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On level sets of smooth functions

โœ Scribed by G. A. Sukiasyan

Book ID
111505930
Publisher
Allerton Press, Inc.
Year
2010
Tongue
English
Weight
570 KB
Volume
45
Category
Article
ISSN
1068-3623

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Level sets and minimum volume sets of pr
Level sets and minimum volume sets of probability density functions
โœ Javier Nuรฑez Garcia; Zoltan Kutalik; Kwang-Hyun Cho; Olaf Wolkenhauer ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 299 KB

Summarizing the whole support of a random variable into minimum volume sets of its probability density function is studied in the paper. We prove that the level sets of a probability density function correspond to minimum volume sets and also determine the conditions for which the inverse propositio