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The theta-dependence coefficient and an Almost Sure Limit Theorem for random iterative models
- Source :
- Statistics and Probability Letters, Statistics and Probability Letters, Elsevier, 2009, 78 (5), pp.564. ⟨10.1016/j.spl.2007.09.008⟩
- Publication Year :
- 2008
- Publisher :
- Elsevier BV, 2008.
-
Abstract
- International audience; We prove a weighted Almost Sure Limit Theorem in the setting of random iterative models. This theorem generalizes previous results obtained for sequences of normalized partial sums and some other classes of random sequences.
- Subjects :
- Statistics and Probability
Discrete mathematics
Picard–Lindelöf theorem
Iterative method
Wiener–Khinchin theorem
Random sequence
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
Combinatorics
Convergence of random variables
Probability theory
Physical Sciences
Limit (mathematics)
Statistics, Probability and Uncertainty
Mean value theorem
Mathematics
Subjects
Details
- ISSN :
- 01677152
- Volume :
- 78
- Database :
- OpenAIRE
- Journal :
- Statistics & Probability Letters
- Accession number :
- edsair.doi.dedup.....5501dbfb3bed44391e9a2394a52b896f
- Full Text :
- https://doi.org/10.1016/j.spl.2007.09.008