Advances and Applications in Statistics
Volume 3, Issue 1, Pages 77 - 103
(April 2003)
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A NEW FAMILY OF CIRCULAR MODELS: THE WRAPPED LAPLACE DISTRIBUTIONS
S. Rao Jammalamadaka (U. S. A.) and Tomasz J. Kozubowski (U. S. A.)
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Abstract: We introduce a new class of
asymmetric circular distributions, obtained by
wrapping skewed Laplace distributions on the
real line, around a circle. We obtain explicit
forms for the densities and distribution
functions for this family, as well as their
trigonometric moments and related parameters. We
derive basic properties of these laws and
illustrate their modeling potential using a
classical data set on orientation of ants. |
Keywords and phrases: angular data, asymmetric Laplace distribution, bird orientations, circular data, double exponential distribution, wrapped distribution. |
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