We derived constraints on cosmological parameters using weak lensing peak statistics measured on the \sim 130 \deg ^ { 2 } of the Canada-France-Hawaii Telescope Stripe 82 Survey ( CS82 ) .
This analysis demonstrates the feasibility of using peak statistics in cosmological studies .
For our measurements , we considered peaks with signal-to-noise ratio in the range of \nu = [ 3 , 6 ] .
For a flat \Lambda CDM model with only ( \Omega _ { m } , \sigma _ { 8 } ) as free parameters , we constrained the parameters of the following relation \Sigma _ { 8 } = \sigma _ { 8 } ( \Omega _ { m } / 0.27 ) ^ { \alpha } to be : \Sigma _ { 8 } = 0.82 \pm 0.03 and \alpha = 0.43 \pm 0.02 .
The \alpha value found is considerably smaller than the one measured in two-point and three-point cosmic shear correlation analyses , showing a significant complement of peak statistics to standard weak lensing cosmological studies .
The derived constraints on ( \Omega _ { m } , \sigma _ { 8 } ) are fully consistent with the ones from either WMAP9 or Planck .
From the weak lensing peak abundances alone , we obtained marginalised mean values of \Omega _ { m } = 0.38 ^ { +0.27 } _ { -0.24 } and \sigma _ { 8 } = 0.81 \pm 0.26 .
Finally , we also explored the potential of using weak lensing peak statistics to constrain the mass-concentration relation of dark matter halos simultaneously with cosmological parameters .