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Measure integral and probability (Springer Undergraduate Mathematics Series) - Tapa blanda

Libro 42 de 90: Springer Undergraduate Mathematics

Capinski, Marek

 
9783540762607: Measure integral and probability (Springer Undergraduate Mathematics Series)
Tapa blanda
ISBN 10: 3540762604 ISBN 13: 9783540762607
Editorial: Springer Verlag, 1999

Sinopsis

The key concept is that of measure which is first developed on the real line and then presented abstractly to provide an introduction to the foundations of probability theory (the Kolmogorov axioms) which in turn opens a route to many illustrative examples and applications, including a thorough discussion of standard probability distributions and densities. Throughout, the development of the Lebesgue Integral provides the essential ideas: the role of basic convergence theorems, a discussion of modes of convergence for measurable functions, relations to the Riemann integral and the fundamental theorem of calculus, leading to the definition of Lebesgue spaces, the Fubini and Radon-Nikodym Theorems and their roles in describing the properties of random variables and their distributions. Applications to probability include laws of large numbers and the central limit theorem.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

The key concept is that of measure which is first developed on the real line and then presented abstractly to provide an introduction to the foundations of probability theory (the Kolmogorov axioms) which in turn opens a route to many illustrative examples and applications, including a thorough discussion of standard probability distributions and densities. Throughout, the development of the Lebesgue Integral provides the essential ideas: the role of basic convergence theorems, a discussion of modes of convergence for measurable functions, relations to the Riemann integral and the fundamental theorem of calculus, leading to the definition of Lebesgue spaces, the Fubini and Radon-Nikodym Theorems and their roles in describing the properties of random variables and their distributions. Applications to probability include laws of large numbers and the central limit theorem.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer Verlag
Año de publicación
1999
Idioma
Inglés
ISBN 10 
3540762604
ISBN 13 
9783540762607
Encuadernación
Tapa blanda
Número de páginas
239
Contacto del fabricante
no disponible
Persona responsable
no disponible