We examine two different methods of deriving the market's risk neutral implied probability density function. We examine the butterfly structure method and the more industry standard ...

In the nonparametric setup, smooth density estimators are obtained by using a kernel function and it is used to account for contribution of each observation to the estimator. Generally, these kernel ...

Journal of the Royal Statistical Society. Series C (Applied Statistics), Vol. 45, No. 2 (1996), pp. 135-150 (16 pages) Motivated by the line transect aerial surveys of Southern Bluefin Tuna in the sea ...

Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which uniformly ...