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Probability Theory
A Primer
- Tamás Rudas - Eotvos Lorand University, Budapest
Volume:
142
June 2004 | 80 pages | SAGE Publications, Inc
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.
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
Sage College Publishing
