Abstract. We present predictions for cosmological parameter constraints from combined measurements of second- and third-order aperture mass statistics of cosmic shear. The generalized third-order aperture mass is introduced and its relation to the convergence bispectrum is given. This quantity contains (in principle) all information about the bispectrum. Using ray-tracing simulations, we perform a Fisher nratrix analysis for various cosmological parameters and show that the combination of {Mlp) and (Mfp) improves the parameter estimation significantly
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