program burr7asinh
version 13.0
args lnf Xb Xd
tempvar sigma
tempvar mu
quietly {
   gen double `sigma' = exp(`Xd')
   gen double `mu' = `Xb'
   replace `lnf' = -log(4) - log(`sigma') + 2 * log(1/cosh((-`mu' ///
	- (1 - 2 * $ML_y1)/(2 * (1 - $ML_y1) * $ML_y1))/`sigma')) ///
	- 2 * log(1 - $ML_y1) - 2 * log($ML_y1) + log(1 - 2 * (1 - $ML_y1) * $ML_y1)
	}
end
/*
This distribution is from the CDF-quantile family presented in 
Smithson, M. & Shou, Y. (2017). CDF-quantile distributions for modeling 
random variables on the unit interval. 
British Journal of Mathematical and Statistical Psychology, 70(3), 412-438. 
*/