Record Values and Maxima
Record Values and Maxima
$\{X_n, n \geqq 1\}$ are $\operatorname{i.i.d.}$ random variables with continuous $\operatorname{df} F(x). X_j$ is a record value of this sequence if $X_j > \max \{X_1,\cdots, X_{j-1}\}$. We compare the behavior of the sequence of record values $\{X_{L_n}\}$ with that of the sample maxima $\{M_n\} = \{\max (X_1,\cdots, X_n)\}$. Conditions for …