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Probability Theory
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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.

 
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
Key features
  • Demystifies probability theory
  • Non-technical introduction to the theory
  • Precise descriptions and examples
  • Provides solid foundation for understanding probability

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