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  • 1
    Electronic Resource
    Electronic Resource
    Computing least trimmed squares regression with the forward search (1999)
    Springer
    Statistics and computing 9 (1999), S. 251-263 
    Details
    ISSN: 1573-1375
    Keywords: Detection of outliers ; forward search algorithm ; high breakdown point ; least trimmed squares ; regression diagnostics ; stalactite plot
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Least trimmed squares (LTS) provides a parametric family of high breakdown estimators in regression with better asymptotic properties than least median of squares (LMS) estimators. We adapt the forward search algorithm of Atkinson (1994) to LTS and provide methods for determining the amount of data to be trimmed. We examine the efficiency of different trimming proportions by simulation and demonstrate the increasing efficiency of parameter estimation as larger proportions of data are fitted using the LTS criterion. Some standard data examples are analysed. One shows that LTS provides more stable solutions than LMS.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008942604045
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    The stalactite plot for the detection of multivariate outliers (1993)
    Springer
    Statistics and computing 3 (1993), S. 27-35 
    Details
    ISSN: 1573-1375
    Keywords: elemental set ; Mahalanobis distance ; masking ; Monte Carlo testing ; normalized distance ; outliers ; simulation ; stalactite plot
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Detection of multiple outliers in multivariate data using Mahalanobis distances requires robust estimates of the means and covariance of the data. We obtain this by sequential construction of an outlier free subset of the data, starting from a small random subset. The stalactite plot provides a cogent summary of suspected outliers as the subset size increases. The dependence on subset size can be virtually removed by a simulation-based normalization. Combined with probability plots and resampling procedures, the stalactite plot, particularly in its normalized form, leads to identification of multivariate outliers, even in the presence of appreciable masking.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00146951
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    A segmented algorithm for simulated annealing (1992)
    Springer
    Statistics and computing 2 (1992), S. 221-230 
    Details
    ISSN: 1573-1375
    Keywords: D-optimality ; exact design ; generalized simulated annealing ; nonlinear optimization ; renewal process ; segmented algorithm ; simulated annealing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract The properties of a parameterized form of generalized simulated annealing for function minimization are investigated by studying the properties of repeated minimizations from random starting points. This leads to the comparison of distributions of function values and of numbers of function evaluations. Parameter values which yield searches repeatedly terminating close to the global minimum may require unacceptably many function evaluations. If computational resources are a constraint, the total number of function evaluations may be limited. A sensible strategy is then to restart at a random point any search which terminates, until the total allowable number of function evaluations has been exhausted. The response is now the minimum of the function values obtained. This strategy yields a surprisingly stable solution for the parameter values of the simulated annealing algorithm. The algorithm can be further improved by segmentation in which each search is limited to a maximum number of evaluations, perhaps no more than a fifth of the total available. The main tool for interpreting the distributions of function values is the boxplot. The application is to the optimum design of experiments.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01889682
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  • 4
    Electronic Resource
    Electronic Resource
    Methods for experimental design, Jacques L. Goupy, Elsevier, Amsterdam, 1993, ISBN 0-444-89529-9, 465 pp., 325 fl (1994)
    New York, NY : Wiley-Blackwell
    Journal of Chemometrics 8 (1994), S. 293-294 
    Details
    ISSN: 0886-9383
    Keywords: Chemistry ; Analytical Chemistry and Spectroscopy
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cem.1180080408
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  • 5
    Electronic Resource
    Electronic Resource
    Experimental design: A chemometric approach, 2nd edn, Stanley N. Deming and Stephen L. Morgan, Elsevier, Amsterdam, 1993, ISBN 0-444-891 11-0, 453 pp. $177.25, Dfl 310.00 (1994)
    New York, NY : Wiley-Blackwell
    Journal of Chemometrics 8 (1994), S. 446-448 
    Details
    ISSN: 0886-9383
    Keywords: Chemistry ; Analytical Chemistry and Spectroscopy
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cem.1180080610
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Design and optimization in organic synthesis, Rolf Carlson, Elsevier, Amsterdam ISBN 0-444-89201-X, No. of pages: 552, price: 330 f1 (1992) (1992)
    New York, NY : Wiley-Blackwell
    Journal of Chemometrics 6 (1992), S. 284-285 
    Details
    ISSN: 0886-9383
    Keywords: Chemistry ; Analytical Chemistry and Spectroscopy
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cem.1180060508
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    Paper (German National Licenses)
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