Limit distribution of the number of consecutive records

@article{Chern2005LimitDO,
title={Limit distribution of the number of consecutive records},
author={Hua-Huai Chern and Hsien-Kuei Hwang},
journal={Random Struct. Algorithms},
year={2005},
volume={26},
pages={404-417}
}

A succinct series expression is derived for describing the limit distribution of the number of timesr consecutive elements are all records (in a sequence of independent a identically distributed random variables with a common continuous distribution) for all r ≥ 2. Previously, only the limit distributions for r = 1, 2, and3 were known.