%0 Journal Article %T Consistent Estimation of Pricing Kernels from Noisy Price Data %A Vladislav Kargin %J Mathematics %D 2003 %I arXiv %X If pricing kernels are assumed non-negative then the inverse problem of finding the pricing kernel is well-posed. The constrained least squares method provides a consistent estimate of the pricing kernel. When the data are limited, a new method is suggested: relaxed maximization of the relative entropy. This estimator is also consistent. Keywords: $\epsilon$-entropy, non-parametric estimation, pricing kernel, inverse problems. %U http://arxiv.org/abs/math/0310223v1