Random variables and probability distributions / by Harald Cramér.

Cramér, Harald, 1893-1985

Call Number	519/.1
Author	Cramér, Harald, 1893-1985, author.
Title	Random variables and probability distributions / by Harald Cramér. Random Variables & Probability Distributions
Edition	Third edition.
Physical Description	1 online resource (118 pages) : digital, PDF file(s).
Series	Cambridge tracts in mathematics ; 36
Notes	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Summary	This tract develops the purely mathematical side of the theory of probability, without reference to any applications. When originally published, it was one of the earliest works in the field built on the axiomatic foundations introduced by A. Kolmogoroff in his book Grundbegriffe der Wahrscheinlichkeitsrechnung, thus treating the subject as a branch of the theory of completely additive set functions. The author restricts himself to a consideration of probability distributions in spaces of a finite number of dimensions, and to problems connected with the Central Limit Theorem and some of its generalizations and modifications. In this edition the chapter on Liapounoff's theorem has been partly rewritten, and now includes a proof of the important inequality due to Berry and Esseen. The terminology has been modernized, and several minor changes have been made.
Subject	STOCHASTIC PROCESSES. DISTRIBUTION (PROBABILITY THEORY) RANDOM VARIABLES.
Multimedia	https://doi.org/10.1017/CBO9780511470936

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Summary	This tract develops the purely mathematical side of the theory of probability, without reference to any applications. When originally published, it was one of the earliest works in the field built on the axiomatic foundations introduced by A. Kolmogoroff in his book Grundbegriffe der Wahrscheinlichkeitsrechnung, thus treating the subject as a branch of the theory of completely additive set functions. The author restricts himself to a consideration of probability distributions in spaces of a finite number of dimensions, and to problems connected with the Central Limit Theorem and some of its generalizations and modifications. In this edition the chapter on Liapounoff's theorem has been partly rewritten, and now includes a proof of the important inequality due to Berry and Esseen. The terminology has been modernized, and several minor changes have been made.
Notes	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject	STOCHASTIC PROCESSES. DISTRIBUTION (PROBABILITY THEORY) RANDOM VARIABLES.
Multimedia	https://doi.org/10.1017/CBO9780511470936