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 …

Application of tempered stable distribution for selection of optimal frequency band in gearbox local damage detection

A Wyłomańska, G Żak, P Kruczek, R Zimroz - Applied Acoustics, 2017 - Elsevier
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 …

Closed-form approximations for basket option pricing under normal tempered stable Lévy model

D Hu, H Sayit, J Yao, Q Zhong - The North American Journal of Economics …, 2024 - Elsevier
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 …

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 …

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 …

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 …

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 …

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 …

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 …

Subordinated continuous-time AR processes and their application to modeling behavior of mechanical system

J Gajda, A Wyłomańska, R Zimroz - Physica A: Statistical Mechanics and its …, 2016 - Elsevier
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 …