Probability Theory

A Primer
1. Auflage 2004
ISBN: 978-0-7619-2506-4
Verlag: Sage Publications, Inc.

Buch, Englisch, Band 142, 80 Seiten, Format (B × H): 140 mm x 216 mm, Gewicht: 111 g

Reihe: Quantitative Applications in the Social Sciences

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.

Autoren/Hrsg.

Rudas, Tamas

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Datenanalyse, Datenverarbeitung
• Sozialwissenschaften Soziologie | Soziale Arbeit Soziologie Allgemein Demographie, Demoskopie
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik

Inhaltsverzeichnis

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

Über Autor(innen)

Rudas, Tamas
Tamas Rudas is the Head of the Department of Statistics and Dean of the Faculty of Social Sciences at Eotvos Lorand University (ELTE) in Budapest. He is also the Academic Director of the TARKI Social Research Centre. His main research area is statistics and its applications in the social sciences, especially the analysis of categorical data. He has published his work in many theoretical, applied, and methodological journals, including Annals of Statistics, Journal of the Royal Statistical Society, Sociological Methodology, Communication in Statistics, Journal of Educational and Behavioral Statistics, and Quality and Quantity. Dr. Rudas is also the author of Odds Ratios in the Analysis of Contingency Tables (Sage, 1998).