12 citations · 23 across the 19 of their papers we have counts for
3 papers · 1 filter
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…
Refined properties for the Mellin transform, with applications to convergence of families obtained by biasing or by the stationary excess operator
Wisssem al Jedidi, Fethi Bouzeffour, Nouf Harthi
We first provide some properties of the Mellin transform of nonnegative random variables, such that monotonicity, injectivity and effect of size biasing. Convergence of Mellin tran…