Compare right tails of two sample distributions using
an interval-based approach (IBA);
see Chu_etal_2015_insurance;textualfuntimes
and Lyubchich_Gel_2017_insurance;textualfuntimes.
Usage
tails_i(x0, x1, d = NULL)
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.
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).
Author
Calvin Chu, Yulia R. Gel, Vyacheslav Lyubchich
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).