# phi: Phi In rlfsm: Simulations and Statistical Inference for Linear Fractional Stable Motions

 phi R Documentation

## Phi

### Description

Defined as

\varphi_{\textnormal{high}}(t; H,k)_n := V_{\textnormal{high}}(ψ_t; k)_n \qquad \textnormal{and} \qquad \varphi_{\textnormal{low}}(t; k)_n := V_{\textnormal{low}}(ψ_t; k)_n

, where ψ_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

\insertRef

MOP18rlfsm

rlfsm documentation built on Aug. 27, 2022, 5:06 p.m.