Abstract
Suppose the upper records \({\left\{ {X_{{L_{n} }} } \right\}}\) from a sequence of i.i.d. random variables is in the domain of attraction of a normal distribution. Consider the D(0,1]-valued process {Zn(·)} constructed by usual interpolation of the partial sums of the records. We prove that under some mild conditions, {Zn} converges to a limiting Gaussian process in D(0,1]. As a consequence, the partial sums of records is asymptotically normal.
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