By Oleg Klesov
Presenting the 1st unified therapy of restrict theorems for a number of sums of self sustaining random variables, this quantity fills a tremendous hole within the box. numerous new effects are brought, even within the classical atmosphere, in addition to a few new methods which are easier than these already confirmed within the literature. specifically, new proofs of the powerful legislation of enormous numbers and the Hajek-Renyi inequality are exact. purposes of the defined concept comprise Gibbs fields, spin glasses, polymer types, picture research and random shapes.
Limit theorems shape the spine of chance conception and statistical concept alike. the speculation of a number of sums of random variables is an immediate generalization of the classical research of restrict theorems, whose significance and huge software in technology is unquestionable. although, thus far, the topic of a number of sums has purely been handled in journals.
The effects defined during this booklet should be of curiosity to complex undergraduates, graduate scholars and researchers who paintings on restrict theorems in chance concept, the statistical research of random fields, in addition to within the box of random units or stochastic geometry. The critical subject is usually vital for statistical thought, constructing statistical inferences for random fields, and likewise has purposes to the sciences, together with physics and chemistry.
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Extra resources for Limit Theorems for Multi-Indexed Sums of Random Variables (Probability Theory and Stochastic Modelling)
Limit Theorems for Multi-Indexed Sums of Random Variables (Probability Theory and Stochastic Modelling) by Oleg Klesov