This paper presents a new control strategy for stochastic distribution shape tracking regarding non-Gaussian non-linear systems. The objective can be summarised as adjusting the probability density function (PDF) of system output to any given desired distribution. In order achieve this objective, PDF has first been formulated analytically, which is time-variant. Then, vectorisation implemented ...

The square map is one of the functions that is used in cryptography. For instance, the square map is used in Rabin encryption scheme, block cipher RC6 and stream cipher Rabbit, in different forms. In this paper we study a special case of the square map, namely the square function modulo a power of two. We obtain probability distribution of the output of this map as a vectorial Boolean function....

in this study, we considered an inflationary inventory control model under non-deterministic conditions. we assumed the inflation rate as a normal distribution, with any arbitrary probability density function (pdf). the objective function was to minimize the total discount cost of the inventory system. we used two methods to solve this problem. one was the classic numerical approach which turne...

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.

This paper introduces a new probability model that is the modified generalized inverted exponential distribution. This new probability model is a generalization of the well-known inverted exponential distribution as a special case. Statistical and reliability properties of the modified version are derived. Shapes for the probability density function, reliability function and failure rate functi...