Wissem Jedidi

Prof. Dr. Wissem Jedidi

Statistics & OR, King Saud University, Riyadh, Ar Riyāḑ, Saudi Arabia
orcid

Research Focus & Metrics

Academic Career Length

23Years (2004-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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1 February 2018 in Journal of Mathematical Analysis and Applications
Verified
Journal Article
Closed access
WJWissem Jedidi
Wissem Jedidi
TSThomas Simon
Thomas Simon
MWMin Wang
Min Wang

1 November 2013 in Bernoulli
Verified
Journal Article
Open access
WJWissem Jedidi
Wissem Jedidi
TSThomas Simon
Thomas Simon
We display several examples of generalized gamma convoluted and hyperbolically completely monotone random variables related to positive $\alpha$-stable laws. We also obtain new factorizations for the latter, refining Kanter’s and Pestana–Shanbhag–Sreehari’s. These results give stronger credit to Bondesson’s hypothesis that positive $\alpha$-stable densities are hyperbolically completely monotone whenever $\alpha\le1/2$.

1 July 2017 in Statistics & Probability Letters
Verified
Journal Article
Closed access
AIAlexander Iksanov
Alexander Iksanov
WJWissem Jedidi
Wissem Jedidi
FBFethi Bouzeffour
Fethi Bouzeffour

1 July 2015 in Statistics & Probability Letters
Verified
Journal Article
Closed access
WJWissem Jedidi
Wissem Jedidi
TSThomas Simon
Thomas Simon

1 January 2019 in Arab Journal of Mathematical Sciences
Verified
Journal Article
Open access
RARafik Aguech
Rafik Aguech
WJWissem Jedidi
Wissem Jedidi
We give several new characterizations of completely monotone functions and Bernstein functions via two approaches: the first one is driven algebraically via elementary preserving mappings and the second one is developed in terms of the behavior of their restriction on N0 N0 . We give a complete answer to the following question: Can we affirm that a function   f f is completely monotone (resp. a Bernstein function) if we know that the sequence   (f(k))k f(k)k is completely monotone (resp. alternating)? This approach constitutes a kind of converse to Hausdorff’s moment characterization theorem in the context of completely monotone sequences.

28 March 2018 in Journal of Applied Probability
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Journal Article
Closed access
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AIAlexander Iksanov
Alexander Iksanov
WJWissem Jedidi
Wissem Jedidi
FBFethi Bouzeffour
Fethi Bouzeffour
We discuss weak convergence of the number of busy servers in a G/G/∞ queue in the J1-topology on the Skorokhod space. We prove two functional limit theorems with random and nonrandom centering, thereby solving two open problems stated in Mikosch and Resnick (2006). A new integral representation for the limit Gaussian process is given.