Limit theorems for the spacings of weak records

Springer Science and Business Media LLC - Tập 75 - Trang 163-180 - 2010
Enkelejd Hashorva1, Alexei Stepanov2
1Institute of Mathematical Statistics, University of Bern, Bern, Switzerland
2Department of Mathematics, Izmir University of Economics, Balcova, Izmir, Turkey

Tóm tắt

Let W(1), W(2), . . . be weak record values obtained from a sample of independent variables with common discrete distribution. In the present paper, we derive weak and strong limit theorems for the spacings W(n + m) − W(n), m ≥ 1, n → ∞.

Tài liệu tham khảo

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