Expected values of functionals with respect to the Ito distribution

a comparison of teachers and supervisors, with respect to teacher efficacy and reflection

supervisors play an undeniable role in training teachers, before starting their professional experience by preparing them, at the initial years of their teaching by checking their work within the proper framework, and later on during their teaching by assessing their progress. but surprisingly, exploring their attributes, professional demands, and qualifications has remained a neglected theme i...

Distribution of minimum values of stochastic functionals

Some mathematical problems of mechanics and physics have a form of the following variational problem. There is a functional, I, which is a sum of some quadratic positive functional and a linear functional. The quadratic functional is deterministic. The linear functional is a sum of a large number, N , of statistically independent linear functionals. The minimum value of the functional, I; is ra...

Efficiency distribution and expected efficiencies in DEA with imprecise data

Several methods have been proposed for ranking the decision-making units (DMUs) in data envelopment analysis (DEA) with imprecise data. Some methods have only used the upper bound efficiencies to rank DMUs. However, some other methods have considered both of the lower and upper bound efficiencies to rank DMUs. The current paper shows that these methods did not consider the DEA axioms and may be...

A Representation for Characteristic Functionals of Stable Random Measures with Values in Sazonov Spaces

Representation of functionals of Ito processes in bounded domains via parabolic Ito equations

Representation of functionals of non-Markov processes is studied for bounded and unbounded domains. These functionals are represented via solutions of backward parabolic Ito equations. This results is based on an analog of the second fundamental inequality and the related existence theorem are obtained for backward parabolic Ito equations. AMS 1991 subject classification: Primary 60J55, 60J60, ...