A new bivariate Gamma distribution generated from functional scale parameter with application to drought data

Mohsin, Muhammad; Gebhardt, Albrecht; Pilz, Jürgen; Spöck, Gunter

doi:10.1007/s00477-012-0641-6

Cited by 3 publications

(1 citation statement)

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“…derive the distribution of the ratio when X and Y are Fréchet independent random variables. [Mohsin et al(2013)] develop the distribution of the proportion when X and Y follow the bivariate Gamma distribution generated from functional scale parameter and model the proportion of drought. In addition to these, the distribution of the ratio derived from some other bivariate families of distributions is studied by several authors such as [Press (1969)] for Student t family, [Basu and Lochner(1971)] for Weibull family, [Hawkins and Han (1986)] for non-central Chi-squared family, [Provost (1989)] for Gamma family, etc.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

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

Mohsin

Pilz

Gebhardt

2014

Communications in Statistics - Simulation and Computation

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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.

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Section: Accepted Manuscriptmentioning

confidence: 99%