In an infinite sequence of independent identically distributed continuous random variables we study the number of strings of two subsequent records interrupted by a given number of non-records. By embedding in a marked Poisson process we prove that these counts are independent and Poisson distributed. Also the distribution of the number of uninterrupted strings of records is considered.
"A note on records in a random sequence." Ark. Mat. 49 (2) 351 - 356, October 2011. https://doi.org/10.1007/s11512-010-0131-3