The joint density of a random sample from a mixture of two distributions is expressed as a binomial mixture of conditional densities. Then, the posterior distribution of the proportion, in a mixture of two known and distinct distributions, relative to a beta prior distribution is explored in detail and a conjugate family of prior distributions is introduced. The results are generalized 4It for ...

The objective of this study was to evaluate the ability of three statistical distributions to characterize the vertical distribution of foliage mass in canopies of even-aged loblolly pine stands, based on airborne-scanning light detection and ranging (LiDAR) data. The functions were the Weibull and SB distributions and a mixture of the lognormal and Weibull distributions. Results indicated that...

This study investigates the impact of item parameter drift (IPD) on parameter and ability estimation when the underlying measurement model fits a mixture distribution, thereby violating the item invariance property of unidimensional item response theory (IRT) models. An empirical study was conducted to demonstrate the occurrence of both IPD and an underlying mixture distribution using real-worl...

in this study, the effect of the levels of hydrogen addition to methane-air premixed flame in a micro-stepped reactor has been studied numerically. in addition, the effects of mixture velocity and walls’ thermal conductivity (kw) on the flame’s location, temperature, and species distribution in a micro reactor were calculated using a 2d numerical laminar steady code. the results showed that an ...

a series of tests and also numerical analyses were conducted to explore the mechanical behavior of a mixture of coarse gravelsize particles floating in a matrix of silt, sand or clay. the research is a step forward in an ongoing investigation on behavior of composite clay, which is used as the core material of some large embankment dams all over the world. after providing the reader with an ove...

Some structural aspects of mixtures, in general, have been previously investigated by the author in [I] and [2]. The aim of this article is to investigate some important structural properties of the special cases of Poisson and binomial mixtures in detail. Some necessary and sufficient conditions are arrived at for different modality and divisibility properties of a Poisson mixture based o...

Radial distribution (Pair correlation) functions are the primary linkage between macroscopic thermodynamics properties and intermolecular interactions of fluids and fluid mixtures. Numerous theories of mixtures exist based on the definition of the radial distribution functions. Utilization of such theories require the knowledge about mixture radial distribution functions and their relations. Ge...

Bayesian methods are used to analyse the problem of training a model to make predictions about the distribution of data that has yet to be received. Mixture distributions emerge naturally from this framework, but are not well-matched to high-dimensional problems such as arise image processing applications. An extension to partitioned mixture distributions (PMD) is presented, which is essentiall...

This article considers Bayesian methods for density regression, allowing a random probability distribution to change flexibly with multiple predictors. The conditional response distribution is expressed as a nonparametric mixture of regression models, with the mixture distribution changing with predictors. A class of weighted mixture of Dirichlet process (WMDP) priors is proposed for the uncoun...

Air pollutant emission inventories are a vital component of environmental decision-making. Errors in emission factor estimation can lead to errors in emission inventory estimation. Potential sources of error include unaccounted for variability and uncertainty. Variability refers to diversity over time or space. Uncertainty is a lack of knowledge about the true value of a quantity. Probability d...