Renewal process for a sequence of dependent random variables [Quá trình phục hồi chuỗi biến thiên ngẫu nhiên phụ thuộc] / Bùi Khởi Đàm // Vietnam Journal of Mathematics . -2005. -Vol 33. -No 1. -p. 73-83. -(eng). -ISSN 0866-7179.
Classification (rubrics): 27.43
Key words: Sequence; Random variables; Probability space; Renewal process; Large numbers;
Location: TTKHCNQG, CLv 2394
Classification (rubrics): 27.43
Key words: Sequence; Random variables; Probability space; Renewal process; Large numbers;
The author investigate a renewal process N(t) = max{n >=1 : Sn = E Xi< t,i=1...n} for t> 0 where Xl, X2,... with P(Xi> 0) = 1 (i = 1,2... ) is a sequence of mdependent or mixing random variables. The article give such a condition under which N(t) has finite moment. Strong law of large numbers and central limit theorems for the function N ( t) are given
Location: TTKHCNQG, CLv 2394
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