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Convergence for step line processes under summation of random indicators and models of market pricing. (English) Zbl 1018.60034
Summary: Functional limit theorems for random step lines and random broken lines defined by sums of iid random variables with replacements are obtained and discussed. Also we obtain functional limit theorems for integrals of such random processes. We use our results to study a number of models of the financial market.

MSC:
60F17 Functional limit theorems; invariance principles
91B24 Microeconomic theory (price theory and economic markets)
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