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| optAUC-package | Optimal Combinations of Diagnostic Tests Based on AUC |
| AUC | Function for AUC with sigmoid estimate |
| AUC.emp | Function for AUC when input is X and Y |
| beta2theta | Function to translate beta into theta, the n-sphere constrain |
| betahat | Function for estimating beta using kernal function |
| gradAUC.Lang | Function for gradient of AUC after applying Lagrange Multiplyer |
| gradsqr | The function of grad_square in the GCV |
| hessAUC | function for hessian matrix of AUC |
| nlsolve | solve nonlinear function |
| optAUC | Optimal Combinations of Diagnostic Tests Based on AUC |
| theta2beta | Function to translate theta to beta, the n-sphere constrain |