Probability and Conditional Expectation: Fundamentals for the Empirical Sciences - Rilegato

Steyer, Rolf; Nagel, Werner

Rilegato

ISBN 10: 1119243521 ISBN 13: 9781119243526

Casa editrice: John Wiley & Sons Inc, 2017

Riassunto

Probability and Conditional Expectations bridges the gap between books on probability theory and statistics by providing the probabilistic concepts estimated and tested in analysis of variance, regression analysis, factor analysis, structural equation modeling, hierarchical linear models and analysis of qualitative data. The authors emphasize the theory of conditional expectations that is also fundamental to conditional independence and conditional distributions.

Probability and Conditional Expectations

• Presents a rigorous and detailed mathematical treatment of probability theory focusing on concepts that are fundamental to understand what we are estimating in applied statistics.
• Explores the basics of random variables along with extensive coverage of measurable functions and integration.
• Extensively treats conditional expectations also with respect to a conditional probability measure and the concept of conditional effect functions, which are crucial in the analysis of causal effects.
• Is illustrated throughout with simple examples, numerous exercises and detailed solutions.
• Provides website links to further resources including videos of courses delivered by the authors as well as R code exercises to help illustrate the theory presented throughout the book.

Su questo libro

Informazioni sull'autore

Rolf Steyer,
Institute of Psychology, University of Jena, Germany

Werner Nagel,
Institute of Mathematics, University of Jena, Germany

Dalla quarta di copertina

This book bridges the gap between books on probability theory and statistics by providing the probabilistic concepts estimated and tested in the analysis of variance, regression analysis, factor analysis, structural equation modeling, hierarchical linear models, and analysis of qualitative data. The authors emphasize the theory of conditional expectations that is also fundamental to conditional independence and conditional distributions.

Key features:

• Presents a rigorous and detailed mathematical treatment of probability theory, focusing on concepts that are fundamental to understand what we are estimating in applied statistics
• Explores the basics of random variables along with extensive coverage of measurable functions and integration.
• Extensively treats conditional expectations with respect to a conditional probability measure and the concept of conditional effect functions, which are crucial in the analysis of causal effects.
• Is illustrated throughout with simple examples, numerous exercises, and detailed solutions.
• Provides website links to further resources, including videos of courses delivered by the authors as well as R code exercises to help illustrate the theory presented throughout the book.

Aimed at mathematicians, applied statisticians and substantive researchers, this book will help readers to understand in terms of probability theory what applied statisticians and substantive researchers estimate and test in their empirical studies.

Dettagli dell'edizione

• Editore: John Wiley & Sons Inc
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 1119243521
• ISBN 13: 9781119243526
• Rilegatura: Copertina rigida
• Numero di pagine: 576
• Contatto del produttore: non disponibile
• Persona responsabile: Wiley-VCH GmbH; product_safety@wiley.com; ; Boschstrasse 12; Weinheim; 69469; Germania