Inversion and representation theorems for a generalized Laplace integral

Preliminary Note on the Inversion of the Laplace Integral.

uniformly for 0 < t < c. This result was obtained earlier by E. Post2 under the restriction of continuity on sp(t) but without the condition that p(t) approaches a limit as t becomes infinite. On the other hand the uniformity of the approach was not obtained by Post. In the present note we sketch a theory whereby the integral equation (1) may be solved with no restriction on so(t) as to continu...

THE REPRESENTATION OF e~* AS A LAPLACE INTEGRAL

Asymmetric Univariate and Bivariate Laplace and Generalized Laplace Distributions

Alternative specifications of univariate asymmetric Laplace models are described and investigated. A more general mixture model is then introduced. Bivariate extensions of these models are discussed in some detail, with particular emphasis on associated parameter estimation strategies. Multivariate versions of the models are briefly introduced.

Set-Valued Stochastic Lebesgue Integral And Representation Theorems

In this paper, we shall firstly illustrate why we should introduce set-valued stochastic integrals, and then we shall discuss some properties of set-valued stochastic processes and the relation between a set-valued stochastic process and its selection set. After recalling the Aumann type definition of stochastic integral, we shall introduce a new definition of Lebesgue integral of a set-valued ...

Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonself-mappings

In this paper, we introduce and study a new iterative scheme toapproximate a common xed point for a nite family of generalized asymptoticallyquasi-nonexpansive nonself-mappings in Banach spaces. Several strong and weakconvergence theorems of the proposed iteration are established. The main resultsobtained in this paper generalize and rene some known results in the currentliterature.