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)
פורמט: Livre numérique
שפה:Anglais
יצא לאור: London : Springer London [20..].
Cham : Springer Nature
מהדורה:1st ed. 2005.
סדרה:Springer Texts in Statistics
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גישה מקוונת:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
הערה: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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
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245 1 0 |a A Modern introduction to probability and statistics :  |b understanding why and how   |c by Frederik Michel Dekking, Cornelis Kraaikamp, Hendrik Paul Lopuhaä, Ludolf Erwin Meester. 
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505 1 |a 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 
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520 |a 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 that it readdresses these shortcomings; by using examples, often from real-life and using real data, the authors can show how the fundamentals of probabilistic and statistical theories arise intuitively. It provides a tried and tested, self-contained course, that can also be used for self-study. A Modern Introduction to Probability and Statistics has numerous quick exercises to give direct feedback to the students. In addition the book contains over 350 exercises, half of which have answers, of which half have full solutions. A website at www.springeronline.com/1-85233-896-2 gives access to the data files used in the text, and, for instructors, the remaining solutions. The only pre-requisite for the book is a first course in calculus; the text covers standard statistics and probability material, and develops beyond traditional parametric models to the Poisson process, and on to useful modern methods such as the bootstrap. This will be a key text for undergraduates in Computer Science, Physics, Mathematics, Chemistry, Biology and Business Studies who are studying a mathematical statistics course, and also for more intensive engineering statistics courses for undergraduates in all engineering subjects 
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