An Explicit Distribution to Model the Proportion of Heating Degree Day and Cooling Degree Day

Abstract

With a view to estimating the energy consumption we derive the explicit distribution of the proportion X/(X + Y) when X and Y follow the new Bivariate Affine-Linear Exponential (BALE) distribution proposed by [Mohsin et al.(2014)]. An application of this distribution to model the proportion of heating using the heating degree day and the cooling degree day data in the State of Alabama for Appalachian Mountain is provided. Using intensive computations based on Rprograms, tabulation of some quantiles associated with this particular distribution of proportion is also provided which is quite useful in estimating the proportion of energy required to heat a building.