tails_i {funtimes}

Interval-Based Tails Comparison

Description

Compare right tails of two sample distributions using an interval-based approach (IBA); see Chu et al. (2015) and Lyubchich and Gel (2017).

Usage

tails_i(x0, x1, d = NULL)

Arguments

x0, x1

vectors of the same length (preferably). Tail in x1 is compared against the tail in x0.

d

a threshold defining the tail. The threshold is the same for both x0 and x1. Default is quantile(x0, probs = 0.99).

Details

Sturges' formula is used to calculate the number of intervals (k) for x0 \ge d, then interval width is derived. The tails, x0 \ge d and x1 \ge d, are divided into intervals. The number of x1-values within each interval is compared with the number of x0-values within the same interval (this difference is reported as Nk).

Value

A list with two elements:

Nk

vector that tells how many more x1-values compared with x0-values there are within each interval.

Ck

vector of the intervals' centers.

Author(s)

Calvin Chu, Yulia R. Gel, Vyacheslav Lyubchich

References

Chu C, Gel YR, Lyubchich V (2015). “Climate change from an insurance perspective: a case study of Norway.” In Dy JG, Emile-Geay J, Lakshmanan V, Liu Y (eds.), The 5th International Workshop on Climate Informatics: CI2015.

Lyubchich V, Gel YR (2017). “Can we weather proof our insurance?” Environmetrics, 28(2), e2433. doi:10.1002/env.2433.

See Also

q.tails

Examples

x0 <- rnorm(1000)
x1 <- rt(1000, 5)
tails_i(x0, x1)