Normal approximations of the number of records in geometrically distributed random variables

نویسندگان

  • Zhi-Dong Bai
  • Hsien-Kuei Hwang
  • Wen-Qi Liang
چکیده

We establish the asymptotic normality of the number of upper records in a sequence of iid geometric random variables. Large deviations and local limit theorems as well as approximation theorems for the number of lower records are also derived.

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عنوان ژورنال:
  • Random Struct. Algorithms

دوره 13  شماره 

صفحات  -

تاریخ انتشار 1998