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Research Articles and Books (R.-D. Reiss)

1973 On the measurability and consistency of maximum likelihood estimates for unimodal densities. Ann. Statist. 1, 888-901.
1974 On the accuracy of the normal approximation for quantiles. Ann. Probab. 2, 741-744.
1975 Consistency of a certain class of empirical density functions. Metrika 22, 189-203.

The asymptotic normality and asymptotic expansions for the joint distribution of several order statistics. In: Limit Theorems Probab. Theory (Colloq. Math. János Bolyai 11. Keszthely, 1974), ed. P. Révész, 297-340, North Holland, Amsterdam.

On the characterization of Souslin and Borel sets. Proc. Amer. Math. Soc. 53, 530-534.
1976 On minimum distance estimators for unimodal densities. Metrika 23, 7-14.

Asymptotic expansions for sample quantiles. Ann. Probab. 4, 249-258 (1976).

On Wilks' distribution-free confidence intervals for quantile intervals (zusammen mit L. Rüschendorf). JASA 71, 940-944.
1977 Optimum confidence bands for density functions. Studia Sci. Math. Hung. 12, 207-214.
1978 Approximate distribution of the maximum deviation of histograms. Metrika 25, 9-26.

Consistency of minimum contrast estimators in nonstandard cases. Metrika 25, 129-142.
1980 Estimation of quantiles in certain nonparametric models. Ann. Statist. 8, 87-105.
1981 Approximation of product measures with applications to order statistics. Ann. Probab. 9, 335-341.

Uniform approximation to distributions of extreme order statistics. Adv. Appl. Probab. 13, 333-347.

Nonparametric estimation of smooth distribution functions. Scand. J. Statist. 8, 116-119.

Asymptotic independence of distributions of normalized order statistics of the underlying probability measure. J. Multivariate Anal. 11, 386-399.
1982 One-sided test for quantiles in certain nonparametric models. In: Nonparametric Statistical Inference (Colloq. Math. János Bolyai 32, Budapest, 1980), ed. B.V. Gnedenko et al., 759-772, North Holland, Amsterdam.

Consistency of maximum penalized likelihood density estimators based on initial estimators. Statist. Decisions 1, 67-79.
1983 A note on the uniform approximation to distributions of extreme order statistics (zusammen mit W. Kohne). Ann. Inst. Statist. Math. A 35, 343-345.
1984 Sharp rates of convergence of maximum likelihood estimators in non-parametric models. Z. Wahrsch. verw. Gebiete 65, 473-482.

Inequalities for the relative sufficiency between sets of order statistics (zusammen mit M. Falk und M. Weller). In: Statistical Extremes (Nato ASI Meeting, Vimeiro, 1983), ed. J. Tiago de Oliveira, 597-610, Reidel, Dortrecht.
1985 Asymptotic expansions of moments of central order statistics. In: Probab. Statist. Decision Theory, Vol. A (Proc. 4th Pann. Symp., Bad Tatzmannsdorf, 1983), ed. Mogyorodi et al., 293-300, Reidel, Dortrecht.

Approximations to the distributions of ordered distance random variables. Ann. Inst. Statist. Math. A 37, 529-533.
1986 Sharp rates of convergence of minimum distance estimators. Shankya A 48, 59-68.

A new proof of the approximate sufficiency of sparse order statistics. Statist. Probab. Letters 4, 233-235.
1987 Estimating the tail index of a claim size distribution. Blätter der DGVM 18, 21-25.
1988 Independence of order statistics (zusammen mit M. Falk). Ann. Probab. 16, 854-862.

Comparison of location models of Weibull type samples and extreme value processes (zusammen mit A. Janssen). Probab. Th. Rel. Fields 78, 273-292.
1989 Approximate Distributions of Order Statistics. New York: Springer.

Extreme Value Theory. Oberwolfach-Tagung, 1987 (ed. with J. Hüsler). Lecture Notes in Statistics 51. New York: Springer.

Weak convergence of smoothed and non-smoothed bootstrap quantile estimators (zusammen mit M. Falk). Ann. Probab. 17, 362-371.

Maxima of normal random vectors: Between independence and complete dependence (zusammen mit J. Hüsler). Statist. Probab. Letters 7, 283-286.

Extended extreme value models and adaptive estimation of the tail index. In: Extreme Value Theory (Oberwolfach, 1987), ed. J. Hüsler and R.-D. Reiss, Lecture Notes in Statistics 51, 156-165, Springer, New York.

Statistical inference based on large claims via Poisson approximation. Part 1: Poisson random variables. Blätter der DGVM 19, 1-5.

Bootstrapping the distance between smooth bootstrap and sample quantile distribution (zusammen mit M. Falk). Probab. Th. Rel. Fields. 82, 177-186.

Statistical inference based on large claims via Poisson approximation. Part 2: Poisson process approach. Blätter der DGVM 19, 123-128.
1990 Asymptotic independence of marginal point processes of exceedances. Statist. Decisions 8, 153-165.
1992 Bootstrapping conditional curves (zusammen mit M. Falk). In: Bootstrapping and Related Techniques (Trier, 1990), ed. K.-H. Jöckel et al., Lecture Notes in Economics and Mathematical Systems 376, 173-180, Springer, Berlin.

Poisson approximation of empirical processes (zusammen mit M. Falk). Statist. Probab. Letters. 14, 39-48.

Statistical inference of conditional curves: Poisson process approach (zusammen mit M. Falk). Ann. Statist. 20, 779-796.

On conditional distributions of nearest neighbors (zusammen mit E. Kaufmann). J. Multivariate Analysis 42, 67-76.

Tail behavior in Wicksell's corpuscle problem (zusammen mit H. Drees). In: Probability Theory and Applications, eds. J. Galambos and I. Kátai, 205-220. Kluwer, Dortrecht.

Poisson approximation of intermediate empirical point processes (zusammen mit E. Kaufmann). J. Appl. Probab. 29, 825-837.
1993 A Course on Point Processes. New York: Springer.

Strong convergence of multivariate point processes of exceedances (zusammen mit E. Kaufmann). Ann. Inst. Statist. Math. 45, 433-444.

A Hellinger distance bound for the nearest neighbor approach in conditional curve estimation (zusammen mit M. Falk). Statist. Decisions, Suppl. Issue 3, 55-68.
1994 Laws of Small Numbers: Extremes and Rare Events (with M. Falk and J. Hüsler). DMV Seminar Band 23. Basel: Birkhäuser.

XTREMES: Extreme value analysis and robustness (zusammen mit S. Ha{ss}mann und M. Thomas). In: Extreme Value Theory and Applications, eds. J. Galambos et al., 175-187. Kluwer, Dortrecht.

Functional laws of small numbers (zusammen mit M. Falk). In: Extreme Value Theory and Applications, eds. J. Galambos et al., 337-354. Kluwer, Dortrecht.
1995 Approximation rates for multivariate exceedances (zusammen mit E. Kaufmann). J. Statist. Plann. Inference 45, 235-245.
1996 Residual life functionals at great age (zusammen mit H. Drees). Commun. Statist.-Theory Meth. 25, 823-835.

The extremes of a triangular array of normal random variables (zusammen mit T. Hsing und J. Hüsler). Ann. Appl. Probab. 6, 671-686.
1997 Statistical Analysis of Extreme Values (for Insurance, Finance, Hydrology and Other Fields) (with M. Thomas). Birkhäuser, Basel.

Extreme life spans. In: Statistical Analysis of Extreme Values, Study 2, 241-244. Birkhäuser, Basel.
1998 Approximation of the Hill estimator process (zusammen mit E. Kaufmann). Statist. Probab. Letters 39, 347-354.

Extreme environmental data with a trend and a seasonal component (zusammen mit M. Thomas). In: Environmental Engineering and Health Sciences (ed. J.A. Raynal et al.), Proceedings of ISEEHS, Puebla, 41-49, Water Resources Publications, Englewood.
1999 A new class of Bayesian estimators in Paretian excess-of-loss reinsurance (zusammen mit M. Thomas). ASTIN-Bulletin 29, 339-349.
2000 Extreme value analysis (zusammen mit M. Thomas), Kapitel 13, Seiten 353-374, in Härdle, S. Klimko, M. Müller. Xplore Learning Guide, Springer, Berlin.

Exact credibility estimation in certain Pareto models (zusammen mit M. Thomas). In: Heavy Tails 99 (ed. J.P. Nolan and A. Swami), Proceedings of Applications of Heavy Tailed Distributions in Economics, Engineering and Statistics, Washington, CD-ROM, Tails46, TSI Enterprises, Albequerque.

Graphical programming in statistics: the XGPL prototyp (zusammen mit M. Thomas). In: Classification and Information Processing at the Turn of the Millennium, Proc. 23rd Annual Conf. GfKl (Decker, R. and Gaul, W. eds.), 264-271, Springer, Berlin.
2001 Statistical Analysis of Extreme Values (for Insurance, Finance, Hydrology and Other Fields) (with M. Thomas). Birkhäuser, Basel, 2nd revised, extended ed., about 160 new pages.

Long-trend study for ground level ozone data from Mexico City (zusammen mit J.A. Villasenor und H. Vaquera). In: Statistical Analysis of Extreme Values, 2nd ed., Study 1, 353-358. Birkhäuser, Basel.

Estimation of the canonical parameter in a class of peaks-over-threshold models (zusammen mit M. Falk). Statist. Probab. Letters 52, 9-16.
2002 A characterization of the rate of convergence in bivariate extreme value models (zusammen mit M. Falk). Statist. Probab. Letters 59, 341-351.

An upper bound on the binomial process approximation to the exceedance process (zusammen mit E. Kaufmann). Extremes 5, 253-269.

A Pascal based approach towards statistical computing (zusammen mi F. Katritzke, W. Merzenich, M. Thomas. Unpublished manuscript.
2003 Efficient estimation and LAN in canonical bivariate POT models (zusammen mit M. Falk). J. Mult. Analysis 84, 190-207.

Efficient estimation of the canonical dependence parameter (zusammen mit M. Falk), Extremes 6, 61-82.

A characterization of the Marshall-Olkin dependence function and a goodness-of-fit test (zusammen mit M. Falk), Sankhya 65, No. 4, 807-820.
2004 Laws of Small Numbers: Extremes and Rare Events (with M. Falk and J. Hüsler). Birkhäuser, Basel, 2nd revised, extended ed., about 130 new pages.

Statistische Modellierung des Zinsänderungsrisikos, Teil 1: Univariate Verteilungen (zusammen mit A. Wiedemann, A. Drosdzol, M. Thomas). In: Modernes Risikomanagement, 57-70, F. Romeike ed., Wiley-VCH, Weinheim.

Statistische Modellierung des Zinsänderungsrisikos, Teil 2: Multivariate Verteilungen (zusammen mit A. Wiedemann, A. Drosdzol, M. Thomas). In: Modernes Risikomanagement, 71-84, F. Romeike ed., Wiley-VCH, Weinheim.
2005 On Pickands coordinates in arbitrary dimensions (zusammen mit M. Falk), J. Mult. Analysis 92, 426-453.

On the distribution of Pickands coordinates in bivariate EV and GP models (zusammen mit M. Falk), J. Mult. Analysis 93, 267-295.
2007 Statistical Analysis of Extreme Values (for Insurance, Finance, Hydrology and Other Fields) (zusammen mit M. Thomas). Birkhäuser, Basel, 3rd revised, extended ed., about 120 new pages.

Testing the tail-dependence based on the radial component (zusammen mit M. Frick und E. Kaufmann). Extremes 10, 109-128.
2008 An example of real-life data where the Hill estimator is correct (zusammen mit U. Cormann). In: Advances Math. Statist. Modeling, Ciudad Real, ed. R. Minguez et al., 209-216.
2009 Generalizing the Pareto to the log-Pareto family and statistical inference (zusammen mit U. Cormann). Extremes 12, 93-105.

Expansions of multivariate Pickands densities and testing the tail dependence (zusammen mit M. Frick). J. Mult. Analysis 100, 1168-1181.
2010 Limiting distributions of maxima under triangular schemes (zusammen mit M. Frick).  Erscheint in J. Mult. Analysis.

Conditioning exceedances on covariate processes (zusammen mit U. Cormann). Zur Revision in Extremes.

Some notes on extremal discriminant analysis (zusammen mit Manjunath B.G. und M. Frick). Zur Revision in J. Mult. Analysis.

Approximate conditional independence in certain GARCH(1,1) series with applications to value at risk in aggregated series (zusammen mit P. Schupp und U. Cormann). Zur Publikation eingereicht.
 
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