Probability Theory
A Primer
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Go to College Publishing WebsiteDescription
Aimed at demystifying probability theory, this text provides a brief and non-technical introduction to the subject. Employing few formulas, Rudas uses intuitive but precise descriptions and examples to explain procedures in probability as a springboard for understanding the concepts of expectation, variance, continuous distributions, normal distribution, chi-squared distribution, and the applications of probability theory in research practice. This book gives researchers and students a solid foundation for understanding probability, and can serve as a supplement in general statistics courses.
Contents
INTRODUCTION
INTRODUCTION
WHERE DO PROBABILITIES COME FROM?
- DETERMINISTIC AND STOCHASTIC MODELS
- FREQUENTIST AND OTHER APPROACHES
- RELATIVE FREQUENCIES
- EXPERIMENTS WITH INFINITELY MANY OUTCOMES
PROPERTIES OF PROBABILITY
- BASIC PROPERTIES
- ADDITIVITY
- DENSITY FUNCTIONS
- COUNTABLE ADDITIVITY
PROBABILITY DISTRIBUTIONS AND RANDOM VARIABLES
- THE DISCRETE CASE
- THE BINOMIAL DISTRIBUTION
- THE CONTINUOUS CASE
- THE NORMAL DISTRIBUTION
- THE CHI-SQUARED DISTRIBUTION
CONCLUSIONS
CONCLUSIONS
NOTES
NOTES
REFERENCES
REFERENCES
ABOUT THE AUTHOR
ABOUT THE AUTHOR
Description
Aimed at demystifying probability theory, this text provides a brief and non-technical introduction to the subject. Employing few formulas, Rudas uses intuitive but precise descriptions and examples to explain procedures in probability as a springboard for understanding the concepts of expectation, variance, continuous distributions, normal distribution, chi-squared distribution, and the applications of probability theory in research practice. This book gives researchers and students a solid foundation for understanding probability, and can serve as a supplement in general statistics courses.
Contents
INTRODUCTION
INTRODUCTION
WHERE DO PROBABILITIES COME FROM?
- DETERMINISTIC AND STOCHASTIC MODELS
- FREQUENTIST AND OTHER APPROACHES
- RELATIVE FREQUENCIES
- EXPERIMENTS WITH INFINITELY MANY OUTCOMES
PROPERTIES OF PROBABILITY
- BASIC PROPERTIES
- ADDITIVITY
- DENSITY FUNCTIONS
- COUNTABLE ADDITIVITY
PROBABILITY DISTRIBUTIONS AND RANDOM VARIABLES
- THE DISCRETE CASE
- THE BINOMIAL DISTRIBUTION
- THE CONTINUOUS CASE
- THE NORMAL DISTRIBUTION
- THE CHI-SQUARED DISTRIBUTION
CONCLUSIONS
CONCLUSIONS
NOTES
NOTES
REFERENCES
REFERENCES
ABOUT THE AUTHOR
ABOUT THE AUTHOR
June 2004 | 80 pages | Sage US
| Format | Published Date | ISBN | Price |
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Aimed at demystifying probability theory, this text provides a brief and non-technical introduction to the subject. Employing few formulas, Rudas uses intuitive but precise descriptions and examples to explain procedures in probability as a springboard for understanding the concepts of expectation, variance, continuous distributions, normal distribution, chi-squared distribution, and the applications of probability theory in research practice. This book gives researchers and students a solid foundation for understanding probability, and can serve as a supplement in general statistics courses.
Table Of Contents:
- INTRODUCTION
- WHERE DO PROBABILITIES COME FROM?
- DETERMINISTIC AND STOCHASTIC MODELS
- FREQUENTIST AND OTHER APPROACHES
- RELATIVE FREQUENCIES
- EXPERIMENTS WITH INFINITELY MANY OUTCOMES
- PROPERTIES OF PROBABILITY
- BASIC PROPERTIES
- ADDITIVITY
- DENSITY FUNCTIONS
- COUNTABLE ADDITIVITY
- PROBABILITY DISTRIBUTIONS AND RANDOM VARIABLES
- THE DISCRETE CASE
- THE BINOMIAL DISTRIBUTION
- THE CONTINUOUS CASE
- THE NORMAL DISTRIBUTION
- THE CHI-SQUARED DISTRIBUTION
- CONCLUSIONS
- NOTES
- REFERENCES
- ABOUT THE AUTHOR