Headline constraints on cosmological parameters from current weak lensing surveys are derived two-point statistics that known to be statistically sub-optimal, even in the case of Gaussian fields. We study performance a new fast implementation Quadratic Maximum Likelihood (QML) estimator, optimal for fields, test Pseudo-Cl estimators upcoming and quantify gain more method. Through use realistic ...

In complex statistical models, in which exact computation of the likelihood is intractable, Monte Carlo methods can be applied to approximate maximum estimates. this paper we consider approximation obtained via Markov chain Carlo. We prove consistency and asymptotic normality resulting estimator, when both sample sizes (the initial one) tend infinity. Our results models with intractable normali...

In this paper we present a new technique to obtain estimators for parameters of ergodic processes. When a diffusion is ergodic its transition density converges to the invariant density [1]. This convergence enabled us to introduce a sample partitioning technique that gives, in each sub-sample, observations that can be treated as independent and identically distributed. Within this framework, is...