This article develops unbiased weighted variance and skewness estimators for overlapping return distributions. These estimators extend the variance estimation methods constructed in Bod et. al. (Applied Financial Economics 12:155-158, 2002) and Lo and MacKinlay (Review of Financial Studies...

Traditional plain vanilla options can be regarded as options on a simple return. These options have convex payoffs and as a consequence of Jensen's inequality, their prices are increasing as a function of maturity in the absence of interest rate. This makes long dated call options as excessively...

This article develops unbiased weighted variance and skewness estimators for overlapping return distributions. These estimators extend the variance estimation methods constructed in Bod et. al. and Lo and MacKinlay. In addition, they may be used in overlapping return variance or skewness ratio...

Information Geometry provides a correspondence between differential geometry and statistics through the Fisher Information matrix. In particular, given two models from the same parametric family of distributions, one can define the distance between these models as the length of the shortest...