9 papers
Asymptotic theory and statistical inference for the samples problems with heavy-tailed data using the functional empirical process
Abdoulaye Camara, Saliou Diouf, Moumouni Diallo +1
This paper introduces the Trimmed Functional Empirical Process (TFEP) as a robust framework for statistical inference when dealing with heavy-tailed or skewed distributions, where…
Asymptotic Statistical Theory for the Samples Problems using the Functional Empirical Process, revisited I
Abdoulaye Camara, Adja Mbarka Fall, Moumouni Diallo +1
In this paper we study the asymptotic theory for samples problem based on the functional empirical process (fep), this new method is called general samples problem. We suggest this…
The Pseudo-Lindley Alpha Power transformed distribution, mathematical characterizations and asymptotic properties
Modou Ngom, Moumouni Diallo, Adja Mbarka Fall +1
We introduce a new generalization of the Pseudo-Lindley distribution by applying alpha power transformation. The obtained distribution is referred as the Pseudo-Lindley alpha power…
Asymptotics of summands I: square integrable independent random variables
Aladji Babacar Niang, Gane Samb Lo, Moumouni Diallo
This paper is part of series on self-contained papers in which a large part, if not the full extent, of the asymptotic limit theory of summands of independent random variables is e…
Second order Expansions for Extreme Quantiles of Burr Distributions and Asymptotic Theory of Record Values
Moumouni Diallo, Modou Ngom, Soumaila Dembele +1
In this paper we investigate the Burr distributions family which contains twelve members. Second order expansions of quantiles of the Burr's distributions are provided on which may…
Extremes, extremal index estimation, records, moment problem for the Pseudo-Lindley distribution and applications
Gane Samb Lo, Modou Ngom, Moumouni Diallo
The pseudo-Lindley distribution which was introduced in Zeghdoudi and Nedjar (2016) is studied with regards to its upper tail. In that regard, and when the underlying distribution…
Asymptotic laws for upper and strong record values in the extreme domain of attraction and beyond
Gane Samb Lo, Mohammad ahsanullah
Asymptotic laws of records values have usually been investigated as limits in type. In this paper, we use functional representations of the tail of cumulative distribution function…
On some properties of the new Sine-skewed Cardioid Distribution
Cherif Mamadou Moctar Traoré, Moumouni Diallo, Gane Samb Lo +2
The new Sine Skewed Cardioid (ssc) distribution been just introduced and characterized by Ahsanullah (2018). Here, we study the asymptotic properties of its tails by determining it…
Uniform Rates of Convergence of Some Representations of Extremes : a first approach
Tchilabalo Atozou Kpanzou, Modou Ngom, Cherif Mamadou Moctar Traoré +2
Uniform convergence rates are provided for asymptotic representations of sample extremes. These bounds which are universal in the sense that they do not depend on the extreme value…