Applications of Gaussian mixture models occur frequently in the fields of statistics and artificial neural networks. One of the key issues arising from any mixture model application is how to estimate the optimum number of mixture components. This paper extends the Reversible-Jump Markov Chain Monte Carlo (MCMC) algorithm to the case of multivariate spherical Gaussian mixtures using a hierarchi...

A new mathematical model for analyzing data and predicting the effect of mixtures of toxic substances is presented as a generalized form of the concentration addition model. The proposed method, the generalized concentration addition (GCA) model, can be applied to mixtures with arbitrary strengths of interactions (synergistic or antagonistic). It requires mixture effect data for least 1 exposur...

One of the modern techniques of mixture separation is the application of liquid membranes. They reveal the ability of selective transport of mixture components in which a liquid membrane constitutes a separate phase which separates two other liquid or gas phases. This property of membranes makes them useful in the textile and food industries, in hydrometallurgy, medicine, biotechnology, environ...

Decomposition of absorption spectra using linear regression has been proposed for calculating concentrations of mixture compounds. The method is based on projecting the observed mixture spectrum onto the linear space generated by the reference spectra that correspond to the individual components comprising the mixture. The computed coefficients are then used as estimates for concentration of th...

We present the results of multivariate normal mixture modeling of Piagetian data. The sample consists of 101 children, who carried out a (pseudo-)conservation computer task on four occasions. We fitted both cross-sectional mixture models, and longitudinal models based on a Markovian transition model. Piagetian theory of cognitive development provides a strong basis for the number and interpreta...

Gas chromatography-mass spectroscopy (GC-MS) is one of the so-called hyphenated analytical techniques. As the name implies, it is actually two techniques that are combined to form a single method of analyzing mixtures of chemicals. Gas chromatography separates the components of a mixture and mass spectroscopy characterizes each of the components individually. By combining the two techniques, an...

BACKGROUND Greater epidemiologic understanding of the relationships among fetal-infant mortality and its prognostic factors, including birthweight, could have vast public health implications. A key step toward that understanding is a realistic and tractable framework for analyzing birthweight distributions and fetal-infant mortality. The present paper is the first of a two-part series that intr...

An alternative process for the analysis of mixture library components for their potential as selectors for chiral chromatography is described. The procedure involves the immobilization of each enantiomer of the target racemic analyte to silica gel, followed by incubation of each resulting stationary phase with a mixture library. The adsorbed library components on the two stationary phases are t...

A strain of Bacillus polymyxa produced a new peptide antibiotic complex, named LI-F, composed of more than ten components. The components, antibiotics LI-F03, F04, F05, F07, and F08 were isolated from the complex by reversed phase HPLC. They are active against fungi, yeasts, and Gram-positive bacteria. The fast atom bombardment mass spectra revealed that the individual isolated antibiotics are ...

Abstract: This article focuses on the study of mixture density under Type I censoring scheme by taking Maxwell distribution as a life time model. In this paper we sculpt a heterogeneous population by means of two components mixture of the Maxwell distribution. We derive the maximum likelihood estimators using type-I censored data and also their variances matrix. The problem with ML estimators i...