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Variance Gamma (nonlocal) equations

open access: yesModern Stochastics: Theory and Applications, 2023
Some equations are provided for the Variance Gamma process using the definition other than that based on a time-changed Brownian motion. A new nonlocal equation is obtained involving generalized Weyl derivatives, which is true even in the drifted case ...
Fausto Colantoni
doaj   +1 more source

Bayesian estimation of rainfall dispersion in Thailand using gamma distribution with excess zeros [PDF]

open access: yesPeerJ, 2022
The gamma distribution is commonly used to model environmental data. However, rainfall data often contain zero observations, which violates the assumption that all observations must be positive in a gamma distribution, and so a gamma model with excess ...
Wansiri Khooriphan   +2 more
doaj   +2 more sources

The variance-gamma ratio distribution

open access: yesComptes Rendus. Mathématique, 2023
Let $X$ and $Y$ be independent variance-gamma random variables with zero location parameter; then the exact probability density function of the ratio $X/Y$ is derived.
Gaunt, Robert E., Li, Siqi
doaj   +1 more source

PENENTUAN KONTRAK OPSI TIPE EROPA MENGGUNAKAN MODEL SIMULASI VARIANCE GAMMA (VG)

open access: yesE-Jurnal Matematika, 2023
Options are used as a hedge against stock price uncertainty brought on by unstable stock prices fluctuation. The price of an option contract can be determined using a variety of approaches, one of which is the Variance Gamma. The purpose of this study is
NI KADEK LANI PITRAYANI   +2 more
doaj   +1 more source

Extension of Short Rate Model Under a Lévy Process

open access: yesFountain Journal of Natural and Applied Sciences (FUJNAS), 2023
A lot of abnormalities occur in real-life scenarios, thus leading to some difficulties in modelling such scenarios without a deeper understanding of certain aspects of Lévy processes.
Dr A. M. Udoye
doaj   +3 more sources

Special greeks of a variance-gamma driven vasicek model

open access: yesScientific African, 2023
Abrupt happenings in financial markets have resulted to the need to adopt Lévy processes such as a variance gamma process in modelling financial derivatives since it has the ability to capture jumps that occur in such scenario.
Adaobi M. Udoye, Lukman S. Akinola
doaj   +1 more source

Residue Sum Formula for Pricing Options under the Variance Gamma Model

open access: yesMathematics, 2021
We present and prove a triple sum series formula for the European call option price in a market model where the underlying asset price is driven by a Variance Gamma process.
Pedro Febrer, João Guerra
doaj   +1 more source

Sand-Dust Image Enhancement Using Chromatic Variance Consistency and Gamma Correction-Based Dehazing

open access: yesSensors, 2022
In sand-dust environments, the low quality of images captured outdoors adversely affects many remote-based image processing and computer vision systems, because of severe color casts, low contrast, and poor visibility of sand-dust images.
Jong-Ju Jeon, Tae-Hee Park, Il-Kyu Eom
doaj   +1 more source

Pricing with Variance Gamma Information

open access: yesRisks, 2020
In the information-based pricing framework of Brody, Hughston & Macrina, the market filtration {Ft}t≥0 is generated by an information process {ξt}t≥0 defined in such a way that at some fixed time T an FT-measurable random variable XT is “revealed”.
Lane P. Hughston   +1 more
doaj   +1 more source

SIFAT-SIFAT DAN KEJADIAN KHUSUS DISTRIBUSI GAMMA

open access: yesBarekeng, 2021
The gamma distribution is one of special continuous random variable distribution with scale parameter  and shape parameter  where  is positive real numbers.
Royke Yohanes Warella   +2 more
doaj   +1 more source

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