Random Summation

Name: Random Summation
Brand: Taylor & Francis Ltd
SKU: 9780367448622
Price: 378.96 PLN
Availability: InStock

Limit Theorems and Applications

Autor: Boris V. Gnedenko, Victor Yu. Korolev

Język:

Oprawa: Miękka

Wydawca: Taylor & Francis Ltd

Dostępność: 50 % szansa

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378.96 zł

This book provides an introduction to the asymptotic theory of random summation, combining a strict...

Informacje o książce

Autor

Boris V. Gnedenko, Victor Yu. Korolev

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2020

strony

288

EAN

9780367448622

ISBN

0367448629

Enbook ID

32875735

Wydawca

Taylor & Francis Ltd

Waga

453

Wymiary

156 x 234

Pełny opis

This book provides an introduction to the asymptotic theory of random summation, combining a strict exposition of the foundations of this theory and recent results. It also includes a description of its applications to solving practical problems in hardware and software reliability, insurance, finance, and more. The authors show how practice interacts with theory, and how new mathematical formulations of problems appear and develop.
Attention is mainly focused on transfer theorems, description of the classes of limit laws, and criteria for convergence of distributions of sums for a random number of random variables. Theoretical background is given for the choice of approximations for the distribution of stock prices or surplus processes. General mathematical theory of reliability growth of modified systems, including software, is presented. Special sections deal with doubling with repair, rarefaction of renewal processes, limit theorems for supercritical Galton-Watson processes, information properties of probability distributions, and asymptotic behavior of doubly stochastic Poisson processes.
Random Summation: Limit Theorems and Applications will be of use to specialists and students in probability theory, mathematical statistics, and stochastic processes, as well as to financial mathematicians, actuaries, and to engineers desiring to improve probability models for solving practical problems and for finding new approaches to the construction of mathematical models.

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Limit Theorems and Applications

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