The construction of regions with assigned probability p and minimum geometric measure has theoretical and practical interests, such as the construction of tolerance regions. Following Azzalini (2001) and exploiting the normal approximation of the extended skew-normal distribution when some of its parameters go to infinity, we discuss an approach for the construction of regions with assigned probability p for the bivariate extended skew-normal distribution.

A note on regions of given probability for the extended skew-normal distribution

CANALE, Antonio
2015-01-01

Abstract

The construction of regions with assigned probability p and minimum geometric measure has theoretical and practical interests, such as the construction of tolerance regions. Following Azzalini (2001) and exploiting the normal approximation of the extended skew-normal distribution when some of its parameters go to infinity, we discuss an approach for the construction of regions with assigned probability p for the bivariate extended skew-normal distribution.
2015
44
2507
2516
Skew-normal; tolerance regions; normal approximation
CANALE A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/131988
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