Let X1, X2, ⋯ be i.i.d. and Yk = max{X1, X2, ⋯, Xk}. Then Xj is a record value of the sequence if $Y_{j} > Y_{j - 1}$. Denoting record value times by Ln, n = 1, 2 ...
A sequence $\{X_{n},\,n\geq 1\}$ of independent and identically distributed random variables with absolutely continuous distribution function F(x) is considered. We ...