergraduate background in mathematics. Readers are taken right up to a knowledge of the basics of Martingale Theory, and the interested student will be ready to continue with the study of more advanced topics, such as Brownian Motion and Ito Calculus, or Statistical Inference.


Essentials of Probability Theory for Statisticians

Essentials of Probability Theory for Statisticians
Author: Michael A. Proschan
Publisher: CRC Press
Total Pages: 334
Release: 2016-03-23
Genre: Mathematics
ISBN: 1498704204

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Essentials of Probability Theory for Statisticians provides graduate students with a rigorous treatment of probability theory, with an emphasis on results central to theoretical statistics. It presents classical probability theory motivated with illustrative examples in biostatistics, such as outlier tests, monitoring clinical trials, and using adaptive methods to make design changes based on accumulating data. The authors explain different methods of proofs and show how they are useful for establishing classic probability results. After building a foundation in probability, the text intersperses examples that make seemingly esoteric mathematical constructs more intuitive. These examples elucidate essential elements in definitions and conditions in theorems. In addition, counterexamples further clarify nuances in meaning and expose common fallacies in logic. This text encourages students in statistics and biostatistics to think carefully about probability. It gives them the rigorous foundation necessary to provide valid proofs and avoid paradoxes and nonsensical conclusions.


Probability

Probability
Author: Rick Durrett
Publisher: Cambridge University Press
Total Pages:
Release: 2010-08-30
Genre: Mathematics
ISBN: 113949113X

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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.


Concepts of Probability Theory

Concepts of Probability Theory
Author: Paul E. Pfeiffer
Publisher: Courier Corporation
Total Pages: 416
Release: 2013-05-13
Genre: Mathematics
ISBN: 0486165663

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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.


Basics of Probability and Stochastic Processes

Basics of Probability and Stochastic Processes
Author: Esra Bas
Publisher: Springer Nature
Total Pages: 307
Release: 2019-11-05
Genre: Mathematics
ISBN: 3030323234

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This textbook explores probability and stochastic processes at a level that does not require any prior knowledge except basic calculus. It presents the fundamental concepts in a step-by-step manner, and offers remarks and warnings for deeper insights. The chapters include basic examples, which are revisited as the new concepts are introduced. To aid learning, figures and diagrams are used to help readers grasp the concepts, and the solutions to the exercises and problems. Further, a table format is also used where relevant for better comparison of the ideas and formulae. The first part of the book introduces readers to the essentials of probability, including combinatorial analysis, conditional probability, and discrete and continuous random variable. The second part then covers fundamental stochastic processes, including point, counting, renewal and regenerative processes, the Poisson process, Markov chains, queuing models and reliability theory. Primarily intended for undergraduate engineering students, it is also useful for graduate-level students wanting to refresh their knowledge of the basics of probability and stochastic processes.


Sampling Essentials

Sampling Essentials
Author: Johnnie Daniel
Publisher: SAGE Publications
Total Pages: 321
Release: 2011-04-25
Genre: Social Science
ISBN: 145222305X

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Written for students taking research methods courses, this text provides a thorough overview of sampling principles. The author gives detailed, nontechnical descriptions and guidelines with limited presentation of formulas to help students reach basic research decisions, such as whether to choose a census or a sample, as well as how to select sample size and sample type. Intended for students and researchers in the social and behavioral sciences, public health research, marketing research, and related areas, the text provides nonstatisticians with the concepts and techniques they need to do quality work and make good sampling choices.


Probability Through Problems

Probability Through Problems
Author: Marek Capinski
Publisher: Springer Science & Business Media
Total Pages: 262
Release: 2013-06-29
Genre: Mathematics
ISBN: 0387216596

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This book of problems is designed to challenge students learning probability. Each chapter is divided into three parts: Problems, Hints, and Solutions. All Problems sections include expository material, making the book self-contained. Definitions and statements of important results are interlaced with relevant problems. The only prerequisite is basic algebra and calculus.