Sub-Independence: A Useful Concept (Mathematics Research Developments) - Softcover

Hamedani, G G

Softcover

ISBN 10: 1634634764 ISBN 13: 9781634634762

Publisher: Nova Science Publishers, Inc (US), 2015

Synopsis

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.

About this title

About the Author

G.G. Hamedani Professor, Marquette University, Wisconsin, USA

Edition details

• Publisher: Nova Science Publishers, Inc (US)
• Publication date: 2015
• Language: English
• ISBN 10: 1634634764
• ISBN 13: 9781634634762
• Binding: Paperback
• Number of pages: 65