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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Dekking, F.M (Autor), Kraaikamp, C. (Autor), Lopuhaä, H.P (Autor), Meester, L.E (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Colección:Springer Texts in Statistics,
Temas:
Probabilities.
Statistics .
Engineering mathematics.
Engineering-Data processing.
Probability Theory.
Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
Mathematical and Computational Engineering Applications.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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