HALL, PETER / Mathématiques / Chercheurs

Centre International de Recherche Scientifique


Mathématiques / HALL, PETER



Professor of Statistics, Mathematical Science Institute, The Australian National University, Canberra, Australia.

Thèmes de recherche

His work covers a wide range of topics in both probability theory and statistic. In probability he has contributed significantly to limit theory and to geometric problems. In statistics his work has focused on developing theory and methodology for non-parametric methods, in particular for curve estimation and resampling.

Prix et récompenses

2001 : H. O. Hartley Lectures Texas (A&M University)
2001 : Stephen Corcoran Lectures (Oxford University)
2000-2002 : Centennial Professorship (London School of Economics)
2000 : Fellow Royal Society of London
1999-2003 : President-Elect and President Bernoulli Society for Mathematical Statistics and Probability
1999 : Outstanding Science and Technology Honor (National Science Council)
1998 : Invited Lecture International Congress of Mathematicians
1997 : Aisenstadt Chair (Université de Montréal)
1996 : Fellow American (Statistical Association)
1996 : Theory and Methods Invited Paper Journal of the American Statistical Association
1996 : Kolmogorov Lecture (Bernoulli Society)
1995 : Hannan Medal (Australian Academy of Science)
1993 : Pitcher Lectures in Mathematics (Lehigh University)
1992 : Special Investigator Award (Australian Research Council)
1992 : Mahalanobis Memorial Lectures (Indian Statistical Insitute)
1990 : Honorary Fellow (Royal Statistical Society)
1990 : Pitman Medal (Statistical Society of Australia)
1989 : Committee of Presidents of Statistical Societies Award
1989 : Lyle Medal (Australian Academy of Science)
1988 : S. S. Wilks Lecture (Princeton University)
1988 : G. W. Snedecor Lecture (Iowa State University)
1988 : Knibbs Lecture (Statistical Society of Australia)
1988 : Personal Chair in Statistics (Australian National University)
1987 : Special Invited Paper (Institute of Mathematical Sciences)
1987 : Edgeworth David Medal (Royal Society of New South Wales)
1987 : Fellow (Australian Academy of Science)
1986 : Australian Mathematical Society Medal (Australian Mathematical Society)
1986 : Belz Lecture (Statistical Society of America)
1986 : Rollo Davidson Prize (University of Cambridge)
1984 : Fellowship (Institute of Mathematical Sciences)
1974-1976 : Senior Hulme Scholarship (Brasenose College)
1974 : University Medal (University of Sydney)
1974 : CSIRO Postgraduate Studentship


Cross-validation for choosing resolution level for nonlinear wavelet curve estimators. (With S. Penev.) Bernoulli 7, 317-342. (2002).

Prediction and nonparametric estimation for time series with heavy tails. (With L. Peng and Q. Yao.) J. Time Series Anal., to appear. (2002).

Nonparametric kernel regression subject to monotonicity constraints. (With L.-S. Huang.) Ann. Statist., to appear. (2002).

Data sharpening for nonparametric inference subject to constraints. (With J. Braun.) J. Computat. Graph. Statist., to appear. (2002).

Estimating and depicting the structure of a distribution of random functions. (With N. Heckman.) Biometrika, to appear. (2002).

Permutation tests for equality of distributions in high-dimensional settings. (With N. Tajvidi.) Biometrika, to appear. (2002).

Effect of extrapolation on coverage accuracy of prediction intervals computed from Pareto-type data. (With L. Peng and N. Tajvidi.) Ann. Statist., to appear. (2002).

On local polynomial smoothers and their competitors. (With B. Turlach.) In: I. Proenca and Z. Mendes (eds), Mathematics Applied to Economics and Management, 5(th) conference CEMAPRE, Instituto Superior de Economia e Gestao, pp. 69-87. (2002).

Near neighbour estimator. Encyclopedia of Statistical Sciences. pp. 167-169. Wiley, New York. (2002).

Bootstrapping nonparametric density estimators with empirically-chosen bandwidths. (With K.-H. Kang.) Ann. Statist. 29 (2001), (no pagination).

Nonparametric estimation of hazard rate under the constraint of monotonicity. (With J. A. Gifford, I. Gijbels and L.-S. Huang.) J. Computat. Graph. Statist. 10 (2001), 592-614.

The smoothed median and the bootstrap. (With B. M. Brown and G. A. Young.) Biometrika 88 (2001), 519-534.

A new method of solving noisy Abel-type equations. (With F. Ruymgaart and J. Garza.) J. Math. Anal. Applications 257 (2001), 403-419.

A diagnostic for selecting the threshold in extreme value analysis. (With A. Guillou.) J. Roy. Stat. Soc. Ser. B 63 (2001), 293-305.

Improving coverage accuracy of nonparametric prediction intervals. (With A. Rieck.) J. Roy. Statist. Soc. Ser. B 63 (2001), 717-726.

Biometrika centenary: Nonparametrics. Biometrika 88 (2001), 143-166.

Functional data-analytic approach to signal discrimination. (With D. S. Poskitt and B. Presnell.) Technometrics 43 (2001), 1-9.

On the calibration of Silverman's test for multimodality. (With M. York.) Statistica Sinica 11 (2001), 515-536.

Local-likelihood tracking of fault lines and boundaries. (With L. Peng and C. Rau.) J. Roy. Stat. Soc. Ser. B 63 (2001), 569-582.

Skewing-methods for two-parameter locally-parametric density estimation. (With M.-Y. Cheng, E. Choi and J. Fan.) Bernoulli 6 (2000), 169-182.

Semiparametric bootstrap approach to hypothesis tests and confidence intervals for the Hurst coefficient. (With W. Hardle, T. Kleinow and P. Schmidt). Statist. Inf. Stoch. Processes 3 (2000), 263-276.

Reducing variability using bootstrap methods with qualitative constraints. (With A. Azzalini.) Biometrika 87 (2000), 895-906.

On the estimation of poles in intensity functions. (With E. Choi.) Biometrika 87 (2000), 251-263.

Rendering parametric procedures more robust by empirically tilting the model. (With E. Choi and B. Presnell.) Biometrika 87 (2000) 453-465.

Bootstrap confidence regions computed from autoregressions of arbitrary order. (With E. Choi.) J. R. Stat. Soc. Ser. B 62 (2000), 461-477.

Data sharpening methods for bias estimation in nonparametric regression. (With E. Choi and V. Rousson.) Ann. Statist. 28 (2000), 1339-1355.

Methods for density estimation in thick-slice versions of Wicksell's problem. (With A. Feuerverger.) J. Amer. Statist. Assoc. 95 (2000), 535-546.

Tests for monotonicity of a regression mean with guaranteed level. (With I. Gijbels, M. C. Jones and I. Koch.) Biometrika 87 (2000), 663-673.

Distribution and dependence-function estimation for bivariate extreme-value distributions. (With N. Tajvidi.) Bernoulli 6 (2000), 835-844.

Tracking a smooth fault line in a response surface. (With Christian Rau.) Ann. Statist. 28 (2000), 713-733.

Testing for monotonicity of a regression mean by calibrating for linear functions. (With N. E. Heckman.) Ann. Statist. 28 (2000), 20-39.

Nonparametric estimation of a periodic function. (With J. D. Reimann and J. Rice.) Biometrika 87 (2000), 545-557.

A weighted-bootstrap approach to bootstrap iteration. (With Y. Maesono.) J. Roy. Stat. Soc. Ser. B 62 (2000), 137-144.

Importance of interpolation when constructing double bootstrap confidence intervals. (With S. M.-S. Lee and A. Young.) J. Roy. Statist. Soc. Ser. B 62 (2000), 479-491.

Nonparametric analysis of temporal trend when fitting parametric models to extreme-value data. (With N. Tajvidi.) Statist. Sci. 15 (2000), 153-167.

Reducing bias without prejudicing sign. (With B. Presnell and B. Turlach.) Ann. Inst. Statist. Math. 52 (2000), 507-518.

Adaptation to high spatial inhomogeneity using wavelet methods. (With J. Fan, M. Martin and P. Patil.) Statistica Sinica 9 (1999), 85-102.

Inverting noisy integral equations using wavelet expansions: a class of irregular convolutions. (With F. Ruymgaart, O. van Gaans and A. van Rooij.) In: State of the Art in Probability and Statistics (Leiden, 1999), 533-546. IMS Lecture Notes Monograph Series, 36 (2001), Institute of Mathematical Statistics, Beachwood, OH.

Nonparametric analysis of earthquake point-process data. (With E. Choi.) In: State of the Art in Probability and Statistics (Leiden, 1999), 324-344. IMS Lecture Notes Monograph Series, 36 (2001), Institute of Mathematical Statistics, Beachwood, OH, 2001.

High-derivative parametric enhancements of nonparametric curve estimators. (With M. Y. Cheng and B. A. Turlach.) Biometrika 86 (1999), 417-428.

Mode testing in difficult cases. (With M.-Y. Cheng.) Ann. Statist. 27 (1999), 1294-1315.

Nonparametric density estimation under unimodality and monotonicity constraints. (With M. Y. Cheng and T. Gasser.) J. Computat. Graph. Statist. 8 (1999), 1-21.

Data sharpening as a prelude to density estimation. (With E. Choi.) Biometrika 86 (1999), 941-947.

A nonparametric approach to analysis of space-time data on earthquake occurrences. J. Computat. Graph. Statist. 8 (1999), 733-748.

Fractal analysis of surface roughness by using spatial data (with discussion). (With S. Davies.) J. Roy. Statist. Soc. Ser. B 61 (1999), 3-38.

Estimating a tail exponent by modelling departure from a Pareto distribution. (With A. Feuerverger.) Ann. Statist. 27 (1999), 760-781.

On the estimation of jump points in smooth curves. (With I. Gijbels and A. Kneip) Ann. Inst. Statist. Math. 51 (1999), 231-251.

On the minimax optimality of block thresholded wavelet estimators (With G. Kerkyacharian and D. Picard.) Statistica Sinica 9 (1999), 33-49.

Intentionally biased bootstrap methods. (With B. Presnell.) J. Roy. Statist. Soc. Ser. B 61 (1999), 143-158.

Biased bootstrap methods for reducing the effects of contamination. (With Brett Presnell.) J. Roy. Statist. Soc. 61 (1999), 661-680.

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