Journal of applied mathematics & informatics
- Volume 24 Issue 1_2
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- Pages.221-230
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- 2007
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
THE BIVARIATE GAMMA EXPONENTIAL DISTRIBUTION WITH APPLICATION TO DROUGHT DATA
Abstract
The exponential and the gamma distributions have been the traditional models for drought duration and drought intensity data, respectively. However, it is often assumed that the drought duration and drought intensity are independent, which is not true in practice. In this paper, an application of the bivariate gamma exponential distribution is provided to drought data from Nebraska. The exact distributions of R=X+Y, P=XY and W=X/(X+Y) and the corresponding moment properties are derived when X and Y follow this bivariate distribution.
Keywords
- Bivariate gamma exponential distribution;
- drought data;
- product of random variables;
- ratio of random variables;
- sum of random variables