Curriculum Vitae

• Name: Miguel A. Arcones.

• Citizenship: U.S.A.

• Education:
  • Ph. D. from the Department of Mathematics of the City University of New York, June 1991. Adviser: E. Giné.

  • Graduate student at the City University of New York, 1988-1991.

  • Graduate student at Texas A & M University at College Station, 1987-1988.

  • "Licenciado" in Mathematics at the "Universidad Autónoma de Madrid", Spain, June 1986.

• Extra professional formation:
  • Actuarial Candidate. Passed exams: P/1 and FM/2.

• Postdoctoral Employment:
  • Professor at the Department of Mathematical Sciences of the State University of New York at Binghamton, from September 2006 to the present.

  • Associate Professor at the Department of Mathematical Sciences of the State University of New York at Binghamton, from September 2001 to August 2006.

  • Assistant Professor at the Department of Mathematical Sciences of the State University of New York at Binghamton, September 1998 to August 2001.

  • Instructor at the Department of Mathematics University of Texas at Austin, from September 1995 to June 1998.

  • C. R. Wylie Instructor at the Department of Mathematics of the University of Utah, Salt Lake City, Utah, from September 1992 to June 1995.

  • Postdoctoral Fellow at Mathematical Sciences Research Institute at Berkeley, California, from September 1991 to August 1992.

• Research insterests:
  • Probability Theory: empirical processes, U-processes, Probability in Banach Spaces, limit theorems under dependence conditions, large deviations.

  • Mathematical Statistics: bootstrap, U-statistics, M-estimators, rates of convergence, estimation under order restrictions.

• Awards:
  • The review (by S. Csörgö) of the paper "Limit theorems for nonlinear functionals of a stationary Gaussian sequence of vectors", 1994, Annals of Probability, has appeared as a Featured Review 96c:60025 in the Mathematical Reviews. In the year 1996 only 98 reviews were selected a Featured Reviews.

  • Instructorship Award from the Department of Mathematics, University of Utah, 1994.

  • 2 years (July 1993 to June 1995) NSF grant No. DMS-93-02583.

  • 1 year (September 1991 to August 1992) Postdoctoral Fellowship at Mathematical Sciences Research Institute at Berkeley, California.

• Selected contributed meeting talks:
  • "Minimax estimators of the coverage probability of the impermissible error for a location family". Invited talk to the Fifth International Conference in High Dimensional Probability, at the Centre International de Recontres Mathématiques (C.I.R.M.) in Luminy, France, May 26-30, 2008.

  • "Minimax estimators of the coverage probability of the impermissible error for a location family". Invited talk to the 32-nd SIAM Southeastern-Atlantic Section Conference at Orlando, Florida, March 14-15 2008.

  • "Minimax estimators of the coverage probability of the impermissible error for a location family". Invited talk to the 2007 Joint Statistical Meeting of the ASA/IMS at Salt Lake City, Utah, July 29-August 2, 2007.

  • Large deviations of M-estimators. The IV-th International Conference on High Dimensional Probability, at Santa Fe, New Mexico, June 20-24, 2005.

  • "Confidence regions of fixed volume. A new approach to assess confidence intervals". American Mathematical Society Spring 2005 Eastern Sectional Meeting at Newark, DE, April 2-3, 2005.

  • Large deviation principle of M-estimators. Joint AMS-SMM International Meeting, Houston, TX, May 13-15, 2004.

  • Large deviation principle of maximum likelihood estimators. American Mathematical Society, Fall 2003 Eastern Sectional Meeting, Binghamton, NY, October 11-12, 2003.

  • Integrability of the iterated Brownian motion. Contributed Talk in the meeting: "Stochastic Inequalities and their Applications. A EuroConference". Autonomous University of Barcelona, Spain. June 17-21, 2002.

  • Distributional limits theorems under long range dependence. Instructional Workshop on Empirical Process Techniques for Dependent Data. University of Copenhagen. Copenhagen, Denmark. November 21-24, 2000.

  • Distributional limit theorems under long range dependence conditions. Contributed talk in the 926-th Meeting of the AMS, Georgia Tech. Atlanta, October 17-19, 1997.

  • On the weak convergence of triangular arrays of empirical processes. Contributed talk in the meeting: Empirical Processes: Theory and Applications. October 22-28, 1995. Oberwolfach, Germany.

  • A distributional limit theorem for processes indexed by smooth functions. 57th Annual Meeting of the Institute of Mathematical Statistics. University of North Carolina, Chapel Hill, June 21, 1994.

  • On the LIL for empirical processes of dependent random variables. The 9th Conference in Probability in Banach Spaces, Sandbjerg, Denmark, August 16-21, 1993.

  • A C.L.T. for non-linear functionals of a Gaussian sequence in the multivariate case. Contributed paper in the 2nd Institute of Mathematical Statistics International Symposium: Probability & Applications. March, 1993. Bloomington, Indiana.

  • Limits of canonical U-processes. Workshop in Multiple Ito-Wiener integrals. CIMAT, Guanajuato, Mexico, July 1992.

  • The bootstrap of U-processes indexed by VC classes. The 8th Conference in Probability in Banach Spaces, Bowdoin, Maine. July 1991.

• Membership in Profesional Organizations:
  • Fellow of the Institute of Mathematical Statistics since July, 2008.

  • Elected member of the International Statistical Institute on 2005.

  • Regular member of the American Statistical Association and American Mathematical Society.

• Ph. D. Students:
  • Yishi Wang. Spring, 2006. Thesis: Some New Tests for Normality.

• Professional Service:
  • Editor for the International Journal of Statistics and Management Systems from 2006- .

  • Associate Editor for the Journal of the American Statistical Association, Theory & Methods from 2002-2007.

  • Associate Editor for the Far East Journal of Theoretical Statistics from 2004- .

  • Associate Editor for the International Journal of Statistics and Systems from 2004-.

  • Referee for several journals.

  • Reviews for the Mathematical Reviews.

  • Co-organizer of the American Mathematical Society, Fall Eastern Sectional Meeting, Binghamton, NY, October 11-12, 2003

• Computer skills: Linux, Microsoft Windows, LaTex, Minitab, Splus, R, HTML.

• Languages: English, Spanish.