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In this paper we introduce bivariate sinh-normal distribution, which has seven parameters. Due to presence of seven parameters it is a very flexible distribution .Different properties of this new distribution has been established. We consider a bivariate model which can be obtained by transforming the sinh-normal distribution and it is a generalization of the bivariate Birnbaum-Saunders distribution. Several properties of the bivariate Birnbaum-Saunders distribution can be obtained as special cases of the proposed generalized bivariate Birnbaum-Saunders distribution. Twenty three patients responded (≥50% reduction in the score), and 17 of them also reached criteria of remission (HDRS≤ 7). Baseline (dexamethasone suppressed) and CRH stimulated ACTH concentrations significantly decreased from day 0 to day 28. CRH stimulated cortisol concentrations also fell, although not significantly, but baseline cortisol concentrations exhibited a significant increase from day 0 to day 28.Finally we conclude that the medical curve and Mathematical curve for disease control is higher than the probability density functions which are monotonic functions.

A Mathematical model for Impact of citalopram on the HPA system and combined DEX/CRH test in 30 unipolar depressed patients.