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  • Kernel smoothing  (1)
  • Key words. Capillary-gravity waves, third harmonic resonance, multiple scales, evolution equation.  (1)
  • Nonparametric density estimation  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Estimating densities, quantiles, quantile densities and density quantiles (1992)
    Springer
    Annals of the Institute of Statistical Mathematics 44 (1992), S. 721-727 
    Details
    ISSN: 1572-9052
    Keywords: Kernel smoothing ; reciprocal density ; sparsity function
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract To estimate the quantile density function (the derivative of the quantile function) by kernel means, there are two alternative approaches. One is the derivative of the kernel quantile estimator, the other is essentially the reciprocal of the kernel density estimator. We give ways in which the former method has certain advantages over the latter. Various closely related smoothing issues are also discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00053400
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  • 2
    Electronic Resource
    Electronic Resource
    A nonlinear multiple scales approach to modelling almost third harmonic interfaces (1999)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 50 (1999), S. 47-63 
    Details
    ISSN: 0044-2275
    Keywords: Key words. Capillary-gravity waves, third harmonic resonance, multiple scales, evolution equation.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract. The evolution of third harmonic resonant narrow bandwidth capillary–gravity waves on an interface of two fluids is considered. The method of multiple scales is utilised in order to derive a set of first order coupled nonlinear partial differential equations which model the evolution of the wavepacket. Some solution families are exhibited.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s000330050138
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  • 3
    Electronic Resource
    Electronic Resource
    An ecological example of the application of projection pursuit to compositional data (1991)
    Springer
    Plant ecology 95 (1991), S. 101-107 
    Details
    ISSN: 1573-5052
    Keywords: Continuous proportions ; Nonparametric density estimation ; Multivariate data analysis ; Fens Embayment coastal sand system ; Soil patterns ; Vegetation patterns
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract A modern statistical technique for the exploratory analysis of multivariate data, called projection pursuit, is described. The method consists of the extraction and display of informative one- or two-dimensional projections of the multivariate dataset. Projection pursuit has much scope for application to ecological datasets. The example in this paper concerns element concentrations in soil samples from a coastal embayment on the east coast of Australia. The application attempts to search for patterns in the soils which could be related to vegetation patterns. The compositional nature of the dataset adds a novel element to the methodology.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00045209
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