Bivariate Exponential and Related Distributions

Estimation of single‐family residential irrigation demand management effectiveness

“…On the basis of the validity of using exponential marginal distributions shown previously as well as the general shape of the joint pdf, the bivariate exponential distribution was tested as a representative distribution. Balakrishnan and Lai (2009) provide a literature review of the wide range of formulations and applications for bivariate exponential distributions. A primary use has been in the modeling of correlated failure times of components in electrical and mechanical systems (Balakrishnan & Lai, 2009).…”

“…Balakrishnan and Lai (2009) provide a literature review of the wide range of formulations and applications for bivariate exponential distributions. A primary use has been in the modeling of correlated failure times of components in electrical and mechanical systems (Balakrishnan & Lai, 2009). Many forms of bivariate exponential distributions exist that operate for different ranges of the correlation coefficient, although only the Gumbel type 1 (–0.40365 ≤ ρ ≤ 0) and Gumbel type 2 (–0.25 ≤ ρ ≤ 0.25) allow for negative correlation.…”