Estimation and Representation of Ship's Position Error, II : Two-dimensional Joint Probability Density

Flexible estimation of joint probability and joint cumulative density functions

The aim of this reported work is to extend a recent, simple and effective algorithm for the estimation of the probability density function and cumulative density function to the case of bidimensional random vectors. The algorithm is based on an information maximisation approach. The nonlinear bidimensional function involved in the algorithm is adaptively modified during learning and is implemen...

Joint probability density function estimation by spectral estimate methods

Estimation of probability density functions (PDFs) of a given random variable (r.v.) is involved in topics related to codification, speech or whenever a short record of data is available but a greater amount is needed. Existing methods go from the so-called Minimum Description-Length method, up to others based on the maximisation of the differential entropy imposing constraints on the moments o...

High-Dimensional Probability Estimation with Deep Density Models

One of the fundamental problems in machine learning is the estimation of a probability distribution from data. Many techniques have been proposed to study the structure of data, most often building around the assumption that observations lie on a lower-dimensional manifold of high probability. It has been more difficult, however, to exploit this insight to build explicit, tractable density mode...

Relationship between the Rayleigh Density and Some Well Known Probability Densities 10 Joint Probability Density Function of Two Independent Rayleigh

An Opertional Method for The Numerical Solution of Two Dimensional Linear Fredholm Integral Equations With an Error Estimation