rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Random summation
    sub title: limit theorems and applications
  name:
    name part: Gnedenko, B. V. (Boris Vladimirovich)
    name part: 1912-1995
    role:
      role term: creator
  name:
    name part: Korolev, Victor Yu.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2020
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (1 volume)
  abstract: 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.
  note: Boris V. Gnedenko, Victor Yu. Korolev.
  note: Gnedenko, Boris V. Korolev, Victor Yu.
  subject:
    topic: Calculus, Integral
  subject:
    topic: Probabilities
  subject:
    topic: Probability
  subject:
    topic: Calcul intégral
  subject:
    topic: Probabilités
  subject:
    topic: probability
  subject:
    topic: MATHEMATICS
    topic: General
  subject:
    topic: MATHEMATICS
    topic: Probability & Statistics
    topic: General
  subject:
    topic: Calculus, Integral
  subject:
    topic: Probabilities
  classification: QA274
  classification: 515.43
  related item:
    title info:
      title: RANDOM SUMMATION
    name:
      name part: GNEDENKO, BORIS V. KOROLEV, VICTOR YU.
    origin info:
      publisher: [Place of publication not identified] : CRC PRESS, 2020
    identifier: (OCoLC)1154860354
  identifier: 9781003067894
  identifier: 1003067891
  identifier: 9781000141177
  identifier: 1000141179
  identifier: 9781000102673
  identifier: 100010267X
  identifier: 9781000119848
  identifier: 100011984X
  identifier: 0367448629
  identifier: 9780367448622
  identifier: 9781003067894 Taylor & Francis
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: TYFRS
    record creation date: 200807
    record change date: 20241111204738.5
    record identifier: in00005527930
    language of cataloging:
      language term: eng