In actuarial statistics, distributions with heavy tails are of great interest to actuaries, as they represent a better description risk exposure through type indicator certain probability. These indicators used determine companies’ particular risk. this paper, we present distribution right tail, studying its properties and the behaviour tail. We estimate parameters using maximum likelihood meth...

Different samples have been prepared from different products in Chadormalu iron ore concentrator plant: Low intensity magnetite separators concentrate (magnetite concentrate), reverse flotation tail (final hematite concentrate), flotation concentrate (apatite concentrate), final tail (L.I.M.S. tail + reverse flotation concentrate+ apatite flotation tail). The samples were used for rare eart...

We consider a multivariate heavy-tailed stochastic volatility model and analyze the large-sample behavior of its sample covariance matrix. We study the limiting behavior of its entries in the infinite-variance case and derive results for the ordered eigenvalues and corresponding eigenvectors. Essentially, we consider two different cases where the tail behavior either stems from the iid innovati...

OpenStreetMap (OSM) constitutes an unprecedented, free, geographical information source contributed by millions of individuals, resulting in a database of great volume and heterogeneity. In this study, we characterize the heterogeneity of the entire OSM database and historical archive in the context of big data. We consider all users, geographic elements and user contributions from an eight-yea...

A new approach to goodness-of-fit for Pareto distributions is introduced. Based on Euclidean distances between sample elements, the family of statistics and tests is indexed by an exponent in (0,2) on Euclidean distance. The corresponding tests are statistically consistent and have excellent performance when applied to heavy-tailed distributions. The exponent can be tailored to the particular P...

A Bayesian analysis of a skewed exponential power distribution has been performed. The skewed exponential power family includes the symmetric exponential power distribution as a particular case and provides flexible distributions with lighter and heavier tails compared to the normal one. The distributions of this family can successfully handle both symmetry/asymmetry and light/heavy tails simul...

We specifically discussed the power law degree distribution which has degree distribution pk = C ·k−α where C is a constant and α > 1. While not all degree distributions will be power law, many of the degree distributions of observed networks will be heavy-tailed or long-tailed distributions. A heavy-tailed distribution is a distribution that is “heavier” than the exponential distribution. Here...

—Amidst the conflicting experimental evidence of superiority of one over the other, we investigate the Sum and majority Vote combining rules in a two class case, under the assumption of experts being of equal strength and estimation errors conditionally independent and identically distributed. We show, analytically, that, for Gaussian estimation error distributions, Sum always outperforms Vote....