Record and interrecord times for sequences of nonidentically distributed random variables

Assume that the independent random variables $X_1$, $X_2,\dots$ have the distribution functions $F^{\alpha_1}$, $F^{\alpha_2},\dots$, respectively, where $F$ is an arbitrary continuous distribution function, while $\alpha_i$ are positive constants. In this situation, one obtains some theorems for the record moments and interrecord times.