By Oleg Klesov

Presenting the 1st unified therapy of restrict theorems for a number of sums of self sufficient random variables, this quantity fills an incredible hole within the box. a number of new effects are brought, even within the classical environment, in addition to a few new methods which are less complicated than these already tested within the literature. specifically, new proofs of the robust legislation of huge numbers and the Hajek-Renyi inequality are certain. purposes of the defined concept contain Gibbs fields, spin glasses, polymer versions, photograph research and random shapes.

Limit theorems shape the spine of chance thought and statistical thought alike. the idea of a number of sums of random variables is an instantaneous generalization of the classical examine of restrict theorems, whose significance and extensive software in technological know-how is unquestionable. even though, so far, the topic of a number of sums has in simple terms been taken care of in journals.

The effects defined during this publication could be of curiosity to complicated undergraduates, graduate scholars and researchers who paintings on restrict theorems in likelihood conception, the statistical research of random fields, in addition to within the box of random units or stochastic geometry. The vital subject can be very important for statistical thought, constructing statistical inferences for random fields, and in addition has functions to the sciences, together with physics and chemistry.

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