Monte Carlo Simulations Of Random Variables, Sequences And Processes

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Last edited by Kaustubh Chakraborty
December 3, 2023 | History

Monte Carlo Simulations Of Random Variables, Sequences And Processes

First edition
  • 0 Ratings
  • 1 Want to read
  • 0 Currently reading
  • 0 Have read

Numerical methods in probability theory can generally be divided into two groups, deterministic and Monte Carlo methods. Deterministic methods are used for numerical expectations of various random variables whenever such methods are efficient from the point of view of the time spent and the complexity of the numerical procedure. It is widely believed that Monte Carlo methods are used exclusively as an alternative numerical procedure for the numerical estimation of the expectation of random variables. At the same time, it is considered that Monte Carlo methods should be used when they are more efficient than deterministic ones. However, there are numerical procedures in which Monte Carlo methods are an indispensable tool. It is enough to mention statistical models in technical, natural and social sciences, and the bootstrap method for estimating the parameters of a statistical model. Therefore, Monte Carlo methods must be seen as an essential tool in the numerical procedures of probability theory, and should be known as an integral part of probability theory.

Publish Date
Language
English
Pages
310

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Edition Availability
Cover of: Monte Carlo Simulations Of Random Variables, Sequences And Processes
Monte Carlo Simulations Of Random Variables, Sequences And Processes
9 September, 2009, Element d.o.o., Zagreb, Croatia
Paperback in English - First edition

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Book Details


First Sentence

"To simulate a random variable means to construct its numerical sample of an arbitrary large length."

Table of Contents

-- Content:
-- Pseudo-random numbers
-- Simulation of random variables
-- Simulation of stationary sequences
-- Simulation of Markov chains
-- Simulation of Markov jump processes
-- Simulation of Brownian motion
-- Simulation of generalized diffusion
-- Bibliographical notes
-- Bibliography
-- Index

Edition Notes

Original book title ' Monte Carlo simulacije slučajnih veličina, nizova i procesa ' written in Croatian.
Isbn (Original Book) : 9789531975629, 9531975620. The Croatian version was published in 2002.
Bibliographical Notes and Bibliography are given at page 299 of the English Translation. Contains index.

Published in
Zagreb, Croatia
Other Titles
Monte Carlo simulacije slučajnih veličina, nizova i procesa
Copyright Date
©2009
Translation Of
Monte Carlo simulacije slučajnih veličina, nizova i procesa
Translated From
Croatian

The Physical Object

Format
Paperback
Pagination
viii, 300 p. : illustration ; 24 cm.
Number of pages
310
Weight
1 pounds

ID Numbers

Open Library
OL50213098M
ISBN 10
9531975698
ISBN 13
9789531975698

Work Description

The main goal of analysis in this book are Monte Carlo simulations of Markov processes such as Markov chains (discrete time), Markov jump processes (discrete state space, homogeneous and non-homogeneous), Brownian motion with drift and generalized diffusion with drift (associated to the differential operator of Reynolds equation). Most of these processes can be simulated by using their representations in terms of sequences of independent random variables such as uniformly distributed, exponential and normal variables. There is no available representation of this type of generalized diffusion in spaces of the dimension larger than 1. A convergent class of Monte Carlo methods is described in details for generalized diffusion in the two-dimensional space.

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History

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December 3, 2023 Edited by Kaustubh Chakraborty Added new book
December 3, 2023 Created by Kaustubh Chakraborty Added new book.