index_ordinal_variation: Computes the estimated index of ordinal variation (IOV) of an...

In otsfeatures: Ordinal Time Series Analysis

Computes the estimated index of ordinal variation (IOV) of an ordinal time series

Description

index_ordinal_variation computes the estimated index of ordinal variation of an ordinal time series

Usage

index_ordinal_variation(series, states)

Arguments

series	An OTS.
states	A numerical vector containing the corresponding states.

Details

Given an OTS of length T with range \mathcal{S}=\{s_0, s_1, s_2, …, s_n\} (s_0 < s_1 < s_2 < … < s_n), \overline{X}_t=\{\overline{X}_1,…, \overline{X}_T\}, the function computes the estimated IOV given by \widehat{IOV}=\frac{4}{n}∑_{k=1}^{n-1}\widehat{f}_k(1-\widehat{f}_k), where \widehat{f}_k is the standard estimate of the cumulative marginal probability for state s_k computed from the series \overline{X}_t.

Value

The estimated IOV.

Author(s)

Ángel López-Oriona, José A. Vilar

References

\insertRef

weiss2019distanceotsfeatures

Examples

estimated_iov <- index_ordinal_variation(series = AustrianWages$data[[100]],
states = 0 : 5) # Computing the estimate of the IOV
# for one series in dataset AustrianWages

otsfeatures documentation built on March 7, 2023, 7:38 p.m.