Summary
In this paper we study the following property\(P\) of a random sequence (X n ,n∈ℕ):X n converges a.s. to a finite limit and its quadratic variation is finite a.s. Several local results on the property\(P\) are established for random sequences satisfying
where (h n ,n∈ℕ) is a random sequence. As an application random sequences taking values in a closed, possibly unbounded, interval of— are studied.
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Bouzar, N. Some local results on the convergence and the quadratic variation of random sequences. Probab. Th. Rel. Fields 86, 265–275 (1990). https://doi.org/10.1007/BF01474646
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DOI: https://doi.org/10.1007/BF01474646
Keywords
- Stochastic Process
- Probability Theory
- Mathematical Biology
- Random Sequence
- Local Result