s_e_points function

Derives a subset of integers from a given set

This function finds two subsets of integers in a given interval [s,e]. The routine is typically not called directly by the user; its result is used in order to construct the expanding intervals, where the Isolate-Detect method is going to be applied. For more details on how the Isolate-Detect methodology works, see References.

s_e_points(r, l, s, e)

Arguments

• r: A positive integer vector containing the set, from which the end-points of the expanding intervals are to be chosen.
• l: A positive integer vector containing the set, from which the start-points of the expanding intervals are to be chosen.
• s: A positive integer indicating the starting position, in the sense that we will choose the elements from r and l that are greater than s.
• e: A positive integer indicating the finishing position, in the sense that we will choose the elements from r and l that are less than e.

Returns

e_points A vector containing the points that will be used as end-points, in order to create the left-expanding intervals. It consists of the input e and all the elements in the input vector r that are in (s,e).

s_points A vector containing the points that will be used as start-points, in order to create the left-expanding intervals. It consists of the input s and all the elements in the input vector l that are in (s,e)

Examples

s_e_points(r = seq(10,1000,10), l = seq(991,1,-10), s=435, e = 786)
s_e_points(r = seq(3,100,3), l = seq(98,1,-3), s=43, e = 86)

References

Anastasiou, A. and Fryzlewicz, P. (2018). Detecting multiple generalized change-points by isolating single ones.

Author(s)

Andreas Anastasiou, a.anastasiou@lse.ac.uk