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Probability Theory: A Primer: Quantitative Applications in the Social Sciences, cartea 142

Autor Tamas Rudas
en Limba Engleză Paperback – 30 aug 2004
This book intends to give a non-technical introduction to probability theory, as it is used in the social sciences. The topics covered include the concept of probability and its relation to relative frequency, the properties of probability, discrete and continuous random variables, and binomial, uniform, normal and chi-squared distributions. Readers who have taken basic college mathematics will be comfortable with this work, which frequently draws intuition and examples instead of technically involved arguments to make its points. In spite of the elementary level of discussion, the concepts of continuous random variables and distributions are carefully developed. Thus, the book prepares the reader not only for a precise understanding of sampling theory, where discrete probabilities are used, but also to a deeper understanding of most of the statistical techniques applied in social science data analysis, where continuous probability distributions are often referenced.
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Specificații

ISBN-13: 9780761925064
ISBN-10: 0761925066
Pagini: 80
Dimensiuni: 140 x 216 x 4 mm
Greutate: 0.1 kg
Ediția:New.
Editura: SAGE Publications
Colecția Sage Publications, Inc
Seria Quantitative Applications in the Social Sciences

Locul publicării:Thousand Oaks, United States

Cuprins

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

Notă biografică

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).

Descriere

Aimed at demystifying probability theory, this text provides a brief and non-technical introduction to the subject. Employing few formulas, author Tamas 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.