BSS0.1.0 package

Brownian Semistationary Processes

a1Coefficients

Caclulate the coefficients a_1 in the expression for K_1

a3Coefficients

Caclulate the coefficients a_3 in the expression for K_3

bssAlphaFit

Estimating the smoothness parameter of a Brownian semistationary proce...

calculateK

Caclulate K_p for a BSS process for a given value of p

calculateK1

Caclulate K_1 for a BSS process

calculateK2

Caclulate K_2 for a BSS process

calculateK3

Caclulate K_3 for a BSS process

calculateK4

Caclulate K_4 for a BSS process

estimateAccumulatedVolatility

Estimate accumulated volatility processes

estimateAccumulatedVolatilityCI

Estimate confidence interval for the accumulated volatility processes

estimateK

Estimate K_p for a BSS process, for a given power p

exponentiatedOrnsteinUhlenbeck

Simulate an exponentiated OU volatility process

gammaKernelBSS

Simulation of gamma kernel Brownian semistationary processes

gammaKernelBSSFit

Fitting gamma kernel Brownian semistationary processes

gammaKernelCorrelation

Autocorrelation function for the gamma kernel

gammaKernelTau

Scale factor for the gamma kernel

gammaKernelTauAsymptotic

Asymptotic scale factor for the gamma kernel

hybridSchemeCovarianceMatrix

Hybrid scheme covariance matrix

powerKernelBSS

Simulation of power law kernel Brownian semistationary processes

powerKernelBSSFit

Fitting power law kernel Brownian semistationary processes

powerKernelCorrelation

Autocorrelation function for the power law kernel

powerKernelTau

Scale factor for the power law kernel

realisedPowerVariation

Realised power variation

rhoFractionGaussian

Caclulate the correlation of a fractional Gaussian - needed in the cal...

tauNonParametricEstimate

Non-parametric estimate of the scale factor

Efficient simulation of Brownian semistationary (BSS) processes using the hybrid simulation scheme, as described in Bennedsen, Lunde, Pakkannen (2017) <arXiv:1507.03004v4>, as well as functions to fit BSS processes to data, and functions to estimate the stochastic volatility process of a BSS process.

  • Maintainer: Phillip Murray
  • License: MIT + file LICENSE
  • Last published: 2020-06-24