Some estimations and inequalities are given for the higher order central moments of a random variable taking values on a finite interval. An application is considered for estimating the moments of a truncated exponential distribution.

Nonindependent evolution of duplicated genes is called concerted evolution. In this article, we study the evolutionary process of duplicated regions that involves concerted evolution. The model incorporates mutation and gene conversion: the former increases d, the divergence between two duplicated regions, while the latter decreases d. It is demonstrated that the process consists of three phase...

We prove the exponential law A(E × F,G) ∼= A(E,A(F,G)) (bornological isomorphism) for the following classes A of test functions: B (globally bounded derivatives), W∞,p (globally p-integrable derivatives), S (Schwartz space), B[M ] (globally Denjoy–Carleman), W [M ],p (Sobolev– Denjoy–Carleman), and S [M ] [L] (Gelfand–Shilov). Here E,F,G are convenient vector spaces (finite dimensional in the c...

In this study, a new statistical distribution called as Transmuted Exponential Power using the quadratic rank transmutation map introduced by Shaw and Buckley [23,24] is suggested. The various mathematical properties of are examined. method maximum likelihood estimation has been used to estimate unknown parameters distribution. Moreover, real data analysis compare with other some distributions ...

Thermophoresis, also termed thermal diffusion or the Soret effect, moves particles along temperature gradients. For particles in liquids, the effect lacks a theoretical explanation. We present experimental results at moderate thermal gradients: (i) Thermophoretic depletion of 200 nm polystyrene spheres in water follows an exponential distribution over 2 orders of magnitude in concentration; (ii...

A characterization of the exponential stability of evolutionary rocesses in terms of the admissibility of some pairs of spaces, is given. The method of ”test functions” from a very large class of spaces is used. Thus are obtained generalizations of some results given by N. van Minh, F. Rabiger and R. Schnaubelt.

We present general results on the identifiability of finite mixtures of elliptical distributions under conditions on the characteristic generators or density generators. Examples include the multivariate t distribution, symmetric stable laws, exponential power and Kotz distributions. In each case, the shape parameter is allowed to vary in the mixture, in addition to the location vector and the ...

We present a new method, based on the method of maximum entropy in the mean, which builds upon the standard method of maximum entropy, to improve the parametric estimation of a decay rate when the measurements are corrupted by large level of noise and, more importantly, when the number of measurements is small. The method is developed in the context on a concrete example: that of estimation of ...

A surprisingly diverse variety of foragers have previously been concluded to exhibit movement patterns known as Lévy flights, a special type of random walk. These foragers range in size from microzooplankton in experiments to fishermen in the Pacific Ocean and the North Sea. The Lévy flight conclusion implies that all the foragers have similar scale-free movement patterns that can be described ...