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rlfsm (version 1.1.2)

phi: Phi

Description

Defined as $$\varphi_{\textnormal{high}}(t; H,k)_n := V_{\textnormal{high}}(\psi_t; k)_n \qquad \textnormal{and} \qquad \varphi_{\textnormal{low}}(t; k)_n := V_{\textnormal{low}}(\psi_t; k)_n$$, where \(\psi_t(x):=cos(tx)\)

Usage

phi(t, k, path, H, freq)

Arguments

t

positive real number

k

increment order

path

sample path of lfsm on which the inference is to be performed

H

Hurst parameter

freq

Frequency of the motion. It can take two values: "H" for high frequency and "L" for the low frequency setting.

Details

Hurst parameter is required only in high frequency case. In the low frequency, there is no need to assign H a value because it will not be evaluated.

References

MOP18rlfsm