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Convergence of Certain Probability Distribution Functions
Author(s) -
Washington Kelly Mcken,
Richardson Gary
Publication year - 1980
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19800940105
Subject(s) - mathematics , pointwise convergence , convergence (economics) , pointwise , convolution (computer science) , probability distribution , topology (electrical circuits) , distribution (mathematics) , uniform convergence , compact convergence , weak convergence , mathematical analysis , network topology , rate of convergence , combinatorics , statistics , computer science , channel (broadcasting) , computer security , bandwidth (computing) , machine learning , artificial neural network , economics , asset (computer security) , economic growth , operating system , computer network
Properties of the space of one‐dimensional continuous probability distribution functions endowed with the topology of pointwise convergence are investigated. For example, the operation of convolution is shown to be continuous.