The paper considers upper semicontinuous behavior in distribution of sequences of random closed sets. Semiconvergence in distribution will be described via convergence in distribution of random variables with values in a suitable topological space. Convergence statements for suitable functions of random sets are proved and the results are employed to derive stability statements for random optim...

Bayesian inference often requires approximating the posterior distribution by Markov chain Monte Carlo sampling. The samples come from the true distribution only after the simulation has converged, which makes detecting convergence a central problem. Commonly, several simulation chains are started from different points, and their overlap is used as a measure of convergence. Convergence measures...

in this paper, we introduce a new type of almost statistical convergence of generalized difference sequences of fuzzy numbers. we give the relations between the strongly almost cesàro type convergence and almost statistical convergence in these spaces. furthermore, we study some of their properties like completeness, solidity, symmetricity etc. we also give some inclusion relations related to t...

If Newton's method is used to nd a solution of an equation on a Ba-nach space, and the Fr echet-derivative is singular at the solution, the convergence of Newton iterates to the solution is linear rather than quadratic. In this study we employ the inexact Newton method to restore quadratic convergence, especially in cases when Newton's or the corrected Newton's method cannot achieve this or can...