Abstract #301998

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JSM 2003 Abstract #301998
Activity Number: 49
Type: Contributed
Date/Time: Sunday, August 3, 2003 : 4:00 PM to 5:50 PM
Sponsor: Section on Statistics & the Environment
Abstract - #301998
Title: Symmetry under a Skew Laplace Model---A Bridge to Knowledge about Pacific Climate
Author(s): Anna K. Panorska*+ and Tomasz J. Kozubowski and Franco Biondi
Companies: University of Nevada, Reno and University of Nevada, Reno and University of Nevada
Address: Dept. of Mathematics-084, Reno, NV, 89557-0001,
Keywords: skew Laplace ; test for skewness ; climate modeling ; Pacific Decadal Oscillation modeling
Abstract:

We develop tests of hypothesis about symmetry based on samples from possibly asymmetric Laplace distributions and present exact and limiting distribution of the test statistics. We postulate that the test statistic derived under the Laplace model is a rational choice as a measure of skewness and can be used in testing symmetry for other, quite general classes of skew distributions. Our results were developed in response and are applied to a climate research problem of modeling Pacific Decadal Oscillation--an interdecadal mode of variability of the Pacific climate with strong influence upon weather patterns over North America.

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