DM  


          Claude Lefèvre




Professeur ordinaire

Département de Mathématique
Probabilités et Modélisation Stochastique



adresse de contact 


Université Libre de Bruxelles
Département de Mathématique
Campus de la Plaine, C.P. 210
B-1050 Bruxelles, Belgium
Bât. NO, 09-112 (9ème)
Tél.  32-2 6505894
Fax.  32-2-6505899
Courriel: clefevre@ulb.ac.be


domaines principaux
de recherche
Probabilités (temps de premier passage; problèmes de caractérisation;
approximations de Poisson; ordres et métriques probabilistes; méthodes
analytiques; polynômes remarquables)
 Actuariat (théorie du risque; probabilité de ruine; comparaisons de risques;
mesures de dépendance entre risques)
Biomathématique (processus de branchement; processus épidémiques;
   dynamique des populations; vaccination) 


domaines d'enseignement
Probabilités (maîtrises en Mathématique, Actuariat et Statistique)
 Statistique (maîtrises en Sciences du Travail)
Biomathématique (maîtrises en Mathématique, Actuariat et Statistique)


éditeur associé pour
les revues
Methodology and Computing in Applied Probability
Communications in Statistics - Theory and Methods
Communications in Statistics - Computation and Simulation


directeur des thèses
de doctorat de
Abdelghani Kissami (juin 1993), "Problèmes d'urnes et processus épidémiques: Modélisation
    et résultats asymptotiques".

 Michel Denuit (décembre 1997), "s-Convex stochastic orderings with applications, and
    Exact probabilities for order statistics and related problems".

M'hamed Mesfioui (décembre 1998), "Approximation de Poisson et Comparaison stochastique
    pour des modèles épidémiques hétérogènes".

Rachid Massaad (mars 2004), "Echangeabilité et Approximation de Poisson dans des
    modèles d’urne".

Maude Gathy (septembre 2010), "On some damage processes in risk and epidemic theories".
Ibrahim Coulibaly (en cours; en théorie du risque)



coauteurs
N.G. Becker (Canberra) - R. Biard (Besançon) - M. Ben Akiva (MIT)
A. Castañer (Barcelone) - M.M. Claramunt (Barcelone) - I. Coulibaly (compagnie) 
F. Daly (Bristol) - A. de Palma (ENS, Cachan) - M. Denuit (Louvain)
J.-J. Droesbeke (ULB) - C. Dutang (Strasbourg) - M. Gathy (compagnie)
M. Hallin (ULB) - J.-F. Ingenbleek (compagnie) - R.J. Kryscio (Kentucky)
S. Loisel (Lyon) - M.-P. Malice (compagnie) - M. Marmol (Barcelone)
G. Michaletzky (Budapest) - X. Milhaud (Toulouse) - M. Mesfioui (Trois-Rivières)
H.N. Nagarajah (Ohio) - V. Papathanasiou (Athènes) - M.L. Puri (Indiana)
P. Picard (Lyon) - M. Scarsini (Rome) - M. Shaked (Arizona)
S. Utev (Nottingham)




publications récentes
. Lefèvre, C. and Loisel, S. (2013), On multiply monotone distributions, continuous
or discrete, with applications, Journal of Applied Probability, to appear.
. Lefèvre, C. and Picard, P. (2013), Ruin probabilities for risk models with ordered
claim arrivals, Methodology and Computing in Applied Probability, to appear.
. Lefèvre, C. and Utev, S. (2013), Convolution property and exponential bounds for
symmetric monotone densities, ESAIM: Probability and Statistics, to appear.
. Castañer, A., Claramunt, M.M., Lefèvre, C., Gathy, M. and Marmol, M. (2013),
Ruin probabilities for a discrete time risk model with non-homogeneous conditions,
Scandinavian Actuarial Journal
 
2, 83-102
. Daly, F., Lefèvre, C. and Utev, S. (2012), Stein's method and stochastic orderings,
Advances in Applied Probability 44, 343-372.
. Lefèvre, C. and Picard, P. (2011), A new look at the homogeneous risk model,
Insurance: Mathematics and Economics  49, 512-519.
. Biard, R., Lefèvre, C., Loisel, S. and Nagaraja, H.N. (2011), Asymptotic finite-time
ruin probabilities for a class of path-dependent heavy-tailed claim amounts using Poisson
spacings, Applied Stochastic Models in Business and Industry 27, 503-518.
. Gathy, M. and Lefèvre, C. (2011), On Markov-Polya distribution and the Katz family
of  distributions, Communications in Statistics: Theory and Methods 40, 267-278.
. Lefèvre, C. and Picard, P. (2011), Polynomial structures in rank statistics distributions,
Journal of Statistical Planning and Inference  141, 1380-1393.
. Lefèvre, C. and Loisel, S. (2010), Stationary-excess operator and convex stochastic orders,
Insurance: Mathematics and Economics  47, 64-75.
. Gathy, M. and Lefèvre, C. (2010), On the Lagrangian Katz family of distributions as a claim
frequency model, Insurance: Mathematics and Economics  47, 76-83.
. Gathy, M. and Lefèvre, C. (2009), From damage models to S-I-R epidemics and cascading 
failures, Advances in Applied Probability 41, 247-269.
. Lefèvre, C. and Loisel, S. (2009), Finite-time ruin probabilities with discrete, possibly dependent,
claim severities, Methodology and Computing in Applied Probability
11, 425-441.
. Biard, R., Lefèvre, C. and Loisel, S. (2008), Impact of correlation crises in risk theory: 
Asymptotics of finite-time ruin probabilities for heavy-tailed claim amounts when some independence 
and stationary assumptions are relaxed, Insurance: Mathematics and Economics  43, 412-421.
. Lefèvre, C. and Coulibaly, I.(2008), On a simple quasi-Monte Carlo approach for classical 
ultimate ruin probabilities, Insurance: Mathematics and Economics 42, 935-942.

. Lefèvre, C. and Loisel, S. (2008), On finite-time ruin probabilities for classical risk models, 
Scandinavian Actuarial Journal 1, 41-60.

. Lefèvre, C. (2008), Ruin probabilities: Computational aspects, Encyclopedia of Quantitative
Risk Assessment and Analysis
(edited by E. Melnick and B
. Everitt), J. Wiley, 1587-1591.

. Lefèvre, C. (2007), First-crossing and ballot-type results for some nonstationary sequences,
Advances in Applied Probability
39, 492-509.
. Lefèvre, C. (2007), Discrete compound Poisson process with curved boundaries: polynomial
structures and recursions, Methodology and Computing in Applied Probability 9, 243-262.
. Becker, N.G.,  Lefèvre, C. and Utev, S. (2007), Estimating protective vaccine efficacy from
large trials with recruitment, Journal of Statistical Planning and Inference 137, 907-914.
. Lefèvre, C. (2006), Stopped compound Poisson process and related distributions", In Advances
in 
Distribution Theory, Order Statistics, and Inference (A volume in honor of B.C. Arnold),
N. Balakrishnan, E. Castillo and J.-M. Sarabia (eds.), Birkhauser, 13-27.
. Lefèvre, C. (2006), On the outcome of a cascading failure model, Probability in the Engineering 
and Informational
Sciences 20, 413-427.
. Lefèvre, C. and Picard, P. (2006), A nonhomogeneous risk model for insurance, Computers
and Mathematics with Applications 
51, 325-334.
. Lefèvre, C. and Picard, P. (2005), Nonstationarity and randomization in the Reed-Frost epidemic
 model, Journal of Applied Probability 42, 1-14.
. Lefèvre, C. (2005), SIR epidemic models, Encyclopedia of Biostatistics (edited by P. Armitage 
and T. Colton), J. Wiley, Volume 7, 4960-4966.
. Denuit, M., Lefèvre, C. and Mesfioui, M. (2004), On spline approximation for bivariate functions
of increasing convex type, Revue d’Analyse Numérique et de Théorie de l’Approximation 32,
145-159.
. Lefèvre, C. and Utev, S. (2003), Exact norms of a Stein-type operator and associated stochastic
orderings, Probability Theory and Related Fields 127, 353-366. 
. Picard, P., Lefèvre, C. and Coulibaly, I. (2003), Multirisks model and finite-time ruin probabilities,
Methodology and Computing in Applied Probability 5, 337-353.
. Picard, P. and Lefèvre, C. (2003), Probabilité de ruine éventuelle dans un modèle de risque à 
temps discret, Journal of Applied Probability 40, 543-556.
. Picard, P., Lefèvre, C. and Coulibaly, I (2003), Problèmes de ruine en théorie du risque à 
temps discret avec horizon fini, Journal of Applied Probability 40, 527-542.
. Picard, P. and Lefèvre, C. (2003), On the first meeting or crossing of two independent trajectories 

    for some counting processes, Stochastic Processes and their Applications 104, 217-242. 

. Denuit, M., Lefèvre, C. and Picard, P.(2003), Polynomial structures in order statistics distributions, 
Journal of Statistical Planning and Inference 113, 151-178.
. Lefèvre, C., Papathanasiou, V.and Utev, S.(2002), Generalized Pearson distributions and related
characterization problems, Annals of the Institute of Statistical Mathematics 54, 731-742.
. Denuit, M., Lefèvre, C. and Utev, S. (2002), Measuring the impact of dependence between 
claims occurrences, Insurance: Mathematics and Economics 30, 1-19.
. Picard, P. and Lefèvre, C. (2001), On the probability of (non)-ruin in infinite time,
Scandinavian Actuarial Journal 2, 148-161.
. Denuit, M. and Lefèvre, C. (2001), Stochastics-(increasing) convexity, in Generalized Convexity 
and Generalized Monotonicity, N. Hadjisavas, J.E. Martinez-Legaz. and J.-P. Penot (eds.), Lecture 
Notes in Economics and Mathematical Systems 502, Springer, 167-182.
. Denuit, M., Lefèvre, C. and Scarsini, M. (2001), On s-convexity and risk aversion,
Theory and Decision 50, 239-248.
. Lefèvre, C. and Utev, S. (2001), Comparison of individual risk models, Insurance: Mathematics
and Economics
28, 21-30.
. Lefèvre, C. and Picard, P. (2001), Busy periods for some queues with deterministic interarrival or
service times, in Probability and Statistical Models with Applications (A volume dedicated to
C. Cacoullos), C. Charalambides,M.V. Koutras and N. Balakrishnan (eds.), Chapman, 169-183.
. Denuit, M., Lefèvre, C. and Shaked, M. (2000), On s-convex approximations,
Advances in Applied Probability 32, 994-1010.
. Denuit, M., Lefèvre, C. and Shaked, M. (2000), Stochastic convexity of the Poisson mixture model,
 Methodology and Computing in Applied Probabilty 2, 231-254.
. Denuit, M., Lefèvre, C. and Shaked, M. (2000), On the theory of high convexity stochastic orders,
Statistics and Probability Letters 47, 287-293.
. Denuit, M., Lefèvre, C. and Mesfioui, M. (1999), On s-convex stochastic extrema for arithmetic
risks, Insurance: Mathematics and Economics 25, 143-155.
. Denuit, M., Lefèvre, C. and Utev, S. (1999), Stochastic orderings of convex/concave type on an
arbitrary grid, Mathematics of Operations Research 24, 835-846.
. Picard, P. and Lefèvre, C. (1999), Corrigendum to "The moments of ruin time in the classical risk
model with discrete claim size distribution", Insurance: Mathematics and Economics 25, 105-107.
. Lefèvre, C. and Utev, S. (1999), Branching approximation for the collective epidemic model, 
Methodology and Computing in Applied Probability 1, 211-228.
. Denuit, M., Lefèvre, C. and Utev, S. (1999), Generalized stochastic convexity and stochastic
orderings of mixtures, Probability in the Engineering and Informational Sciences 13, 275-291..
. Picard, P. and Lefèvre, C. (1999), On the algebraic structure in Markovian processes of death
and epidemic types, Advances in Applied Probability 31, 742-757.
. Lefèvre, C. and Picard, P. (1999), Abel-Gontcharoff pseudopolynomials and the final outcome
of SIR epidemic models (III), Advances in Applied Probability 31, 532-549.
. Denuit, M., De Vylder, E. and Lefèvre, C. (1999), Extremal generators and extremal distributions
for the continuous s-convex stochastic orderings, Insurance: Mathematics and Economics 24,
201-217.
. Denuit, M., Lefèvre, C. and Mesfioui (1999), Stochastic orderings of convex-type for discrete
bivariate risks, Scandinavian Actuarial Journal 1, 32-51.
. Denuit, M., Lefèvre, C. and Mesfioui, M. (1999), A class of bivariate stochastic orderings, 
with applications in actuarial sciences, Insurance: Mathematics and Economics 24, 31-50.
. Picard, P. and Lefèvre, C. (1998), The moments of ruin in the classical risk model with discrete
claim size distribution, Insurance: Mathematics and Economics 23, 157-172.
. Lefèvre, C. and Utev, S. (1998), On order-preserving properties of probability metrics,
Journal of Theoretical Probability 11, 907-920.
. Denuit, M., Lefèvre, C. and Shaked,M. (1198), The s-convex orders among real random  
variables, with applications, Mathematical Inequalities and Applications 1, 585-613.
. Lefèvre, C. and Utev, S. (1997), Mixed Poisson approximation in the collective epidemic
model,  Stochastic Processes and their Applications 69, 217-246.