5 papers
Independence of the indicator functions of record values for Multivariate independent data
Gane Samb Lo, El Hadji Babou
We consider a sequence of random vectors on \(\mathbb{R}^d, \ d\geq 1\). We consider the record values based on the simultaneous strict inequality of the coordinates. The indicator…
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…
General asymptotic representations of indexes based on the functional empirical process and the residual functional empirical process and applications
Gane Samb Lo, Tchilabalo Abozou Kpanzou, Gandasor Bonyiri Onesiphore Da
The objective of this paper is to establish a general asymptotic representation (\textit{GAR}) for a wide range of statistics, employing two fundamental processes: the functional e…
A Jarque-Bera test for skew normal data
Diam Ba, Gorgui Gning, Gandasor Bonyiri Onesiphore Da +2
The skew normal law has been introduced in Azzalin (1985) as an alternative to adjusting asymmetric data that share important patterns with the normal law. It has been extensively…