A Modern introduction to probability and statistics : understanding why and how

Probability and Statistics are studied by most science students, usually as a second- or third-year course. Many current texts in the area are just cookbooks and, as a result, students do not know why they perform the methods they are taught, or why the methods work. The strength of this book is tha...

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Auteurs principaux: Dekking, Frederik Michel, 1946-, Kraaikamp, Cor, 1958-...., mathématicien (Auteur), Lopuhaä, Hendrik Paul, 1957-...., mathématicien (Auteur), Meester, Ludolf Erwin, 1958-...., mathématicien (Auteur)
Format: Livre numérique
Langue:Anglais
Publié: London : Springer London [20..].
Cham : Springer Nature
Édition:1st ed. 2005.
Collection:Springer Texts in Statistics
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• A modern introduction to probability and statistics, understanding why and how, F.M. Dekking, C. Kraaikamp, H.P. Lopuhaä, L.E. Meester, 2005, New York, Springer, 1 vol. (XV-487 p.), Springer texts in statistics, 1-85233-896-2
• A Modern Introduction to Probability and Statistics, Texte imprimé, 9781848008069
Table des matières:
  • Why probability and statistics? Outcomes, events, and probability Conditional probability and independence Discrete random variables Continuous random variables Simulation Expectation and variance Computations with random variables Joint distributions and independence Covariance and correlation More computations with more random variables The Poisson process The law of large numbers The central limit theorem Exploratory data analysis: graphical summaries Exploratory data analysis: numerical summaries Basic statistical models The bootstrap Unbiased estimators Efficiency and mean squared error Maximum likelihood The method of least squares Confidence intervals for the mean More on confidence intervals Testing hypotheses: essentials Testing hypotheses: elaboration The t-test Comparing two samples