Functional limit theorems for the number of occupied boxes in the Bernoulli sieve
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DOI: 10.1016/j.spa.2016.07.007
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References listed on IDEAS
- Iksanov, Alexander, 2013. "Functional limit theorems for renewal shot noise processes with increasing response functions," Stochastic Processes and their Applications, Elsevier, vol. 123(6), pages 1987-2010.
- Iksanov, Alexander, 2012. "On the number of empty boxes in the Bernoulli sieve II," Stochastic Processes and their Applications, Elsevier, vol. 122(7), pages 2701-2729.
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Cited by:
- Iksanov, Alexander & Jedidi, Wissem & Bouzeffour, Fethi, 2017. "A law of the iterated logarithm for the number of occupied boxes in the Bernoulli sieve," Statistics & Probability Letters, Elsevier, vol. 126(C), pages 244-252.
- Durieu, Olivier & Samorodnitsky, Gennady & Wang, Yizao, 2020. "From infinite urn schemes to self-similar stable processes," Stochastic Processes and their Applications, Elsevier, vol. 130(4), pages 2471-2487.
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Keywords
Bernoulli sieve; Infinite urn model; Perturbed random walk; Renewal theory;All these keywords.
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