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HMMHSMM (version 0.1.0)

daily_maxima: Daily maxima of geomagnetic rate-of-change data from Eskdalemuir Magnetic Observatory

Description

A dataset containing daily block maxima of the horizontal geomagnetic field rate-of-change at the Eskdalemuir Magnetic Observatory, Scotland, United Kingdom. The data reflect the daily extremes of geomagnetic variability, serving as indicators of geomagnetic disturbance over the period 1999–2022.

Usage

data(daily_maxima)

Arguments

Format

A numeric vector of daily maxima of $$R_1(t) = \sqrt{(X_t - X_{t-1})^2 + (Y_t - Y_{t-1})^2},$$ where \(X_t\) and \(Y_t\) denote the horizontal north and east components of the magnetic field, respectively.

Details

These daily maxima capture short-term geomagnetic disturbances while maintaining a sufficiently fine temporal resolution to observe rapid changes. Like the weekly maxima, they are naturally modelled using the Generalised Extreme Value (GEV) distribution, with location, scale, and shape parameters \(\mu\), \(\sigma\), and \(\xi\).

Examples

Run this code
data(daily_maxima)
plot(daily_maxima, type = "l", main = "Daily maxima of geomagnetic variability",
     ylab = "Daily maximum rate of change (nT/min)", xlab = "Day index")

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