The stochastic literature contains several extensions of the exponential distribution which increase its applicability and flexibility. In present article, some properties a new power modified family with an original Kies correction are discussed. This is defined as domain transformed by another distribution. Its probabilistic investigated limitations for saturation in Hausdorff sense derived. ...

Barber and Rozwadowska-Dowzenko (1948) recorded that naturally resistant penicillinase-producing staphylococci found within hospital communities had increased in the previous successive three years from 14% to 38% and then to 59%. Forbes (1949) isolated resistant staphylococci from 23 out of 50 nurses. Martin and Whitehead (1949) examined the nose, throat, saliva, and skin of 50 medical student...

We consider a mean-variance portfolio selection problem in financial market with contagion risk. The risky assets follow jump-diffusion model, which jumps are driven by multivariate Hawkes process mutual-excitation effect. feature of the captures risk sense that each price jump an asset increases likelihood future not only same but also other assets. apply stochastic maximum principle, backward...

In this paper, we consider the pricing problem for extremum options by constructing a double nonaffine stochastic volatility model. The joint characteristic function of logarithm two asset prices is derived using Feynman–Kac theorem and one-order Taylor approximation expansion. semiclosed analytical formulas European including option on maximum minimum underlying assets are measure change techn...

‎this paper deals with one problem that needs to be addressed in the emerging field known under the name computing with perceptions‎. ‎it is the problem of describing‎, ‎approximately‎, ‎a given fuzzy set in natural‎ ‎language‎. ‎this problem has lately been referred to as the problem of retranslation‎. ‎an approaches to ‎dealing with the retranslation problem is discussed in the paper‎, ‎that ...