This paper establishes that every random utility discrete choice model (RUM) has a representation that can be characterized by a choice-probability generating function (CPGF) with speci c properties, and that every function with these speci c properties is consistent with a RUM. The choice probabilities from the RUM are obtained from the gradient of the CPGF. Mixtures of RUM are characterized b...

From the integration of nonsymmetrical hyperboles, a one-parameter generalization of the logarithmic function is obtained. Inverting this function, one obtains the generalized exponential function. Motivated by the mathematical curiosity, we show that these generalized functions are suitable to generalize some probability density functions pdfs . A very reliable rank distribution can be conveni...

in this paper, multi-microgrids (mmg) are considered as future smart distribution grids, in which small scale energy resources (sser) are main power generation units with small scales. optimal operation of microgrids in defined intervals is carried out to achieve economic conditions in distribution systems. the defined operating problem is optimized using a heuristic algorithm considering uncer...

We construct a class of generalized q-deformed coherent states (Gq-CS) and we introduce generalization the Euler probability distribution for which write down generating function. As application, discuss statistics number operator in these Gq-CS with respect to many parameters.