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  • Universal Theory for Strong Limit Theorems of Probability by Frolov a N book cover
  • Universal Theory for Strong Limit Theorems of Probability by Frolov a N book cover
  • Universal Theory for Strong Limit Theorems of Probability by Frolov a N book cover
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Universal Theory for Strong Limit Theorems of Probability

by Frolov a N

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A unified approach to strong probability limits

$92.66 USD
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Hardcover New English

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AlbakiReads Editorial

A unified approach to strong probability limits

Organized around three foundational objects—sums of independent random variables, processes with independent increments, and renewal processes—the book develops a universal framework for strong laws of probability. It also considers large deviations and the case of infinite variations, with attention to the techniques used and the optimality of conditions. Further generalizations are noted, placing the main discussions within a broader mathematical program. At 189 pages, it offers a focused treatment of probability theory’s strong-limit results and related methods.

Good fit for readers who enjoy

  • Researchers or graduate-level readers studying probability theory and stochastic processes.
  • Readers interested in strong laws, large deviations, or renewal processes.
  • Mathematical readers seeking discussion of methods and conditions underlying limit theorems.

Themes

Strong laws of probabilityIndependent random variables and processesRenewal processesLarge deviationsOptimality of conditions

Based on publisher information and book metadata.

Book overview

This is the first book which the universal approach to strong laws of probability is discussed in. The universal theories are described for three important objects of probability theory: sums of independent random variables, processes with independent increments and renewal processes. Further generalizations are mentioned. Besides strong laws, large deviations are of independent interest. The case of infinite variations is considered as well. Readers can examine appropriate techniques and methods. Optimality of conditions is discussed.

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