Edit Profile (opens in new tab) Picard, Philippe Compute Distance To: Compute Author ID: picard.philippe Published as: Picard, Philippe; Picard, Ph.; Picar, Philipe more...less Documents Indexed: 66 Publications since 1962, including 1 Book 2 Contributions as Editor Co-Authors: 8 Co-Authors with 47 Joint Publications 194 Co-Co-Authors all top 5 Co-Authors 16 single-authored 47 Lefèvre, Claude 3 Lafay, Jean-François 2 Coulibaly, Ibrahim 2 Gabriel, Jean-Pierre 2 Grundland, Alfred Michel 2 Simon, Matthieu 2 Utev, Sergey 1 Denuit, Michel M. 1 Jacquez, John A. 1 Kissami, Abdelghani 1 Sename, Olivier all top 5 Serials 10 Journal of Applied Probability 8 Advances in Applied Probability 6 Mathematical Biosciences 5 Insurance Mathematics & Economics 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 2 Journal of Statistical Planning and Inference 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 2 Stochastic Processes and their Applications 2 Methodology and Computing in Applied Probability 2 Stochastics 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Automatica 1 Cahiers du Centre d’Études de Recherche Opérationnelle 1 IEEE Transactions on Automatic Control 1 Mathematics and Computers in Simulation 1 Scandinavian Actuarial Journal 1 Communications in Statistics. Stochastic Models 1 Probability in the Engineering and Informational Sciences 1 Applied Stochastic Models in Business and Industry 1 Scandinavian Actuarial Journal 1 Journal of Nonlinear Mathematical Physics 1 Lecture Notes in Biomathematics all top 5 Fields 40 Probability theory and stochastic processes (60-XX) 30 Biology and other natural sciences (92-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Statistics (62-XX) 5 Field theory and polynomials (12-XX) 5 Special functions (33-XX) 3 Ordinary differential equations (34-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Operator theory (47-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 50 Publications have been cited 419 times in 238 Documents Cited by ▼ Year ▼ The probability of ruin in finite time with discrete claim size distribution. Zbl 0926.62103Picard, Philippe; Lefèvre, Claude 58 1997 A unified analysis of the final size and severity distribution in collective Reed-Frost epidemic processes. Zbl 0719.92021Picard, Philippe; Lefèvre, Claude 38 1990 On some measures of the severity of ruin in the classical Poisson model. Zbl 0813.62093Picard, Philippe 26 1994 A non-standard family of polynomials and the final size distribution of Reed-Frost epidemic processes. Zbl 0709.92020Lefevre, Claude; Picard, Philippe 23 1990 First crossing of basic counting processes with lower nonlinear boundaries: A unified approach through pseudopolynomials. I. Zbl 0857.60085Picard, Philippe; Lefèvre, Claude 22 1996 A new look at the homogeneous risk model. Zbl 1229.91162Lefèvre, Claude; Picard, Philippe 20 2011 Distribution of the final extent of a rumour process. Zbl 0796.60098Lefevre, Claude; Picard, Philippe 17 1994 Multirisks model and finite-time ruin probabilities. Zbl 1035.62109Picard, Philippe; Lefèvre, Claude; Coulibaly, Ibrahim 16 2003 Ruin problems in discrete time risk theory with finite horizon. (Problèmes de ruine en théorie du risque à temps discret avec horizon fini.) Zbl 1049.62113Picard, Philippe; Lefèvre, Claude; Coulibaly, Ibrahim 15 2003 The moments of ruin time in the classical risk model with discrete claim size distribution. Zbl 0957.62089Picard, Philippe; Lefèvre, Claude 15 1998 A nonhomogeneous risk model for insurance. Zbl 1161.91418Lefèvre, Cl.; Picard, Ph. 15 2006 Risk models in insurance and epidemics: a bridge through randomized polynomials. Zbl 1414.91212Lefèvre, Claude; Picard, Philippe 13 2015 On the first meeting or crossing of two independent trajectories for some counting processes. Zbl 1075.60564Picard, Philippe; Lefèvre, Claude 11 2003 On the first crossing of the surplus process with a given upper barrier. Zbl 0806.62089Picard, Philippe; Lefèvre, Claude 11 1994 Applications of martingale theory to some epidemic models. Zbl 0446.92020Picard, Philippe 10 1980 Probability of eventual ruin in a discrete-time risk model. (Probabilité de ruine éventuelle dans un modèle de risque à temps discret.) Zbl 1140.91408Picard, Philippe; Lefèvre, Claude 10 2003 Polynomial structures in order statistics distributions. Zbl 1031.62038Denuit, M.; Lefèvre, Cl.; Picard, Ph. 9 2003 Model matching for linear systems with delays and 2D systems. Zbl 0937.93007Picard, P.; Lafay, J. F.; Kucera, V. 9 1998 Epidemic risk and insurance coverage. Zbl 1400.60098Lefèvre, Claude; Picard, Philippe; Simon, Matthieu 9 2017 An unusual stochastic order relation with some applications in sampling and epidemic theory. Zbl 0768.60011Lefevre, Claude; Picard, Philippe 8 1993 Ruin probabilities for risk models with ordered claim arrivals. Zbl 1307.91098Lefèvre, Claude; Picard, Philippe 8 2014 Feedback realization of nonsingular precompensators for linear systems with delays. Zbl 0888.93029Picard, P.; Lafay, J. F.; Kucera, V. 6 1997 The dimension of Reed-Frost epidemic models with randomized susceptibility levels. Zbl 0742.92020Picard, Philippe; Lefèvre, Claude 6 1991 Nonstationarity and randomization in the Reed-Frost epidemic model. Zbl 1099.92065Lefèvre, Claude; Picard, Philippe 6 2005 Abel-Gontcharoff pseudopolynomials and the exact final outcome of SIR epidemic models. III. Zbl 0974.92028Lefèvre, Claude; Picard, Philippe 5 1999 Distribution of the final state and severity of epidemics with fatal risk. Zbl 0783.60097Picard, Philippe; Lefèvre, Claude 5 1993 An epidemic model with fatal risk. Zbl 0798.92027Lefèvre, Claude; Picard, Philippe 5 1993 On the formulation of discrete-time epidemic models. Zbl 0669.92014Lefevre, Claude; Picard, Philippe 5 1989 Sur les modeles stochastiques logistiques en demographic. Zbl 0137.40001Picard, Ph. 4 1966 Corrigendum to: The moments of ruin time in the classical risk model with discrete claim size distribution. Zbl 1007.62529Picard, Ph.; Lefèvre, C. 3 1999 Collective epidemic models. Zbl 0844.92023Lefèvre, Claude; Picard, Philippe 3 1996 On the outcome of epidemics with detections. Zbl 1401.60147Lefèvre, Claude; Picard, Philippe 2 2017 Appell pseudopolynomials and Erlang-type risk models. Zbl 1337.60227Lefèvre, Claude; Picard, Philippe 2 2014 Final outcomes and disease insurance for a controlled epidemic model. Zbl 1419.91376Lefèvre, Claude; Picard, Philippe 2 2018 On the probability of (non-) ruin in infinity time. Zbl 0979.91046Picard, Philippe; Lefévre, Claude 2 2001 The final size distribution of epidemics spread by infectives behaving independently. Zbl 0719.92020Lefèvre, Claude; Picard, Philippe 2 1990 Collective epidemic processes: A general modelling approach to the final outcome of SIR infectious diseases. Zbl 0839.92022Lefèvre, Claude; Picard, Philippe 2 1995 Applications of martingale theory to some epidemic models. II. Zbl 0568.92020Picard, Philippe 1 1984 Polynomials, random walks and risk processes: a multivariate framework. Zbl 1370.60087Lefèvre, Claude; Picard, Philippe 1 2016 On the algebraic structure in Markovian processes of death and epidemic types. Zbl 0947.60078Picard, Philippe; Lefèvre, Claude 1 1999 A semi-hybrid model for malaria with limited superinfection. Zbl 0951.92025Picard, Philippe 1 1998 Applications of martingale theory to carrier-borne epidemic models with time-dependent parameters. Zbl 0469.92013Picard, Philippe 1 1981 On conditionally invariant solutions of magnetohydrodynamic equations. Multiple waves. Zbl 1040.35071Grundland, A. M.; Picard, P. 1 2004 A general approach to the integral functionals of epidemic processes. Zbl 1401.60148Lefèvre, Claude; Picard, Philippe 1 2018 Abel expansions and generalized Abel polynomials in stochastic models. Zbl 0858.60040Picard, Philippe; Lefevre, Claude 1 1996 On the first-crossing of a Poisson process in a lower boundary. Zbl 0858.60041Lefevre, Claude; Picard, Philippe 1 1996 Abelian-type expansions and nonlinear death processes. II. Zbl 0857.60086Lefèvre, Claude; Picard, Philippe 1 1996 Généralisation de l’étude sur la survenance des sinistres en assurance automobile. Zbl 0368.62103Picard, P. 1 1977 Two variants of the first Nåsell-Hirsch model. Zbl 0682.92009Picard, Philippe 1 1989 Another look at Gani’s carrier-borne epidemic model with two stages of infection. Zbl 0728.92022Picar, Philipe; Lefèvre, Claude 1 1991 Final outcomes and disease insurance for a controlled epidemic model. Zbl 1419.91376Lefèvre, Claude; Picard, Philippe 2 2018 A general approach to the integral functionals of epidemic processes. Zbl 1401.60148Lefèvre, Claude; Picard, Philippe 1 2018 Epidemic risk and insurance coverage. Zbl 1400.60098Lefèvre, Claude; Picard, Philippe; Simon, Matthieu 9 2017 On the outcome of epidemics with detections. Zbl 1401.60147Lefèvre, Claude; Picard, Philippe 2 2017 Polynomials, random walks and risk processes: a multivariate framework. Zbl 1370.60087Lefèvre, Claude; Picard, Philippe 1 2016 Risk models in insurance and epidemics: a bridge through randomized polynomials. Zbl 1414.91212Lefèvre, Claude; Picard, Philippe 13 2015 Ruin probabilities for risk models with ordered claim arrivals. Zbl 1307.91098Lefèvre, Claude; Picard, Philippe 8 2014 Appell pseudopolynomials and Erlang-type risk models. Zbl 1337.60227Lefèvre, Claude; Picard, Philippe 2 2014 A new look at the homogeneous risk model. Zbl 1229.91162Lefèvre, Claude; Picard, Philippe 20 2011 A nonhomogeneous risk model for insurance. Zbl 1161.91418Lefèvre, Cl.; Picard, Ph. 15 2006 Nonstationarity and randomization in the Reed-Frost epidemic model. Zbl 1099.92065Lefèvre, Claude; Picard, Philippe 6 2005 On conditionally invariant solutions of magnetohydrodynamic equations. Multiple waves. Zbl 1040.35071Grundland, A. M.; Picard, P. 1 2004 Multirisks model and finite-time ruin probabilities. Zbl 1035.62109Picard, Philippe; Lefèvre, Claude; Coulibaly, Ibrahim 16 2003 Ruin problems in discrete time risk theory with finite horizon. (Problèmes de ruine en théorie du risque à temps discret avec horizon fini.) Zbl 1049.62113Picard, Philippe; Lefèvre, Claude; Coulibaly, Ibrahim 15 2003 On the first meeting or crossing of two independent trajectories for some counting processes. Zbl 1075.60564Picard, Philippe; Lefèvre, Claude 11 2003 Probability of eventual ruin in a discrete-time risk model. (Probabilité de ruine éventuelle dans un modèle de risque à temps discret.) Zbl 1140.91408Picard, Philippe; Lefèvre, Claude 10 2003 Polynomial structures in order statistics distributions. Zbl 1031.62038Denuit, M.; Lefèvre, Cl.; Picard, Ph. 9 2003 On the probability of (non-) ruin in infinity time. Zbl 0979.91046Picard, Philippe; Lefévre, Claude 2 2001 Abel-Gontcharoff pseudopolynomials and the exact final outcome of SIR epidemic models. III. Zbl 0974.92028Lefèvre, Claude; Picard, Philippe 5 1999 Corrigendum to: The moments of ruin time in the classical risk model with discrete claim size distribution. Zbl 1007.62529Picard, Ph.; Lefèvre, C. 3 1999 On the algebraic structure in Markovian processes of death and epidemic types. Zbl 0947.60078Picard, Philippe; Lefèvre, Claude 1 1999 The moments of ruin time in the classical risk model with discrete claim size distribution. Zbl 0957.62089Picard, Philippe; Lefèvre, Claude 15 1998 Model matching for linear systems with delays and 2D systems. Zbl 0937.93007Picard, P.; Lafay, J. F.; Kucera, V. 9 1998 A semi-hybrid model for malaria with limited superinfection. Zbl 0951.92025Picard, Philippe 1 1998 The probability of ruin in finite time with discrete claim size distribution. Zbl 0926.62103Picard, Philippe; Lefèvre, Claude 58 1997 Feedback realization of nonsingular precompensators for linear systems with delays. Zbl 0888.93029Picard, P.; Lafay, J. F.; Kucera, V. 6 1997 First crossing of basic counting processes with lower nonlinear boundaries: A unified approach through pseudopolynomials. I. Zbl 0857.60085Picard, Philippe; Lefèvre, Claude 22 1996 Collective epidemic models. Zbl 0844.92023Lefèvre, Claude; Picard, Philippe 3 1996 Abel expansions and generalized Abel polynomials in stochastic models. Zbl 0858.60040Picard, Philippe; Lefevre, Claude 1 1996 On the first-crossing of a Poisson process in a lower boundary. Zbl 0858.60041Lefevre, Claude; Picard, Philippe 1 1996 Abelian-type expansions and nonlinear death processes. II. Zbl 0857.60086Lefèvre, Claude; Picard, Philippe 1 1996 Collective epidemic processes: A general modelling approach to the final outcome of SIR infectious diseases. Zbl 0839.92022Lefèvre, Claude; Picard, Philippe 2 1995 On some measures of the severity of ruin in the classical Poisson model. Zbl 0813.62093Picard, Philippe 26 1994 Distribution of the final extent of a rumour process. Zbl 0796.60098Lefevre, Claude; Picard, Philippe 17 1994 On the first crossing of the surplus process with a given upper barrier. Zbl 0806.62089Picard, Philippe; Lefèvre, Claude 11 1994 An unusual stochastic order relation with some applications in sampling and epidemic theory. Zbl 0768.60011Lefevre, Claude; Picard, Philippe 8 1993 Distribution of the final state and severity of epidemics with fatal risk. Zbl 0783.60097Picard, Philippe; Lefèvre, Claude 5 1993 An epidemic model with fatal risk. Zbl 0798.92027Lefèvre, Claude; Picard, Philippe 5 1993 The dimension of Reed-Frost epidemic models with randomized susceptibility levels. Zbl 0742.92020Picard, Philippe; Lefèvre, Claude 6 1991 Another look at Gani’s carrier-borne epidemic model with two stages of infection. Zbl 0728.92022Picar, Philipe; Lefèvre, Claude 1 1991 A unified analysis of the final size and severity distribution in collective Reed-Frost epidemic processes. Zbl 0719.92021Picard, Philippe; Lefèvre, Claude 38 1990 A non-standard family of polynomials and the final size distribution of Reed-Frost epidemic processes. Zbl 0709.92020Lefevre, Claude; Picard, Philippe 23 1990 The final size distribution of epidemics spread by infectives behaving independently. Zbl 0719.92020Lefèvre, Claude; Picard, Philippe 2 1990 On the formulation of discrete-time epidemic models. Zbl 0669.92014Lefevre, Claude; Picard, Philippe 5 1989 Two variants of the first Nåsell-Hirsch model. Zbl 0682.92009Picard, Philippe 1 1989 Applications of martingale theory to some epidemic models. II. Zbl 0568.92020Picard, Philippe 1 1984 Applications of martingale theory to carrier-borne epidemic models with time-dependent parameters. Zbl 0469.92013Picard, Philippe 1 1981 Applications of martingale theory to some epidemic models. Zbl 0446.92020Picard, Philippe 10 1980 Généralisation de l’étude sur la survenance des sinistres en assurance automobile. Zbl 0368.62103Picard, P. 1 1977 Sur les modeles stochastiques logistiques en demographic. Zbl 0137.40001Picard, Ph. 4 1966 all cited Publications top 5 cited Publications all top 5 Cited by 289 Authors 48 Lefèvre, Claude 26 Picard, Philippe 17 Loisel, Stéphane 12 Ball, Frank G. 9 Kaishev, Vladimir K. 8 Simon, Matthieu 7 Goffard, Pierre-Olivier 7 Ignatov, Zvetan G. 7 Li, Shuanming 6 Neal, Peter J. 5 Lu, Yi 5 Utev, Sergey 4 Avram, Florin 4 Britton, Tom 4 Denuit, Michel M. 4 Dimitrova, Dimitrina S. 4 Guo, Junyi 4 O’Neill, Philip D. 4 Politis, Konstadinos 4 Rullière, Didier 4 Šiaulys, Jonas 4 Willmot, Gordon E. 4 Wu, Rong 4 Zacks, Shelemyahu 3 Biard, Romain 3 Delsing, G. A. 3 Dickson, David C. M. 3 Feng, Runhuan 3 Macci, Claudio 3 Mandjes, Michel Robertus Hendrikus 3 Pellis, Lorenzo 3 Răducan, Anişoara Maria 3 Sirl, David J. 3 Spreij, P. J. C. 3 Stadje, Wolfgang 3 Tamturk, Muhsin 3 Trapman, Pieter 3 Vernic, Raluca 3 Winands, Erik M. M. 3 Zbăganu, Gheorghe H. 2 Albrecher, Hansjörg 2 Castañer, Anna 2 Clancy, Damian 2 Claramunt, M. Mercè 2 Dutang, Christophe 2 Egídio dos Reis, Alfredo D. 2 Ferguson, Neil M. 2 Fraser, Christophe 2 Gathy, Maude 2 Gerber, Hans U. 2 Grahovac, Danijel 2 Grigutis, Andrius 2 He, Jingmin 2 Hillairet, Caroline 2 Jin, Zhen 2 Krachunov, Rossen S. 2 Li, Jinxian 2 Lin, X. Sheldon 2 Lopez, Olivier 2 Massad, Eduardo 2 Mazza, Christian 2 Ortega, Neli Regina Siqueira 2 Pearce, Charles Edward Miller 2 Perry, David 2 Pitts, Susan M. 2 Pommeret, Denys 2 Sakhanenko, Aleksandr Ivanovich 2 Sangüesa, Carmen 2 Sendova, Kristina P. 2 Shao, Quanxi 2 Simon, Peter L. 2 Spencer, Simon Edward Frank 2 Trufin, Julien 2 Wei, Li 2 Zhang, Linfeng 2 Zhao, Shouqi 2 Zhou, Qianqian 1 Adell, José Antonio 1 Agliari, Elena 1 Allen, Linda J. S. 1 Alonso Quesada, Santiago 1 Andreoli, Alessandro 1 Andrulytė, Ieva Marija 1 Ankirchner, Stefan 1 Avanzi, Benjamin 1 Bacaër, Nicolas 1 Ballestra, Luca Vincenzo 1 Bao, Zhenhua 1 Bargès, Mathieu 1 Becker, Niels G. 1 Beghin, Luisa 1 Bergel, Agnieszka I. 1 Bernackaitė, Emilija 1 Bidari, Subekshya 1 Bieliauskienė, Eugenija 1 Blanchet-Scalliet, Christophette 1 Blaževičius, K. 1 Boutsikas, Michael V. 1 Burgin, Amy M. 1 Cénac, Peggy ...and 189 more Authors all top 5 Cited in 62 Serials 38 Insurance Mathematics & Economics 24 Methodology and Computing in Applied Probability 22 Mathematical Biosciences 17 Journal of Applied Probability 11 Scandinavian Actuarial Journal 6 Journal of Mathematical Biology 6 Journal of Computational and Applied Mathematics 6 Stochastic Processes and their Applications 5 Advances in Applied Probability 5 Journal of Mathematical Analysis and Applications 5 Applied Mathematics and Computation 5 Discrete Dynamics in Nature and Society 5 Stochastic Models 4 Statistics & Probability Letters 4 Probability in the Engineering and Informational Sciences 4 North American Actuarial Journal 3 Physica A 3 Journal of Statistical Planning and Inference 3 Communications in Statistics. Theory and Methods 3 European Journal of Operational Research 3 Acta Mathematica Sinica. English Series 3 Modern Stochastics. Theory and Applications 2 Bulletin of Mathematical Biology 2 Mathematical and Computer Modelling 2 Queueing Systems 2 The Annals of Applied Probability 2 Bernoulli 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Discrete and Continuous Dynamical Systems. Series B 2 ASTIN Bulletin 2 Stochastics 2 Journal of the Korean Statistical Society 1 Computers & Mathematics with Applications 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Scandinavian Journal of Statistics 1 The Annals of Probability 1 The Journal of Mathematical Sociology 1 Journal of Multivariate Analysis 1 Operations Research 1 Scandinavian Actuarial Journal 1 Synthese 1 Probability and Mathematical Statistics 1 Stochastic Analysis and Applications 1 Applied Mathematics Letters 1 Applied Mathematical Modelling 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Theory of Probability and Mathematical Statistics 1 Complexity 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of Shanghai University 1 Nonlinear Analysis. Real World Applications 1 Journal of Dynamical Systems and Geometric Theories 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Statistical Theory and Practice 1 Mathematical Modelling of Natural Phenomena 1 International Journal of Biomathematics 1 Advances in Mathematical Physics 1 Statistics & Risk Modeling 1 Dependence Modeling all top 5 Cited in 25 Fields 148 Probability theory and stochastic processes (60-XX) 135 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 78 Biology and other natural sciences (92-XX) 62 Statistics (62-XX) 10 Numerical analysis (65-XX) 9 Combinatorics (05-XX) 8 Operations research, mathematical programming (90-XX) 7 Field theory and polynomials (12-XX) 5 Ordinary differential equations (34-XX) 4 Special functions (33-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Systems theory; control (93-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) Citations by Year