Let X be a non-negative random variable (r.v.) with cumulative distribution function (cdf) F. Suppose X(r, n,m, k), (r = 1, 2, . . . , n), m is a real number and k ≥ 1, is the rth smallest generalized order statistic. Several distributional properties of the generalized order statistics from exponential distribution are given. Some characterizations of the exponential distribution based on the ...

A generalized notion of higher order nonclassicality (in terms of higher order moments) is introduced. Under this generalized framework of higher order nonclassicality, conditions of higher order squeezing and higher order subpoissonian photon statistics are derived. A simpler form of the Hong-Mandel higher order squeezing criterion is derived under this framework by using an operator ordering ...

The generalized Maxwell equations including an additional scalar field are considered in the first order formalism. The gauge invariance of the Lagrangian and equations is broken resulting the appearance of a scalar field. We find the canonical and symmetric energy momentum tensors. It is shown that the trace of the symmetric energymomentum tensor is not equal to zero in the theory considered. ...

The generalized divided differences are introduced. They are applied to investigate some properties characterizing generalized higher-order convexity. Among others some support-type property is proved.

Gamma is a programming model where computation is seen as chemical reactions between data represented as molecules floating in a chemical solution. Formally, this model is represented by the rewriting of a multiset where rewrite rules model the chemical reactions. Recently, we have proposed the γ-calculus, a higher-order extension, where the rewrite rules are first-class citizen. The work prese...

The concept of generalized order statistics (GOSs) was introduced as a unified approach to a variety of models of ordered random variables. The purpose of this paper is to investigate conditions on the underlying distribution functions and the parameters on which GOSs are based, to establish Shaked-Shanthikumar multivariate dispersive ordering of GOSs from one sample and Khaledi-Kochar multivar...

In this paper, we consider a generalized multivariate regression problem where the responses are monotonic functions of linear transformations of predictors. We propose a semi-parametric algorithm based on the ordering of the responses which is invariant to the functional form of the transformation function. We prove that our algorithm, which maximizes the rank correlation of responses and line...

In a wide subclass of generalized order statistics, representations of marginal density and distribution functions are developed. The results are applied to obtain several relations, such as recurrence relations, and explicit expressions for the moments of generalized order statistics from Pareto, power function and Weibull distributions. Moreover, characterizations of exponential distributions...

We present a general approach for describing chemical processes (bond breaking and bond formation) in materials using force elds (FF) that properly describe multiple bonds at small distances while describing nonbond (Coulomb and van der Waals) interactions at long distances. This approach is referred to as the generalized extended empirical bond-order dependent (GEEBOD) FF. In this paper we use...

Statistics A Journal of Theoretical and Applied Statistics Publication details, including instructions for authors and subscription information: http://www.informaworld.com/smpp/title~content=t713682269 Distributions of exceedances of generalized order statistics Ismihan Bairamov a; Halil Tanil b a Department of Mathematics Izmir, University of Economics, Izmir, Turkey b Department of Statistic...