2 citations · 2 across the 7 of their papers we have counts for
8 papers
Bias-Corrected Estimators for Joint Entropy, Conditional Entropy, and Mutual Information in the Discrete Bivariate Case: Theory and an Application to Motor Insurance
Amadou Diadie Ba
This paper studies the finite-sample bias of plug-in estimators for joint entropy, conditional entropy, and mutual information for finitely supported discrete random variables. Usi…
Nonparametric Estimation of Extropy, Rényi Extropy, and Tsallis Extropy: Almost Sure Convergence and Asymptotic Normality
Amadou Diadie Ba
This paper proposes a nonparametric estimation procedure for extropy and its extensions, namely the α-Rényi and α-Tsallis extropies, for finite discrete random variables. We establ…
Finite-Sample Bias Correction for Plug-in Estimators of Extropy, Rényi Extropy, and Tsallis Extropy
Amadou Diadie Ba
This paper studies the finite-sample bias of plug-in estimators for Shannon, Rényi, and Tsallis extropies for finitely supported discrete random variables. We derive explicit first…
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-…
Entropies and their Asymptotic Theory in the discrete case
Amadou Diadie Ba, Gane Samb Lo
We present some new nonparametric estimators of entropies and we establish almost sure consistency and central limit Theorems for some of the most important entropies in the discre…
Divergence measures estimation and its asymptotic normality theory in the discrete case
Ba Amadou Diadie, Gane Samb Lo
In this paper we provide the asymptotic theory of the general of -divergences measures, which include the most common divergence measures : Renyi and Tsallis families and the Ku…
Consistency Bands for divergences measures
Amadou Diadie Ba
By wavelets approach we estimate densities. Then by means of mean value theorem we establish asymptotic consistency and normality for special divergence measures and construct thei…
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…