Results 231 to 240 of about 52,895 (269)

Processes That Can Be Embedded in a Geometric Brownian Motion [PDF]

open access: yesTheory of Probability and Its Applications, 2016
The main result is a counterpart of the theorem of Monroe [\emph{Ann. Probability} \textbf{6} (1978) 42--56] for a geometric Brownian motion: A process is equivalent to a time change of a geometric Brownian motion if and only if it is a nonnegative supermartingale. We also provide a link between our main result and Monroe [\emph{Ann. Math.
Alexander A Gushchin
exaly   +5 more sources
Some of the next articles are maybe not open access.

Related searches:

Geometric Brownian Motion

2021
This chapter initiates discussion with the history and definition of the Geometric Brownian Motion (GBM). Why is Brownian Motion not appropriate for modelling stock prices but GBM is covered in details? Theoretical discussion made on the Geometric Brownian Motion with special consideration to the drift and volatility parameters of the Geometric ...
exaly   +2 more sources

ON BOUNCING GEOMETRIC BROWNIAN MOTIONS

Probability in the Engineering and Informational Sciences, 2018
A pair of bouncing geometric Brownian motions (GBMs) is studied. The bouncing GBMs behave like GBMs except that, when they meet, they bounce off away from each other. The object of interest is the position process, which is defined as the position of the latest meeting point at each time.
Xin Liu, Vidyadhar G. Kulkarni, Qi Gong
openaire   +2 more sources

Geometric Brownian Motion

2002
1.0.5 \({P_x}\left( {{V_\tau } \in dz} \right) = \left\{ \begin{gathered} \frac{\lambda }{{z{\sigma ^2}\sqrt {{v^2} + 2\lambda /{\sigma ^2}} }}{\left( {\frac{x}{z}} \right)^{\sqrt {{v^2} + 2\lambda /{\sigma ^2}} - v}}dz, x \leqslant z \hfill \\ \frac{\lambda }{{z{\sigma ^2}\sqrt {{v^2} + 2\lambda /{\sigma ^2}} }}{\left( {\frac{z}{x}} \right)^{\sqrt {{v^
Andrei N. Borodin, Paavo Salminen
openaire   +2 more sources

On the Reflected Geometric Brownian Motion with Two Barriers

open access: yesIntelligent Information Management, 2010
In this paper, we are concerned with Re?ected Geometric Brownian Motion (RGBM) with two barriers. And the stationary distribution of RGBM is derived by Markovian in?nitesimal Generator method. Consequently the ?rst passage time of RGBM is also discussed.
Lidong Zhang, Ziping Du
exaly   +3 more sources

A Generalization of Geometric Brownian Motion with Applications

Communications in Statistics - Theory and Methods, 2011
Although geometric Brownian motion has a great variety of applications, it can not cover all the random phenomena. The purpose of this article is to propose a model that generalizes geometric Brownian motion. We present some interesting applications of this model in financial engineering and statistical inferences for the unknown parameters.
Yu-Sheng Hsu
exaly   +2 more sources

On the moments of the integrated geometric Brownian motion

Journal of Computational and Applied Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On the Geometric Brownian Motion with Alternating Trend

2014
A basic model in mathematical finance theory is the celebrated geometric Brownian motion. Moreover, the geometric telegraph process is a simpler model to describe the alternating dynamics of the price of risky assets. In this note we consider a more general stochastic process that combines the characteristics of such two models. Precisely, we deal with
DI CRESCENZO, Antonio   +2 more
openaire   +2 more sources

Home - About - Disclaimer - Privacy