Random contractions in continuous discounting of Bernoulli selecting processes arising in systemics

The formulation, investigation, and application of stochastic models constitute research activities of exceptional theoretical and practical importance. In particular, stochastic discounting models are adopted as strong analytical tools with very extensive applicability for solving difficult problems in a very wide variety of practical disciplines. The main research intention of the paper is the theoretical investigation of a formulated stochastic discounting model. More precisely, the paper establishes sufficient conditions for embedding the formulated stochastic discounting model into the extremely useful class of random contractions of Bernoulli selecting processes. Moreover, the paper makes quite clear the role of the formulated stochastic model in the leading discipline of systemics.