A Modern Introduction to Probability and Statistics Understanding Why and How /

• Κύριοι συγγραφείς: Dekking, Frederik Michel (Συγγραφέας), Kraaikamp, Cornelis (Συγγραφέας), Lopuhaä, Hendrik Paul (Συγγραφέας), Meester, Ludolf Erwin (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London : Imprint: Springer, 2005.
• Σειρά: Springer Texts in Statistics,
• Θέματα: Mathematics.; Probabilities.; Statistics.; Applied mathematics.; Engineering mathematics.; Probability Theory and Stochastic Processes.; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.; Appl.Mathematics/Computational Methods of Engineering.

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...

Πίνακας περιεχομένων:

• 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.