13 citations · 60 across the 82 of their papers we have counts for
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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…
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…
Moments estimators and omnibus chi-square tests for some usual probability laws
Gorgui Gning, Aladji Babacar Niang, Modou Ngom +1
For many probability laws, in parametric models, the estimation of the parameters can be done in the frame of the maximum likelihood method, or in the frame of moment estimation me…
Non parametric estimation of joint, Renyi-Stallis entropies and mutual information and asymptotic limits
Amadou Diadie Ba, Gane Samb Lo, Cheikh Tidiane Seck
This paper proposes a new method for estimating the joint probability mass function of a pair of discrete random variables. This estimator is used to construct joint Shannon Rényi-…
A multinomial Asymptotic Representation of Zenga's Discrete Index, its Influence Function and Data-driven Applications
Tchilabalo Abozou Kpanzou, Diam Ba, Cherif Moctar Mamadou Traoré +1
In this paper, we consider the Zenga index, one of the most recent inequality index. We keep the finite-valued original form and address the asymptotic theory. The asymptotic norma…
On the influence function for the Theil-like class of inequality measures
Tchilabalo Abozou Kpanzou, Diam Ba, Pape Djiby Mergane +1
On one hand, a large class of inequality measures, which includes the generalized entropy, the Atkinson, the Gini, etc., for example, has been introduced in Mergane and Lo (2013).…
A Theil-like Class of Inequality Measures, its Asymptotic Normality Theory and Applications
Pape Djiby Mergane, Tchilabalo Abozou Kpanzou, Diam Ba +1
In this paper, we consider a coherent theory about the asymptotic representations for a family of inequality indices called Theil-Like Inequality Measures (TLIM), within a Gaussian…
Asymptotic Representations of Statistics in the Functional Empirical process : A portal and some applications
Gane Samb Lo, Pape Djiby Mergane, Thilabola Atozou Kpanzou +1
In this research monograph, we deal with a very general asymptotic representation for statistics named GRI expressed in the functional empirical process, both one-dimensional and m…
Measuring inequality: application of semi-parametric methods to real life data
Tchilabalo Abozou Kpanzou, Tertius de Wet, Gane Samb Lo
A number of methods have been introduced in order to measure the inequality in various situations such as income and expenditure. In order to curry out statistical inference, one o…
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…
Divergence Measures Estimation and Its Asymptotic Normality Theory Using Wavelets Empirical Processes
Gane Samb Lo, Amadou Diadié Ba, Diam Ba
In this paper we provide the asymptotic theory of the general of -divergences measures, which includes the most common divergence measures : Renyi and Tsallis families and the K…
Asymptotic Theory and Statistical Decomposability gap Estimation for Takayama's Index
Pape Djiby Mergane, Cheikh Mohamed Haidara, Cheikh Tidiane Seck +1
In the spirit of recent asymptotic works on the General Poverty Index (GPI) in the field of Welfare Analysis, the asymptotic representation of the non-decomposable Takayama's index…
On the joint distribution of variations of the Gini index and Welfare indices
Gane Samb Lo, Pape Djiby Mergane, Tchilabalo Abozou Kpanzou
The aim of this paper is to establish the asymptotic behavior of the mutual influence of the Gini index and the poverty measures by using the Gaussian fields described in Mergane a…
Asymptotic confidence bands for copulas based on the transformation kernel estimator
Diam Ba, Cheikh Tidiane Seck, Gane Samb Lo
In this paper we establish asymptotic simultaneous confidence bands for the transformation kernel estimator of copulas introduced in Omelka et al.(2009). To this aim, we prove a un…
A note on the asymptotic normality of sums of extreme values
Gane Samb Lo
Let , ,... be a sequence of independent random variables with common distribution function in the domain of attraction of a Gumbel extreme value distribution and for…
How to use the functional empirical process for deriving asymptotic laws for functions of the sample
Gane Samb Lo
The functional empirical process is a very powerful tool for deriving asymptotic laws for almost any kind of statistics whenever we know how to express them into functions of the s…
A double-indexed functional Hill process and applications
Modou Ngom, Gane Samb Lo
Let be the order statistics associated with a sample whose pertaining distribution function (% \textit{df}) is . We are con…
Consistency bands for the mean excess function and application to graphical goodness of fit test for financial data
Gane Samb Lo, Diadie Ba, Elhadji Deme +1
In this paper, we use the modern setting of functional empirical processes and recent techniques on uniform estimation for non parametric objects to derive consistency bands for th…
Asymptotic confidence bands for copulas based on the local linear kernel estimator
Diam Ba, Cheikh Tidiane Seck, Gane Samb Lo
In this paper we establish asymptotic simultaneous confidence bands for copulas based on the local linear kernel estimator proposed by Chen and Huang [1]. For this, we prove under…
Probabilistic, statistical and algorithmic aspects of the similarity of texts and application to Gospels comparison
Gane Samb Lo, Soumaila Dembele
The fundamental problem of similarity studies, in the frame of data-mining, is to examine and detect similar items in articles, papers, books, with huge sizes. In this paper, we ar…
Strong limits related to the oscillation modulus of the empirical process based on the k-spacing process
Gane Samb Lo
Recently, several strong limit theorems for the oscillation moduli of the empirical process have been given in the iid-case. We show that, with very slight differences, those stron…
Gaussian Approximations and Related Questions for the Spacings process
Gane Samb Lo
All the available results on the approximation of the k-spacings process to Gaussian processes have only used one approach, that is the Shorack and Pyke's one. Here, it is shown th…
The weak limiting behavior of the de Haan-Resnick estimator of the exponent of a stable distribution
Gane Samb Lo
The problem of estimating the exponent of a stable law received a considerable attention in the recent literature. Here, we deal with an estimate of such a exponent introduced by D…