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A new modified estimator of population variance in calibrated survey sampling
In survey statistics, estimating and reducing population variation is crucial. These variations can occur in any sampling design, including stratified random sampling, where stratum weights may increase the variance of estimators. Calibration techniques,
Riffat Jabeen +4 more
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Confidence interval estimation for the difference of censored zero-inflated gamma distributions
This paper studies the problem of constructing confidence intervals (CIs) for the difference between coefficients of variation (CV) of two censored zero-inflated gamma distributions.
Hongping Guo +3 more
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A new variance estimation in natural exponential families
This article focuses on improving the estimation of population variances for natural exponential family distributions, drawing inspiration from the innovative idea presented by Stein.
Arampamoorthy Laheetharan +1 more
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The Variance-Gamma Process for Option Pricing
This paper explores the concept of random-time subordination in modelling stock-price dynamics, and We first present results on the Laplace distribution as a Gaussian variance-mixture, in particular a more efficient volatility estimation procedure through the absolute moments.
Shenoy, Rohan, Kempthorne, Peter
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Absolute moments of the variance-gamma distribution
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New Mean-Variance Gamma Method for Automatic Gamma Correction [PDF]
Meriama Mahamdioua, Mohamed Benmohammed
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Local variance gamma revisited
The Journal of Computational Finance, 2015In this paper we develop a new method for implied volatility surface construction for FX options. The methodology is based on the local variance gamma model developed by Carr (2008). Our approach is to solve a simplified "one-step" version of the Dupire equation analytically under the assumption of a continuous five parameter diffusion function.
Markus Falck +1 more
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The Variance Gamma Process and Option Pricing
Review of Finance, 1998Abstract A three parameter stochastic process, termed the variance gamma process, that generalizes Brownian motion is developed as a model for the dynamics of log stock prices. Theprocess is obtained by evaluating Brownian motion with drift at a random time given by a gamma process.
Carr, P, Madan, DB, Chang, EC
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A MULTIVARIATE VARIANCE GAMMA MODEL FOR FINANCIAL APPLICATIONS [PDF]
In this paper we subordinate a multivariate Brownian motion with independent components by a multivariate gamma subordinator. The resulting process is a generalization of the bivariate variance gamma process proposed by Madan and Seneta [7], mentioned in Cont and Tankov [4] and calibrated in Luciano and Schoutens [5] as a price process.
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A Singular Gamma Variance Expansion
Wilmott, 2023We give an analytical expansion for option prices and Black implied volatilities consistent with the Variance Gamma model [MCC98] based on a singular expansion of the standard gamma density in terms of the Dirac functions and its derivatives
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