Suppose that a geometrically distributed number of observations are available from an absolutely continuous distribution function $F$, within this set of observations denote the random number of records by $M$. This is called geometric random record model. In this paper, characterizations of $F$ are provided in terms of the subsequences entropies of records conditional on events ${M geq n}$ or ...

In the present article an energy distribution function of heterogeneous solid was estimated. Energy distribution function is an important characterization for heterogeneous adsorbent. An overall adsorption quantity for a heterogeneous solid is usually expressed by a first kind of Fredholm equation, which contains unknown distribution function and local adsorption isotherm as a kernel. The calcu...

since the rate of return on different opportunities for investment is random, the optimal distribution of ones capital is put foreward as a stochastic control problem. in this paper, using modem techniques in the theory of random functions and the stochsatic calculus, the problem is discussed for the case when the information possessed by the different investors, as well as their probability be...