Sub-Independence
A Useful Concept
First edition
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Author
Publication
2015 - Nova Science Publishers Inc., New York, USA
Language
English
Word Count
22,500 words, Guess
Page Count
90 pages
Physical Format
Paperback
Identifiers
- ISBN-101634634764
- ISBN-139781634634762
- Library of Congress Control Number2014043169
- OCLC Control Number1013351365
- Better World Books9781634634762
and 1 more
- Open LibraryOL30903731M
Classifications
- DDC519.2/4
- LCCQA273 .S765 2015
- LCCQA273.S765 2015
Description
The concept of sub-independence is defined in terms of the convolution of the distributions of random variables, providing a stronger sense of dissociation between random variables than that of uncorrelatedness. If statistical tests reject independence but not lack of correlation, a model with sub-independent components can be appropriate to determine the distribution of the sum of the random variables. This monograph presents most of the important classical results in probability and statistics based on the concept of sub-independence. This concept is much weaker than that of independence and yet can replace independence in most limit theorems as well as well-known results in probability and statistics. This monograph, the first of its kind on the concept of sub-independence, should appeal to researchers in applied sciences where the lack of independence of the uncorrelated random variables may be apparent but the distribution of their sum may not be tractable.
Subjects
Series Statement
- Mathematics Research Developments
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