In the Journal of Hydrological Sciences (April 2000), the bivariate normal distribution was used to model the
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In the Journal of Hydrological Sciences (April 2000), the bivariate normal distribution was used to model the joint distribution of annual storm peak (i.e., maximum rainfall intensity) and total yearly rainfall amount in Tokushima, Japan. Let X represent storm peak and Y represent total amount of rainfall. Then the bivariate normal distribution is given by
where μx and μy are the means for X and Y, respectively, and σx and σy are the standard deviations for X and Y, respectively. Use the properties of density functions to show that when ρ = 0, X and Y are independent.
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Statistics For Engineering And The Sciences
ISBN: 9781498728850
6th Edition
Authors: William M. Mendenhall, Terry L. Sincich
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