2 citations · 2 across the 3 of their papers we have counts for
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A law of the iterated logarithm for the number of blocks in regenerative compositions generated by gamma-like subordinators
Alexander Iksanov, Wissem Jedidi
The points of the closed range of a drift-free subordinator with no killing are used for separating into blocks the elements of a sample of size from the standard exponential d…
New monotonicity and infinite divisibility properties for the Mittag-Leffler function and for the stable distributions
Nuha Altaymani, Wissem Jedidi
Hyperbolic complete monotonicity property () is a way to check if a distribution is a generalized gamma (), hence is infinitely divisible. In this work,…
Functional limit theorems for the number of busy servers in a queue
Alexander Iksanov, Wissem Jedidi, Fethi Bouzeffour
We discuss weak convergence of the number of busy servers in a queue in the -topology on the Skorokhod space. We prove two functional limit theorems, with random…
A law of the iterated logarithm for the number of occupied boxes in the Bernoulli sieve
Alexander Iksanov, Wissem Jedidi, Fethi Bouzeffour
The Bernoulli sieve is an infinite occupancy scheme obtained by allocating the points of a uniform sample over an infinite collection of intervals made up by successive pos…