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Many man-made and natural phenomena, including the intensity of earthquakes, population of cities, and size of international wars, are believed to follow power-law distributions. The accurate identifi...
A mixture of shifted asymmetric Laplace distributions is introduced and used for clustering and classi cation. A variant of the EM algorithm is developed for parameter estimation by exploiting the rel...
In Bayesian theory, calculating a posterior probability distribution is highly important but usually difficult. Therefore, some methods have been put forward to deal with such problem, among which, th...
Gauss’ principle states that the maximum likelihood estimator of the parameter in a location family is the sample mean for all samples of all sample sizes if and only if the family is Gaussian. There ...
Bayesian graphical modeling provides an appealing way to obtain uncertainty esti-mates when inferring network structures, and much recent progress has been made for Gaussian models. These models have ...
The canonical form of scale mixtures of multivariate skew-normal distribution is defined,emphasizing its role in summarizing some key properties of this class of distributions. It is also shown that t...
Skew-symmetric densities recently received much attention in the literature, giving rise to in-creasingly general families of univariate and multivariate skewed densities. Most of those families,howev...
In this paper, we show new representations of one-sided L\'{e}vy stable distributions for irrational L\'{e}vy indices of the type $\left(\frac{p}{q}\right)^{\frac{l_{2}}{l_{1}}}$ which are not covered...
There is substantial empirical and climatological evidence that precipitation extremes have become more extreme during the twentieth century, and that this trend is likely to continue as global warmi...
Two concepts of symmetry for the distributions of positive random variables $Y$ are log-symmetry (symmetry of the distribution of $log Y$) and R-symmetry [7]. In this paper, we characterise the distri...
Based on the methods provided in Caeiro and Gomes (2002) and Fraga Alves (2001), a new class of location invariant Hill-type estimators is derived in this paper. Its asymptotic distributional represen...
Let ${X_k, kgeqslant 1}$ be a stationary Gaussian sequence with partial maximum $M_n=max{X_{k},1leqslant kleqslant n}$ and sample mean $overline{X}_n=sum_{k=1}^{n}X_{k}/n$. Suppose that some of the ra...
One of the most popular class of tests for independence between two random variables is the general class of rank statistics which are invariant under permutations. This class contains Spearman's coef...
We investigate the asymptotic normality of the posterior distribution in the discrete setting, when model dimension increases with sample size. We consider a probability mass function $theta_0$ on $ma...

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