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Asymptotics for dependent Bernoulli random variables
- Source :
-
Statistics & Probability Letters . Mar2012, Vol. 82 Issue 3, p455-463. 9p. - Publication Year :
- 2012
-
Abstract
- Abstract: This paper considers a sequence of Bernoulli random variables which are dependent in a way that the success probability of a trial conditional on the previous trials depends on the total number of successes achieved prior to the trial. The paper investigates almost sure behaviors for the sequence and proves the strong law of large numbers under weak conditions. For linear probability functions, the paper also obtains the strong law of large numbers, the central limit theorems and the law of the iterated logarithm, extending the results by . [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01677152
- Volume :
- 82
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Statistics & Probability Letters
- Publication Type :
- Periodical
- Accession number :
- 70949560
- Full Text :
- https://doi.org/10.1016/j.spl.2011.12.002