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This function calculates the interval score for a given set of observations, lower and upper bounds, and alpha parameter.

Usage

int_score(y, l, u, alpha)

Arguments

y

A numeric vector of observations.

l

A numeric vector of lower bounds for the prediction intervals.

u

A numeric vector of upper bounds for the prediction intervals.

alpha

A numeric value specifying the penalty parameter for interval width.

Value

A numeric vector of interval scores.

Details

The interval score is a proper scoring rule that measures the accuracy of interval predictions. It takes into account both the coverage and the width of the prediction interval. A lower score indicates a better prediction.