1 INTRODUCTION

2 THEORY
2.1 Gravitational lensing
2.2 Weak lensing observables
2.3 Estimation of cosmological parameters

3 METHODS
3.1 N-body simulations
3.2 Lensing simulations
3.3 Estimation of the model predictions
3.4 Estimation of the measurement uncertainties and data covariances

4 RESULTS
4.1 Effects of primordial non-Gaussianity on lensing observables
4.2 Error analysis
4.3 The covariance of the lensing statistics
4.4 Derivatives of the lensing observables
4.5 Cosmological constraints
4.6 Biases induced by neglecting non-Gaussianity

5 SUMMARY AND DISCUSSION