Probability density functions (pdfs) are employed to evaluate the distribution of velocities in the global ocean. This study computes pdfs of ocean surface velocity using altimetric data from the TOPEX/Poseidon satellite. Results show that the shape of the observed pdfs changes with the size of the domain over which they are calculated: if data are drawn from a small region of the ocean, the pd...

This paper examines two approaches to estimating implied risk-neutral probability density functions from the prices of European-style options. It sets up a monte carlo test to evaluate alternative techniques’ ability to recover simulated distributions based on Heston’s (1993) stochastic volatility model. The paper tests both for the accuracy and stability of the estimated summary statistics fro...

A technique is presented for representing linear features as probability density functions in 2D or 3D affine space. Two chief advantages of this approach are (1) a unified representation and algebra for manipulating points, lines, and planes, and (2) seamless incorporation of uncertainty information. Applications to Euclidean and non-metric scene reconstruction are presented, with results on i...