Applications of inverse tempered stable subordinators
MS Alrawashdeh, JF Kelly, MM Meerschaert… - … & Mathematics with …, 2017 - Elsevier
The inverse tempered stable subordinator is a stochastic process that models power law
waiting times between particle movements, with an exponential tempering that allows all …
waiting times between particle movements, with an exponential tempering that allows all …
Application of tempered stable distribution for selection of optimal frequency band in gearbox local damage detection
Local damage detection methods based on the vibration signal analysis are widely
discussed in the literature. One of the most popular approach is signal enhancement by …
discussed in the literature. One of the most popular approach is signal enhancement by …
Closed-form approximations for basket option pricing under normal tempered stable Lévy model
In this paper, we study the pricing problems of basket options and spread options under the
Normal Tempered Stable Lévy model, which is a general model for financial assets and …
Normal Tempered Stable Lévy model, which is a general model for financial assets and …
Fokker–Planck type equations associated with fractional Brownian motion controlled by infinitely divisible processes
J Gajda, A Wyłomańska - Physica A: Statistical Mechanics and Its …, 2014 - Elsevier
In this paper we study the anomalous diffusion process driven by fractional Brownian motion
delayed by general infinitely divisible subordinator. We show the analyzed process is the …
delayed by general infinitely divisible subordinator. We show the analyzed process is the …
American option valuation under time changed tempered stable Lévy processes
X Gong, X Zhuang - Physica A: Statistical Mechanics and Its Applications, 2017 - Elsevier
Given that the underlying assets in financial markets exhibit stylized facts such as
leptokurtosis, asymmetry, clustering properties and heteroskedasticity effect, this paper …
leptokurtosis, asymmetry, clustering properties and heteroskedasticity effect, this paper …
Measuring financial risk and portfolio reversion with time changed tempered stable Lévy processes
X Gong, X Zhuang - The North American Journal of Economics and Finance, 2017 - Elsevier
Given that underlying assets in financial markets exhibit stylized facts such as leptokurtosis,
asymmetry, clustering properties and heteroskedasticity effect, this paper applies the …
asymmetry, clustering properties and heteroskedasticity effect, this paper applies the …
Optimal sizing of the sediment replenishment capacity based on robust ergodic control of subordinator-driven dynamics
H Yoshioka, M Tsujimura - Optimization, 2022 - Taylor & Francis
A countermeasure against sediment depletion in rivers is sand replenishment. The cost-
efficient sizing of its capacity is critical for sustainable environmental management. However …
efficient sizing of its capacity is critical for sustainable environmental management. However …
The tempered stable process with infinitely divisible inverse subordinators
A Wyłomańska - Journal of Statistical Mechanics: Theory and …, 2013 - iopscience.iop.org
In the last decade processes driven by inverse subordinators have become extremely
popular. They have been used in many different applications, especially for data with …
popular. They have been used in many different applications, especially for data with …
Quantile-based inference for tempered stable distributions
HA Fallahgoul, D Veredas, FJ Fabozzi - Computational Economics, 2019 - Springer
We introduce a simple, fast, and accurate way for the estimation of numerous distributions
that belong to the class of tempered stable probability distributions. Estimation is based on …
that belong to the class of tempered stable probability distributions. Estimation is based on …
Subordinated continuous-time AR processes and their application to modeling behavior of mechanical system
Many real data exhibit behavior adequate to subdiffusion processes. Very often it is
manifested by so-called “trapping events”. The visible evidence of subdiffusion we observe …
manifested by so-called “trapping events”. The visible evidence of subdiffusion we observe …