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The paper describes the proper interpretation of the fiducial argument, as given by Fisher in (only) his first papers on the subject. It argues that far from being a quaint, little, isolated idea, this was the first attempt to build a bridge between aleatory probabilities (the only ones used by Neyman) and epistemic probabilities (the only ones used by… (More)

- C G E Boender, R J Caron, J F Mcdonald, A H G Rinnooy Kan, H E Romeijn, R L Smith +8 others
- 1998

(1991), `Shake-and-bake algorithms for generating uniform points on the boundary

- Frank Hampel
- 2000

A limited but basic problem in the foundations of statistics is the following: Given a para-metric model, given perhaps some observations from the model, but given no prior information about the parameters (" total ignorance "), what can we say about the occurrence of a specified event A under this model in the future (prediction problem)? Or, as… (More)

- Frank Hampel
- 1997

By means of several historical examples, it is shown that it does not appear to be easy to build bridges between rigorous mathematics and reasonable data{analytic procedures for scientiic measurements. After mentioning of both some positive and some negative aspects of statistics, a formal framework for statistics is presented which contains the concept… (More)

The background of the paper is the empirical fact that the fundamental assumption of independence in statistics is generally false and has to be replaced by long-range dependence. Since this is far from generally known, some evidence of it is reviewed. It can easily be seen that long-range dependence has disastrous eeects on the naive statistical treatment… (More)

A smoothing principle for M-estimators is proposed. The smoothing depends on the sample size so that the resulting smoothed M-estimator coincides with the initial M-estimator when n → ∞. The smoothing principle is motivated by an analysis of the requirements in the proof of the Cramér-Rao bound. The principle can be applied to every M-estimator. A… (More)

- Frank Hampel
- 2002

The paper contains some general remarks on the high art of data analysis, some philosophical thoughts about classification, a partial review of outliers and robustness from the point of view of applications, including a discussion of the problem of model choice, and a review of several aspects of robust estimation of covariance matrices, including the… (More)

- Frank Hampel
- 1995

About 25 years ago, Peter Bickel, Peter Huber and the author were invited to join John Tukey and spend the academic year 1970/71 at Princeton University in order to make a cooperative eeort for progress in robust statistics. What later was called the \Princeton robustness year," became widely known for its big Monte Carlo study of \robust location estimates… (More)

- F R Hampel, E M Ronchetti, P J Rousseeuw, W A Stahel, K Pahlavan, J Eklundh +15 others
- 2007