Continuous Mapping Theorem | Probability Theory, Continuous Function, Convergence of Random Variables, Portmanteau Theorem, Closure (topology).

Frederic P. Miller (u. a.)

ISBN 10: 6133791136 / ISBN 13: 9786133791138

Verlag: OmniScriptum, 2026

Continuous Mapping Theorem | Probability Theory, Continuous Function, Convergence of Random Variables, Portmanteau Theorem, Closure (topology). | Frederic P. Miller (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786133791138 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. Bestandsnummer des Verkäufers 135018376

Inhaltsangabe:

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In probability theory, the continuous mapping theorem states that continuous functions are limit- preserving even if their arguments are sequences of random variables. A continuous function, in Heine’s definition, is such a function that maps convergent sequences into convergent sequences: if xn → x then g (xn) → g(x). The continuous mapping theorem states that this will also be true if we replace the deterministic sequence {xn} with a sequence of random variables {Xn}, and replace the standard notion of convergence of real numbers “→� with one of the types of convergence of random variables.

Reseña del editor: Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In probability theory, the continuous mapping theorem states that continuous functions are limit- preserving even if their arguments are sequences of random variables. A continuous function, in Heine’s definition, is such a function that maps convergent sequences into convergent sequences: if xn → x then g (xn) → g(x). The continuous mapping theorem states that this will also be true if we replace the deterministic sequence {xn} with a sequence of random variables {Xn}, and replace the standard notion of convergence of real numbers “→â€� with one of the types of convergence of random variables.

Bibliografische Details

Titel: Continuous Mapping Theorem | Probability ...
Verlag: OmniScriptum
Erscheinungsdatum: 2026
Einband: Taschenbuch
Zustand: Neu