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deriv_dr

Analytic D matrix for Drift (DR) Process


Description

Obtain the first derivative of the Drift (DR) process.

Usage

deriv_dr(omega, tau)

Arguments

omega

A double that is the slope of the drift.

tau

A vec containing the scales e.g. 2^tau

Value

A matrix with the first column containing the partial derivative with respect to omega.

Process Haar WV First Derivative

Taking the derivative with respect to omega yields:

d/domega nu[j]^2 (omega) = (tau[j]^2 * omega)/8

Note: We are taking the derivative with respect to omega and not omega^2 as the omega relates to the slope of the process and not the processes variance like RW and WN. As a result, a second derivative exists and is not zero.

Author(s)

James Joseph Balamuta (JJB)


simts

Time Series Analysis Tools

v0.1.1
AGPL-3 | file LICENSE
Authors
Stéphane Guerrier [aut, cre, cph], James Balamuta [aut, cph], Roberto Molinari [aut, cph], Justin Lee [aut], Yuming Zhang [aut], Wenchao Yang [ctb], Nathanael Claussen [ctb], Yunxiang Zhang [ctb], Christian Gunning [cph], Romain Francois [cph], Ross Ihaka [cph], R Core Team [cph]
Initial release
2019-07-21

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