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...

The problem of blind separation of sources is generally solved by using statistical criteria, minimization of contrast function [2], [8], cancelation or minimization of a cost functions [6], [5], [4], [3]. However, using prior knowledge on the sources, new algorithms, basically simpler and more e cient, may be derived [9], [1], [7]. In this paper, assuming that sources have bounded probability ...

Fertility rate is one of the most important global indexes. Past researchers found models which fit to age-specific fertility rates. For example, mixture probability density functions have been proposed for situations with bi-modal fertility patterns. This model is less useful for unimodal age-specific fertility rate patterns, so a model based on skew-symmetric (skew-normal) pdf was proposed by...

This work shows how the probability density function (PDF) of the turbulent velocity fluctuation can be estimated from the deconvolution of ensemble averaged cross-correlation and auto-correlation functions of PIV recordings. Once the PDF is known, the mean displacement, the Reynolds stresses as well as higher order moments can reliable be estimated. The approach was tested on synthetic PIV ima...

This paper investigates the asymptotic properties of the likelihood ratio statistic for testing homogeneity in normal mixture models in the presence of a structural parameter. The asymptotic null distributions of the ordinary likelihood ratio statistic and the modified likelihood ratio statistic are the same, having the probability density function(pdf) (1/2)g1(x)+(1/2)g2(x) where g1(x) and g2(...

A n experimental investigation of a solid–liquid dispersion pipe flow was conducted using a pulsed ultrasonic Doppler velocimeter. The solid phase was composed of buoyant particles dispersed in water. This particular two-phase flow was used to mimic the behaviour of ice–water flow. Four diagnostics were used to study the complex nature of the two-phase flow mixtures: mean velocity profiles, spa...

Novel auxiliary truncated unscented Kalman filtering (ATUKF) is proposed for bearings-only maneuvering target tracking in this paper. In the proposed algorithm, to deal with arbitrary changes in motion models, a modified prior probability density function (PDF) is derived based on some auxiliary target characteristics and current measurements. Then, the modified prior PDF is approximated as a G...

This paper intends to study the characteristics of VBR MPEG sources and performs models for their traffic behaviour. Our analysis focuses on long-time MPEG video films, approximately 27 min. Known probability density functions (pdf) are presented which fit well with real the pdf of I, P, B and Group of pictures (GOP) frames. In order to approximate the traffic behaviour, we study the autocovari...