Edit Profile (opens in new tab) Harel, Michel Co-Author Distance Author ID: harel.michel Published as: Harel, Michel; Harel, M. Documents Indexed: 58 Publications since 1980 Co-Authors: 10 Co-Authors with 50 Joint Publications 162 Co-Co-Authors all top 5 Co-Authors 8 single-authored 29 Puri, Madan Lal 11 Elharfaoui, Echarif 7 Ngatchou Wandji, Joseph 3 O’Cinneide, Colm Art 2 Andriamampionona, Livasoa 2 Harison, Victor 2 Lenain, Jean-François 2 Ragbi, Bouameur 2 Ravelomanantsoa, Fy Mamenosoa 2 Schneider, Helmut all top 5 Serials 11 Comptes Rendus de l’Académie des Sciences. Série I 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Multivariate Analysis 5 Journal of Statistical Planning and Inference 4 Statistical Inference for Stochastic Processes 2 Journal of Applied Mathematics and Stochastic Analysis 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Far East Journal of Theoretical Statistics 1 Journal of Mathematical Analysis and Applications 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Probability 1 Cahiers du Centre d’Études de Recherche Opérationnelle 1 Advances in Applied Mathematics 1 Statistique et Analyse des Données 1 American Journal of Mathematical and Management Sciences 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Probabilités et Applications 1 Statistics 1 Journal of Theoretical Probability 1 Stochastic Processes and their Applications 1 Statistical Papers 1 Journal of Nonparametric Statistics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique Fields 48 Probability theory and stochastic processes (60-XX) 43 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 110 times in 67 Documents Cited by ▼ Year ▼ Limiting behavior of U-statistics, V-statistics, and one sample rank order statistics for nonstationary absolutely regular processes. Zbl 0683.60007 Harel, Michel; Puri, Madan L. 16 1989 Conditional \(U\)-statistics for dependent random variables. Zbl 0876.62041 Harel, Michel; Puri, Madan L. 13 1996 A Cramér-von Mises test for symmetry of the error distribution in asymptotically stationary stochastic models. Zbl 1292.62130 Ngatchou-Wandji, Joseph; Harel, Michel 9 2013 Asymptotics of the sample renewal function. Zbl 0814.62027 Harel, Michel; O’Cinneide, Colm A.; Schneider, Helmut 8 1995 Weak convergence of the U-statistic and weak invariance of the one-sample rank order statistic for Markov processes and ARMA models. Zbl 0693.62023 Harel, Michel; Puri, Madan L. 6 1989 Weak invariance of generalized U-statistics for nonstationary absolutely regular processes. Zbl 0701.60025 Harel, Michel; Puri, Madan L. 5 1990 Conditional empirical processes defined by nonstationary absolutely regular sequences. Zbl 0952.62035 Harel, Michel; Puri, Madan L. 4 1999 Weak convergence of serial rank statistics under dependence with applications in time series and Markov processes. Zbl 0705.62083 Harel, Michel; Puri, Madan L. 4 1990 The space \(\tilde D_ k\) land weak convergence for the rectangle-indexed processes under mixing. Zbl 0721.60037 Harel, Michel; Puri, Madan L. 4 1990 Weak convergence of serial rank statistics under dependence with applications in time series and Markov processes. (Convergence faible de la statistique sérielle linéaire de rang en condition de dépendance avec applications aux séries chronologiques et processus de Markov.) Zbl 0655.62086 Harel, Michel; Puri, Madan 3 1987 Weak convergence of multidimensional rank statistics under \(\phi\)-mixing conditions. Zbl 0656.60016 Harel, Michel 3 1988 Convergence faible de la statistique sérielle linéaire de rang avec des fonctions de scores et des constantes de régression non bornées en condition de mélange. (Weak convergence of the serial linear rank statistic with unbounded scores and regression constants under mixing conditions). Zbl 0678.62031 Harel, Michel; Puri, Madan 3 1988 Convergence en loi pour la topologie de Skorohod éclatée du processus empirique multidimensionnel normalisé, tronqué, éclaté et corrigé. Zbl 0569.60020 Harel, Michel 3 1984 Nonparametric density estimators based on nonstationary absolutely regular random sequences. Zbl 0897.62036 Harel, Michel; Puri, Madan L. 3 1996 Autoregression quantiles and related rank score processes for generalized random coefficient autoregressive processes. Zbl 1067.62570 Harel, Michel; Puri, Madan L. 2 1998 Weak convergence of the simple linear rank statistic under mixing conditions in the nonstationary case. Zbl 0809.62010 Harel, M.; Puri, M. L. 2 1993 Weak convergence of weighted empirical \(U\)-statistics processes for dependent random variables. Zbl 0793.60021 Harel, Michel; O’Cinneide, Colm Art; Puri, Madan L. 2 1994 Central limit theorem of the smoothed empirical distribution functions for asymptotically stationary absolutely regular stochastic processes. Zbl 1145.60015 Elharfaoui, Echarif; Harel, Michel 2 2008 Asymptotic behavior of the nonparametric estimator for the renewal function associated with independent and nonstationary positive random variables. (Comportement asymptotique de lestimateur non paramétrique de la fonction de renouvellement associée à des variables aléatoires positives indépendantes et non stationnaires.) Zbl 06216330 Harel, Michel; Ravelomanantsoa, Fy Mamenosoa 2 2013 On change-points tests based on two-samples \(U\)-statistics for weakly dependent observations. Zbl 1493.62086 Ngatchou-Wandji, Joseph; Elharfaoui, Echarif; Harel, Michel 2 2022 Comportement limite de la U-statistique, de la V-statistique et d’une statistique de rang à un échantillon pour des processus absolument réguliers non stationnaires. (Limiting behavior of U-statistics, V- statistics and one sample rank order statistics for nonstationary absolutely regular processes). Zbl 0644.60027 Harel, Michel; Puri, Madan 1 1988 Convergence pour les processus empiriques éclatés. Zbl 0533.62044 Harel, Michel 1 1983 La convergence faible des \(U\)-statistiques multivariées pour des processus non stationnaires. (The slow convergence of multivariate \(U\)-statistics for nonstationary processes). Zbl 1030.62040 Harel, Michel; Elharfaoui, Echarif 1 2003 Convergence faible de la statistique de rang multidimensionnelle en condition de \(\phi\) melange ou de melange fort. (Weak convergence of the multivariate rank order statistic under condition of \(\phi\)-mixing or strong mixing). Zbl 0621.62020 Harel, Michel 1 1986 Théorème central limite de l’estimateur de densité et de l’erreur quadratique intégrée pour des variables aléatoires non stationnaires. (Central limit theorem for density estimator and integrated square error based on nonstationary random variables). Zbl 0715.60030 Harel, Michel; Puri, Madan 1 1991 Weak convergence of the serial linear rank statistic with unbounded scores and regression constants under mixing conditions. Zbl 0719.62029 Harel, Michel; Puri, Madan L. 1 1990 Weak invariance of the multidimensional rank statistic for nonstationary absolutely regular processes. Zbl 0721.60036 Harel, Michel; Puri, Madan L. 1 1991 Asymptotic normality of nearest neighbor regression function estimates based on nonstationary dependent observations. Zbl 0855.62034 Harel, Michel; Puri, Madan L. 1 1995 Convergence en loi pour la topologie de Skorohod du processus empirique multidimensionnel normalise tronque et semi-corrige (Étude au voisinage de la frontière inferieure de \([0,1^ 1+^ k]\)). Zbl 0457.60022 Harel, Michel 1 1980 Law of the iterated logarithm for perturbed empirical distribution functions evaluated at a random point for nonstationary random variables. Zbl 0812.60028 Harel, Michel; Puri, Madan L. 1 1994 The marked empirical process to test nonlinear time series against a large class of alternatives when the random vectors are nonstationary and absolutely regular. Zbl 1314.62204 Harel, Michel; Elharfaoui, Echarif 1 2012 Asymptotic behaviour of binned kernel density estimators for locally non-stationary random fields. Zbl 1341.60041 Harel, Michel; Lenain, Jean-François; Ngatchou-Wandji, Joseph 1 2016 Une méthode semi-paramétrique pour tester un modèle de régression. (A semi-parametric method to test a regression model). Zbl 1020.62033 Harel, Michel 1 2003 Asymptotic behavior of nonparametric estimators of the two-dimensional and bivariate renewal functions. Zbl 1423.60043 Harel, Michel; Andriamampionona, Livasoa; Harison, Victor 1 2019 On change-points tests based on two-samples \(U\)-statistics for weakly dependent observations. Zbl 1493.62086 Ngatchou-Wandji, Joseph; Elharfaoui, Echarif; Harel, Michel 2 2022 Asymptotic behavior of nonparametric estimators of the two-dimensional and bivariate renewal functions. Zbl 1423.60043 Harel, Michel; Andriamampionona, Livasoa; Harison, Victor 1 2019 Asymptotic behaviour of binned kernel density estimators for locally non-stationary random fields. Zbl 1341.60041 Harel, Michel; Lenain, Jean-François; Ngatchou-Wandji, Joseph 1 2016 A Cramér-von Mises test for symmetry of the error distribution in asymptotically stationary stochastic models. Zbl 1292.62130 Ngatchou-Wandji, Joseph; Harel, Michel 9 2013 Asymptotic behavior of the nonparametric estimator for the renewal function associated with independent and nonstationary positive random variables. (Comportement asymptotique de lestimateur non paramétrique de la fonction de renouvellement associée à des variables aléatoires positives indépendantes et non stationnaires.) Zbl 06216330 Harel, Michel; Ravelomanantsoa, Fy Mamenosoa 2 2013 The marked empirical process to test nonlinear time series against a large class of alternatives when the random vectors are nonstationary and absolutely regular. Zbl 1314.62204 Harel, Michel; Elharfaoui, Echarif 1 2012 Central limit theorem of the smoothed empirical distribution functions for asymptotically stationary absolutely regular stochastic processes. Zbl 1145.60015 Elharfaoui, Echarif; Harel, Michel 2 2008 La convergence faible des \(U\)-statistiques multivariées pour des processus non stationnaires. (The slow convergence of multivariate \(U\)-statistics for nonstationary processes). Zbl 1030.62040 Harel, Michel; Elharfaoui, Echarif 1 2003 Une méthode semi-paramétrique pour tester un modèle de régression. (A semi-parametric method to test a regression model). Zbl 1020.62033 Harel, Michel 1 2003 Conditional empirical processes defined by nonstationary absolutely regular sequences. Zbl 0952.62035 Harel, Michel; Puri, Madan L. 4 1999 Autoregression quantiles and related rank score processes for generalized random coefficient autoregressive processes. Zbl 1067.62570 Harel, Michel; Puri, Madan L. 2 1998 Conditional \(U\)-statistics for dependent random variables. Zbl 0876.62041 Harel, Michel; Puri, Madan L. 13 1996 Nonparametric density estimators based on nonstationary absolutely regular random sequences. Zbl 0897.62036 Harel, Michel; Puri, Madan L. 3 1996 Asymptotics of the sample renewal function. Zbl 0814.62027 Harel, Michel; O’Cinneide, Colm A.; Schneider, Helmut 8 1995 Asymptotic normality of nearest neighbor regression function estimates based on nonstationary dependent observations. Zbl 0855.62034 Harel, Michel; Puri, Madan L. 1 1995 Weak convergence of weighted empirical \(U\)-statistics processes for dependent random variables. Zbl 0793.60021 Harel, Michel; O’Cinneide, Colm Art; Puri, Madan L. 2 1994 Law of the iterated logarithm for perturbed empirical distribution functions evaluated at a random point for nonstationary random variables. Zbl 0812.60028 Harel, Michel; Puri, Madan L. 1 1994 Weak convergence of the simple linear rank statistic under mixing conditions in the nonstationary case. Zbl 0809.62010 Harel, M.; Puri, M. L. 2 1993 Théorème central limite de l’estimateur de densité et de l’erreur quadratique intégrée pour des variables aléatoires non stationnaires. (Central limit theorem for density estimator and integrated square error based on nonstationary random variables). Zbl 0715.60030 Harel, Michel; Puri, Madan 1 1991 Weak invariance of the multidimensional rank statistic for nonstationary absolutely regular processes. Zbl 0721.60036 Harel, Michel; Puri, Madan L. 1 1991 Weak invariance of generalized U-statistics for nonstationary absolutely regular processes. Zbl 0701.60025 Harel, Michel; Puri, Madan L. 5 1990 Weak convergence of serial rank statistics under dependence with applications in time series and Markov processes. Zbl 0705.62083 Harel, Michel; Puri, Madan L. 4 1990 The space \(\tilde D_ k\) land weak convergence for the rectangle-indexed processes under mixing. Zbl 0721.60037 Harel, Michel; Puri, Madan L. 4 1990 Weak convergence of the serial linear rank statistic with unbounded scores and regression constants under mixing conditions. Zbl 0719.62029 Harel, Michel; Puri, Madan L. 1 1990 Limiting behavior of U-statistics, V-statistics, and one sample rank order statistics for nonstationary absolutely regular processes. Zbl 0683.60007 Harel, Michel; Puri, Madan L. 16 1989 Weak convergence of the U-statistic and weak invariance of the one-sample rank order statistic for Markov processes and ARMA models. Zbl 0693.62023 Harel, Michel; Puri, Madan L. 6 1989 Weak convergence of multidimensional rank statistics under \(\phi\)-mixing conditions. Zbl 0656.60016 Harel, Michel 3 1988 Convergence faible de la statistique sérielle linéaire de rang avec des fonctions de scores et des constantes de régression non bornées en condition de mélange. (Weak convergence of the serial linear rank statistic with unbounded scores and regression constants under mixing conditions). Zbl 0678.62031 Harel, Michel; Puri, Madan 3 1988 Comportement limite de la U-statistique, de la V-statistique et d’une statistique de rang à un échantillon pour des processus absolument réguliers non stationnaires. (Limiting behavior of U-statistics, V- statistics and one sample rank order statistics for nonstationary absolutely regular processes). Zbl 0644.60027 Harel, Michel; Puri, Madan 1 1988 Weak convergence of serial rank statistics under dependence with applications in time series and Markov processes. (Convergence faible de la statistique sérielle linéaire de rang en condition de dépendance avec applications aux séries chronologiques et processus de Markov.) Zbl 0655.62086 Harel, Michel; Puri, Madan 3 1987 Convergence faible de la statistique de rang multidimensionnelle en condition de \(\phi\) melange ou de melange fort. (Weak convergence of the multivariate rank order statistic under condition of \(\phi\)-mixing or strong mixing). Zbl 0621.62020 Harel, Michel 1 1986 Convergence en loi pour la topologie de Skorohod éclatée du processus empirique multidimensionnel normalisé, tronqué, éclaté et corrigé. Zbl 0569.60020 Harel, Michel 3 1984 Convergence pour les processus empiriques éclatés. Zbl 0533.62044 Harel, Michel 1 1983 Convergence en loi pour la topologie de Skorohod du processus empirique multidimensionnel normalise tronque et semi-corrige (Étude au voisinage de la frontière inferieure de \([0,1^ 1+^ k]\)). Zbl 0457.60022 Harel, Michel 1 1980 all cited Publications top 5 cited Publications all top 5 Cited by 66 Authors 27 Harel, Michel 13 Puri, Madan Lal 9 Bouzebda, Salim 8 Ngatchou Wandji, Joseph 7 Elharfaoui, Echarif 4 Nemouchi, Boutheina 3 Allison, James Samuel 3 Ruymgaart, Frits H. 3 Terpstra, Jeffrey Todd 2 Andriamampionona, Livasoa 2 Hallin, Marc 2 Harison, Victor 2 Ragbi, Bouameur 2 Ravelomanantsoa, Fy Mamenosoa 1 Berlinet, Alain F. 1 Bhaskara Rao, M. 1 Cadre, Benoît 1 Carbon, Michel 1 Chanda, Kamal C. 1 Corradi, Valentina 1 Didi, Sultana 1 Ducharme, Gilles R. 1 Duchesne, Thierry 1 Ebner, Bruno 1 El-hadjali, Thouria 1 Elhattab, Issam 1 Ferfache, Anouar Abdeldjaoued 1 Fontez, Bénédicte 1 Fort, Gersende 1 Fu, Ke’ang 1 Gannoun, Ali 1 Hidalgo, Javier 1 Hu, Junwei 1 Jin, Sainan 1 Klar, Bernhard 1 Laforet, Annie 1 Lenain, Jean-François 1 Li, Linxiong 1 Liebenberg, Shawn Carl 1 Ltaifa, Marwa 1 Lu, Tao 1 Masiello, Esterina 1 Mathew, Angel 1 McKean, Joseph W. 1 Meier, Ulrich 1 Meintanis, Simos G. 1 Mélard, Guy 1 Moulines, Eric 1 Naranjo, Joshua D. 1 Nezzal, Amel 1 Nieuwenhuis, Gert 1 Pitts, Susan M. 1 Politis, Konstadinos G. 1 Pretorius, Charl 1 Priouret, Pierre 1 Soukarieh, Inass 1 Swanson, Norman Rasmus 1 Taachouche, Nourelhouda 1 Tabacu, Lucia 1 Tran, Lanh Tat 1 van Zuijlen, Martien C. A. 1 Vandekerkhove, Pierre 1 Wang, Lihong 1 Zhang, Jing 1 Zhang, Jun 1 Zhu, Xuehu all top 5 Cited in 29 Serials 12 Journal of Statistical Planning and Inference 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Statistical Inference for Stochastic Processes 4 Journal of Multivariate Analysis 4 Statistics & Probability Letters 4 Communications in Statistics. Theory and Methods 4 Statistical Papers 3 Journal of Nonparametric Statistics 2 Annals of the Institute of Statistical Mathematics 2 Statistics 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 The Annals of Statistics 1 Naval Research Logistics 1 Advances in Applied Mathematics 1 American Journal of Mathematical and Management Sciences 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Probabilités et Applications 1 Journal of Theoretical Probability 1 Journal of Applied Mathematics and Stochastic Analysis 1 Computational Statistics 1 Stochastic Processes and their Applications 1 Test 1 Mathematical Methods of Statistics 1 Revista Matemática Complutense 1 Journal of Applied Statistics 1 Econometric Theory 1 Scandinavian Actuarial Journal 1 Sankhyā. Series A 1 Japanese Journal of Statistics and Data Science all top 5 Cited in 7 Fields 59 Statistics (62-XX) 36 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year