Publications

(2024). Multiple combined gamma kernel estimations for nonnegative data with Bayesian adaptive bandwidths. Computational Statistics 39(2), 905–937. [The first two authors dedicate this paper to Professor Blaise Somé for his 70th birthday].

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(2024). Mean and variance for count regression models based on reparameterized distributions. Sankhya B 86(1), 280–310.

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(2024). Asymptotic results for recursive multivariate associated kernel estimators of the probability density mass function of a data stream. Communications in Statistics – Theory and Methods, Accepted for publication (2024.05.12), pp.1–16.

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(2023). The balanced discrete triplet Lindley model and its INAR(1) extension: properties and COVID-19 applications. International Journal of Biostatistics 19(2), 489–516.

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(2023). On underdispersed count kernels for smoothing probability mass functions. Stats 6(4), 1226–1240.

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(2023). Choice between and within the classes of Poisson-Tweedie and Poisson-exponential-Tweedie count models. Communications in Statistics - Simulation and Computation 52(5), 2115–2129.

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(2023). Bayesian local bandwidths in a flexible semiparametric kernel estimation for multivariate count data with diagnostics. Statistical Methods & Applications 32(3), 843–865. [This article is dedicated to, and in memory of, Professor Longin Somé (1955–2022)].

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(2023). Asymptotic properties of the normalised discrete associated-kernel estimator for probability mass function. Journal of Nonparametric Statistics 35(2), 355–372.

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(2022). Re-analyzing the SARS-CoV-2 series using an extended integer-valued time series models: A situational assessment of the COVID-19 in Mauritius. Plos ONE 17(2), Paper No. e0263515, 17 pp.

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(2022). On general exponential weight functions and variation phenomenon. Sankhya A 84(2), 924–940. [This paper is dedicated to Professor Gérard Letac for his 80th birthday].

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(2022). Discriminating between and within (semi)continuous classes of both Tweedie and geometric Tweedie models. Journal of Statistical Computation and Simulation 92(4), 794–812.

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(2022). Correction notice to: Asymptotic normality of the test statistics for the unified relative dispersion and relative variation indexes. Journal of Applied Statistics 49(6), 1612–1614.

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(2022). Bayesian selector of adaptive bandwidth for multivariate gamma kernel estimator on $[0,ınfty)^d$. Journal of Applied Statistics 49(7), 1692–1713.

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(2021). Tweedie regression models and its geometric sums for (semi-)continuous data. Wiley Interdisciplinary Reviews (WIREs) Computational Statistics 13(1), Paper No. e1496, 17pp.

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(2021). The exponential variation property for the Weibull distribution. International Journal of Applied Mathematics & Statistics 60(3), 90–97.

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(2021). On Poisson-exponential-Tweedie models for ultra-overdispersed count data. AStA Advances in Statistical Analysis 105(1), 1–23.

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(2020). Relative variation indexes for multivariate continuous distributions on $(0,ınfty)^k$ and extensions. AStA Advances in Statistical Analysis 104(2), 285–307.

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(2020). Geometric Tweedie regression models for continuous and semicontinuous data with variation phenomenon. AStA Advances in Statistical Analysis 104(1), 33–58.

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(2020). Asymptotic normality of the test statistics for the unified relative dispersion and relative variation indexes. Journal of Applied Statistics 47(13-15), 2479–2491.

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(2020). A complete characterization of multivariate normal stable Tweedie models through a Monge-Ampère property. Acta Mathematica Sinica (English Series) 36(11), 1232–1244.

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(2019). Geometric dispersion models with real quadratic v-functions. Statistics and Probability Letters 145, 197–204.

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(2019). Double Poisson-Tweedie regression models (with Analyzing CD4 cell count in HIV-positive pregnant women). International Journal of Biostatistics 15(1), Paper No. 20180119, 15 pp.

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(2018). On multivariate associated kernels to estimate general density functions. Journal of the Korean Statistical Society 47(1), 112–126.

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(2018). Non-parametric estimation of the number of zeros in truncated count distributions. Scandinavian Journal of Statistics 45(2), 347–365.

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(2018). Generalized variance functions for infinitely divisible mixture distributions. Mediterranean Journal of Mathematics 15(4), Paper No. 165, 19 pp.

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(2018). Fisher dispersion index for multivariate count distributions: a review and a new proposal. Journal of Multivariate Analysis 165, 180–193. [This paper is dedicated to, and in memory of, Professor Bent Jørgensen (1954–2015)].

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(2018). Extended Poisson-Tweedie: properties and regression models for count data. Statistical Modelling 18(1), 24–49. [This article is dedicated in honour and memory of Professor Bent Jørgensen].

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(2018). Characterization and classification of multiple stable Tweedie models. Lithuanian Mathematical Journal 58(4), 441–456.

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(2018). Bayesian adaptive bandwidth selector for multivariate discrete kernel estimator. Communications in Statistics - Theory and Methods 47(12), 2988–3001.

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(2018). Asymptotic results for continuous associated kernel estimators of density functions. African Diaspora Journal of Mathematics 21(1), 87–97.

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(2017). The mode-dispersion approach for constructing continuous associated kernels. Afrika Statistika 12(3), 1417–1446.

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(2017). Poisson-weighted estimation by discrete kernel with application to radiation biodosimetry. Biomedical Big Data & Statistics for Low Dose Radiation Research - Extended Abstracts Fall 2015, vol. VII, Part II, Chap.19, pp. 115–120 (Editors: Ainsbury EA, Calle ML, Cardis E, Einbeck J, Gómez G, Puig P), Springer Birkhauser, Basel..

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(2017). On the mean value parametrization of natural exponential families---a revisited review. Mathematical Methods of Statistics 26(3), 159–175.

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(2017). On generalized variance of product of powered components and multiple stable Tweedie models. Communications in Statistics - Theory and Methods 46(14), 7225–7237.

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(2017). On generalized variance of normal-Poisson model and Poisson variance estimation under Gaussianity. ARPN Journal of Engineering and Applied Sciences 12(12), 3836–3842.

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(2017). Flexible Tweedie regression models for continuous data. Journal of Statistical Computation and Simulation 87(11), 2138–2152.

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(2017). Comparison between two bivariate Poisson distributions through the phi-divergence. Afrika Statistika 12(3), 1481–1494.

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(2016). Simulations of full multivariate Tweedie with flexible dependence structure. Computational Statistics 31(4), 1477–1492.

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(2016). Performance of discrete associated kernel estimators through the total variation distance. Statistics and Probability Letters 110, 225–235.

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(2016). Modified Schwarz and Hannan-Quinn information criteria for weak VARMA models. Statistical Inference for Stochastic Processes 19(2), 199–217.

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(2016). Generalized variance estimations of normal-Poisson models. Forging Connections Between Computational Mathematics and Computational Geometry, Chap. 21, pp. 247–260 (Editors: K Chen, A Ravindran), Springer Proceedings in Mathematics and Statistics, Vol. 124, Springer International Publishing Switzerland.

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(2016). Empirical comparison of ML and UMVU estimators of the generalized variance for some normal stable Tweedie models: a simulation study. Applied Mathematical Sciences 10(63), 3107–3118.

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(2016). Effects of associated kernels in nonparametric multiple regressions. Journal of Statistical Theory and Practice 10(2), 456–471.

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(2016). Discrete dispersion models and their Tweedie asymptotics. AStA Advances in Statistical Analysis 100(1), 43–78.

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(2016). Comparison study to bandwidth selection in binomial kernel estimation using Bayesian approaches. Journal of Statistical Theory and Practice 10(1), 133–153.

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(2016). Bayesian local bandwidth selector in multivariate associated kernel estimator for joint probability mass functions. Journal of Statistical Computation and Simulation 86(18), 3667–3681.

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(2016). Bayesian bandwidth selection in discrete multivariate associated kernel estimators for probability mass functions. Journal of the Korean Statistical Society 45(4), 557–567.

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(2016). Associated kernel discriminant analysis for multivariate mixed data. Electronic Journal of Applied Statistical Analysis 9(2), 385–399.

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(2016). Ake: an R package for discrete and continuous associated kernel estimations. The R Journal 8(2), 258–276.

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(2015). Signal-based diagnostics by wavelet transform for proton exchange membrane fuel cell. Energy Procedia 74, 1508–1516.

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(2015). Selection of mother wavelet and decomposition level for energy management in electrical vehicles including a fuel cell. International Journal of Hydrogen Energy 40(45), 15823–15833.

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(2015). On general continuous triangular and two-sided power distributions. Communications in Statistics - Theory and Methods 44(14), 3099–3106.

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(2015). Nonparametric estimation for probability mass function with Disake: an R package for discrete associated kernel estimators. ARIMA Rev. Afr. Rech. Inform. Math. Appl. (ARIMA Journal) 19, 1–23.

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(2015). Characterizations of multivariate normal-Poisson model. Journal of the Iranian Statistical Society 14(2), 37–52.

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(2015). Characteristic property of a class of multivariate variance functions. Lithuanian Mathematical Journal 55(4), 506–517.

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(2015). A characterization of multivariate normal stable Tweedie models and their associated polynomials. Journal of Computational and Applied Mathematics 288, 159–168.

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(2014). Over- and Underdispersion Models. The Wiley Encyclopedia of Clinical Trials - Methods and applications of statistics in clinical trials. Vol. 2 - Planning, Analysis, and Inferential Methods, Chap. 30, pp. 506–526, (Editor: N Balakrishnan), John Wiley & Sons, Newark, NJ..

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(2014). On normal stable Tweedie models and power-generalized variance functions of only one component. TEST 23(3), 585–606. [The second author dedicates this work to Professor Gaston M N’guérékata for his 60th birthday].

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(2014). Bayesian estimation of adaptive bandwidth matrices in multivariate kernel density estimation. Computational Statistics and Data Analysis 75, 28–38.

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(2014). Bayesian approach in nonparametric count regression with binomial kernel. Communications in Statistics - Simulation and Computation 43(5), 1052–1063.

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(2013). On the Monge-Ampère equation for characterizing gamma-Gaussian model. Statistics and Probability Letters 83(7), 1692–1698.

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(2013). Adaptive smoothing in associated kernel discrete functions estimation using Bayesian approach. Journal of Statistical Computation and Simulation 83(12), 2219–2231.

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(2013). A Bayesian approach to bandwidth selection in univariate associate kernel estimation. Journal of Statistical Theory and Practice 7(1), 8–23.

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(2012). On semiparametric regression for count explanatory variables. Journal of Statistical Planning and Inference 142(6), 1537–1548.

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(2012). Binomial kernel and Bayes local bandwidth in discrete function estimation. Journal of Nonparametric Statistics 24(3), 783–795.

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(2012). A note on weighted count distributions. Journal of Statistical Theory and Applications 11(4), 337–352.

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(2011). On an extension of the negative binomial distribution. Journal of Statistical Theory and Applications 10(1), 23–35.

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(2011). Dispersion models for geometric sums. Brazilian Journal of Probability and Statistics 25(3), 263–293.

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(2011). Discrete associated kernels method and extensions. Statistical Methodology 8(6), 497–516.

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(2010). Extensions of discrete triangular distributions and boundary bias in kernel estimation for discrete functions. Statistics and Probability Letters 80(21-22), 1655–1662.

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(2009). Semiparametric estimation for count data through weighted distributions. Journal of Statistical Planning and Inference 139(10), 3625–3638.

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(2009). Consistency and asymptotic normality for discrete associated-kernel estimator. African Diaspora Journal of Mathematics 8(2), 63–70.

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(2009). Appropriate kernel regression on a count explanatory variable and applications. Advances and Applications in Statistics 12(1), 99–126.

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(2008). Generalized variance estimators in the multivariate gamma models. Mathematical Methods of Statistics 17(1), 66–73.

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(2008). Connections of the Poisson weight function to overdispersion and underdispersion. Journal of Statistical Planning and Inference 138(5), 1287–1296.

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(2008). A property of count distributions in the Hinde-Demétrio family. Communications in Statistics - Theory and Methods 37(12), 1823–1834.

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(2007). Two classes of models for overdispersed count data. Proceedings of the Tunisian Mathematical Society. Vol. 11, pp. 9–21, Nova Science Publishers, New York.

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(2007). Transorthogonal polynomials and simple cubic multivariate distributions. Far East Journal of Theoretical Statistics 21(2), 171–201.

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(2007). On Hinde-Demétrio regression models for overdispersed count data. Statistical Methodology 4(3), 271–291.

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(2007). Discrete triangular distributions and non-parametric estimation for probability mass function. Journal of Nonparametric Statistics 19(6-8), 241–254.

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(2007). Characterization of multivariate exponential families with polynomial variance function. Trends in African Diaspora Mathematics Research (Editor: T. Diagana), pp. 87–94, Nova Science Publishers, Huntington, New York.

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(2007). A strict arcsine regression model. Trends in African Diaspora Mathematics Research (Editor: T. Diagana), pp. 95–102, Nova Science Publishers, Huntington, New York.

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(2006). Quelques tests de la loi de Poisson contre des alternatives générales basés sur l'indice de dispersion de Fisher. Revue de Statistique Appliquée 54(4), 61–84.

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(2006). On Lévy measures for infinitely divisible natural exponential families. Statistics and Probability Letters 76(13), 1364–1368.

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(2006). Modified Lévy measures of Hinde-Demétrio processes. Ninth International Conference Zaragoza-Pau on Applied Mathematics and Statistics, Vol. 33, pp. 281–284, Prensas Univ. Zaragoza, Zaragoza.

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(2006). An MM-algorithm for a class of overdispersed regression models. Monogr. Semin. Mat. García Galdeano 33, 229–236.

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(2006). A characterization of Poisson-Gaussian families by generalized variance. Bernoulli 12(2), 371–379.

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(2005). On $d$-orthogonality of the Sheffer systems associated to a convolution semigroup. Journal of Computational and Applied Mathematics 181(1), 83–91.

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(2005). Implicit distributions and estimation. Communications in Statistics - Theory and Methods 34(2), 245–252.

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(2005). Characterizations of some polynomial variance functions by $d$-pseudo-orthogonality. Journal of Applied Mathematics and Computing 19(1-2), 427–438.

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(2005). Characterization of multivariate exponential families with polynomial variance function. Advances in Mathematics - African Diaspora Journal of Mathematics 1(1), 78–84.

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(2005). A strict arcsine regression model. Advances in Mathematics - African Diaspora Journal of Mathematics 1(1), 85–92.

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(2004). Overdispersion and Poisson-Tweedie exponential dispersion models. VIII Journées Zaragoza-Pau de Mathématiques Appliquées et de Statistiques, Vol. 31, pp. 365–374, Prensas Univ. Zaragoza, Zaragoza.

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(2004). On strict arcsine distribution. Statistics and Operations Research Transactions (SORT) 28(2), 201–214.

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(2004). On strict arcsine distribution. Communications in Statistics - Theory and Methods 33(5), 993–1006.

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(2004). On $d$-pseudo-orthogonality of the Sheffer systems associated to a convolution semigroup. VIII Journées Zaragoza-Pau de Mathématiques Appliquées et de Statistiques, Vol. 31, pp. 355–363, Prensas Univ. Zaragoza, Zaragoza.

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(2004). Contributions Théoriques et Pratiques aux Familles Exponentielles. High Degree of Research (HDR) Thesis in Applied Mathematics (Statistics and Probability), Université de Pau et des Pays de l’Adour, Pau, 50 pp.

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(2003). On UMVU estimator of the generalized variance for natural exponential families. Seventh Zaragoza-Pau Conference on Applied Mathematics and Statistics (Spanish) (Jaca, 2001), Vol. 27, pp. 353–360, Univ. Zaragoza, Zaragoza.

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(2002). Surdispersion et modèle binomial négatif généralisé. Revue de Statistique Appliquée 50(3), 73–86.

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(2002). Sur l'unimodalité de la vraisemblance pour différents modèles de probabilités de captures séquentielles. Maghreb Mathematical Review 11(3).

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(2001). First passage times on zero and one and natural exponential families. Statistics and Probability Letters 51(3), 293–298.

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(2001). Estimateurs de la variance généralisée pour des familles exponentielles non gaussiennes. C. R. Acad. Sci. Paris Sér. I Math. 332(4), 351–356.

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(1999). Surdispersion et modèles exponentiels de dispersion. Proceedings of the Vth Zaragoza-Pau Conference on Applied Mathematics and Statistics (Spanish) (Jaca, 1997), Vol. 20, pp. 335–342.

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(1999). Le problème d'Anscombe pour les lois binomiales négatives généralisées. Canadian Journal of Statistics 27(1), 187–193.

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(1998). Méthodes de vraisemblance pour les captures successives - application aux saumons dans l'Adour-Nive. Biométrie et Halieutique 15, 123–128.

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(1998). Evaluation du taux d'exploitation du saumon atlantique sur le bassin de l'Adour : Définition d'une méthode d'estimation - Application numerique pour trois annees de captures. Publication du Laboratoire IFREMER de St-Pée sur Nivelle, Nov. 1998, 33 pp.

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(1996). On the determinant of the second derivative of a Laplace transform. Annals of Statistics 24(4), 1813–1827.

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(1995). Une caractérisation des vecteurs gaussiens n-dimensionnels. Prépublication du Laboratoire LAMIFA, No.95/03, UPJV - Amiens, 9 pp.

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(1995). Sur les familles exponentielles naturelles réelles de grand-Babel. Annales de la Faculté des Sciences de Toulouse 4(4), 763–800.

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(1995). Formule d’Inversion de Lagrange et Interprétations Probabilistes : Chaînes de Markov, Marches Aléatoires et Graphes Aléatoires. Rapport Technique de la Faculté de Mathématiques et d’Informatique, Amiens, 27 pp.

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(1994). The Lindsay transform of natural exponential families. Canadian Journal of Statistics 22(2), 259–272.

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(1994). Le déterminant de la dérivée seconde d'une transformée de Laplace est une transformée de Laplace. C. R. Acad. Sci. Paris Sér. I Math. 318(4), 361–366.

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(1993). Familles Exponentielles Naturelles Réelles de Fonctions Variance en $RD+Q sqrt D$. PhD Thesis Université Paul Sabatier, No. 1467, Toulouse, 105 pp.

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(1992). La méthode de Lindsay appliquée à la construction de familles exponentielles de fonction variance de degré $4$ en $sqrt m$. C. R. Acad. Sci. Paris Sér. I Math. 314(4), 305–308.

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(1992). Caractérisation des fonctions variances de Seshadri des familles exponentielles sur $bf R$. C. R. Acad. Sci. Paris Sér. I Math. 314(13), 1063–1068.

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(1023). The shifted-exponential variation property of the Weibull and log-logistic models. Submitted for publication.

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(1023). New developments on (non-)normalized continuous associated-kernel density estimators: limit theorems. Preprint hal-041112846 – Submitted for publication.

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(1023). Discrete Kernel Smoothings. In Preparation.

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(1023). Cohorent indexes for shifted count and semicontinuous models. Submitted for publication.

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(1023). An effective estimation of multivariate density functions using extended-beta kernels with Bayesian adaptive bandwidths. Submitted for publication. [The authors dedicate this work to Professor Faustin Archange Touadera for his 66th birthday].

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