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A local mixing condition D(k) is introduced for stationary sequences satisfying Leadbetter's condition D. Under the local mixing condition, the asymptotic distribution of the sample maximum can be calculated with the knowledge of the joint distribution of k consecutive terms. Some examples are given to illustrate the notion.

A local mixing condition D (k) is introduced for stationary sequences satisfying Leadbetter's condition D. Under the local mixing condition, the asymptotic distribution of the sample maximum can be calculated with the knowledge of the joint distribution of k consecutive terms. Some examples are given to illustrate the notion.

×ØÖ ØºWe establish some asymptotic expansions for infinite weighted convolution of distributions having regular varying tails. Various applications to statistics and probability are developed.ÅË ¾¼¼¼ ËÙ Ø Ð ×× ¬ Ø ÓÒ× Primary: 41A60, 60F99. Secondary: 41A80, 44A35, 60E07, 60G50, 60K05, 60K25, 62E17, 62G32.

No abstract