Format:
1 Online-Ressource (XIV, 358 Seiten)
Edition:
2nd, revised and extended edition
Edition:
Reproduktion Issued also in print
ISBN:
9783111332277
,
9783111332321
Series Statement:
De Gruyter textbook
Content:
The idea of the book is to present a text that is useful for both students of quantitative sciences and practitioners who work with univariate or multivariate probabilistic models. Since the text should also be suitable for self-study, excessive formalism is avoided though mathematical rigor is retained. A deeper insight into the topics is provided by detailed examples and illustrations. The book covers the standard content of a course in probability and statistics. However, the second edition includes two new chapters about distribution theory and exploratory data analysis. The first-mentioned chapter certainly goes beyond the standard material. It is presented to reflect the growing practical importance of developing new distributions. The second new chapter studies intensively one- and bidimensional concepts like assymetry, kurtosis, correlation and determination coefficients. In particular, examples are intended to enable the reader to take a critical look at the appropriateness of the geometrically motivated concepts
Note:
Frontmatter -- Acknowledgment -- Preface to the first edition -- Preface to the second edition -- Contents -- 1 Mathematics revision -- 2 Introduction to probability -- 3 Finite sample spaces -- 4 Conditional probability and independence -- 5 One-dimensional random variables -- 6 Functions of random variables -- 7 Bidimensional random variables -- 8 Characteristics of random variables -- 9 Discrete probability models -- 10 Continuous probability models -- 11 Generating functions in probability -- 12 Construction of new distributions -- 13 Sums of many random variables -- 14 Samples and sampling distributions -- 15 Estimation of parameters -- 16 Hypothesis tests -- 17 Exploratory data analysis -- Appendix -- References -- Index
,
Issued also in print
,
In English
Additional Edition:
ISBN 9783111332208
Additional Edition:
Erscheint auch als print ISBN 9783111332208
Language:
English
Keywords:
Wahrscheinlichkeitstheorie
;
Statistik
;
Stochastisches Modell
;
Wahrscheinlichkeitsverteilung
;
Multivariate Analyse
;
Parameterschätzung
;
Statistischer Test
DOI:
10.1515/9783111332277
Author information:
Zörnig, Peter 1955-