investors use different approaches to select optimal portfolio. so, optimal investment choices according to return can be interpreted in different models. the traditional approach to allocate portfolio selection called a mean - variance explains. another approach is markov chain. markov chain is a random process without memory. this means that the conditional probability distribution of the nex...

This paper develops a theory for completely random measures in the framework of free probability. A general existence result is established, and analogy to classical work Kingman it proved that such can be decomposed into sum purely atomic part (freely) infinitely divisible part. The latter (termed Lévy basis) studied detail terms Lévy-Khintchine representation parallel Rajput Rosiński develope...

Procedures are needed for the manipulation of enzymes to introduce improved catalytic efficiencies and substrate affinities, even in the absence of information on three-dimensional structure. We previously described a selection for amino acid replacements that compensate for a large polypeptide deletion in an enzyme. The rationale is that, because of the missing polypeptide sequence, compensato...

studying risk and frequency analysis of flood is done in order to design structures located in floody lands. in hydrological and water resources engineering projects, first of all, we should determine frequency of this phenomenon- their return period. in this research, the method of planning, the cumulative freguency curve is explained and probability and return period and errors concerning sma...