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  • 1
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    In:  Tectonophys., Warszawa, Pergamon, vol. 167, no. 3, pp. 211-215, pp. B05310, (ISBN: 0-12-018847-3)
    Publication Date: 1989
    Keywords: Earthquake hazard ; Statistical investigations ; Earthquake precursor: statistical anal. of seismicity ; Earthquake precursor: prediction research
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Natural hazards 3 (1990), S. 161-171 
    ISSN: 1573-0840
    Keywords: Hazard assessment ; seismic ; theory of records
    Source: Springer Online Journal Archives 1860-2000
    Topics: Energy, Environment Protection, Nuclear Power Engineering , Geography , Geosciences
    Notes: Abstract This article is a review of some basic results for analysis of records. First, the general methods appropriate for seismic hazard are discussed. Then, in view of the frequency-magnitude law of Gutenberg and Richter, some results relevant for hazard assessment related to earthquakes are presented. The discussion is concluded with an example of application and comparison with classical methods.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical geology 21 (1989), S. 829-842 
    ISSN: 1573-8868
    Keywords: Tail ; extremes ; threshold ; generalized pareto ; wind ; flood
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract A step is described toward better statistical treatment of data for tail estimation. The classical extreme value theory together with its practical inefficiency for tail inference are discussed briefly. The threshold method that utilizes available information in a more efficient manner is described, and its relation to extreme value theory is mentioned. Some comparison is also made using two sets of published data.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical geology 22 (1990), S. 513-521 
    ISSN: 1573-8868
    Keywords: Estimation ; incomplete data files ; seismic hazard ; magnitude-frequency relation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract The problem of incorporating the available seismological information provided by the major events of the historical catalog with those for the short period of instrumental data is investigated. Assuming that the frequency-magnitude law of Gutenberg and Richter is valid for both periods, an estimation procedure for the main parameter of this law and the rate of earthquake occurrence for historical period is presented. Application of the proposed method is demonstrated, using both real and simulated data. An extension to allow for variable quality of complete data with different magnitude values is also included.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical geology 13 (1981), S. 119-133 
    ISSN: 1573-8868
    Keywords: seismic sources ; explosions ; stochastic model ; earthquakes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Stochastic models are derived for two source formulations for explosions. Using this kind of model, a comparison is made between source time functions due to Blake, Haskell, Mueller and Murphy, and Von Seggern and Blandford, for explosions, and between ω-square (Aki, Brune)and ω-cube (Aki, Haskell)models for earthquakes. When seeking a stochastic model for records of Rayleigh waves from atmospheric explosions, the k-model corresponding to Haskell's time function was found to be an appropriate choice.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical geology 24 (1992), S. 161-169 
    ISSN: 1573-8868
    Keywords: stochastic modeling ; deterministic formulation ; ground motion ; physical interpretation ; ω-square
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract In the context of seismology, an example of stochastic modeling on the basis of an established deterministic formulation is presented. The advantages of this approach to modeling over those based solely on statistical fit are discussed. It is demonstrated that the result of applying this procedure is a model whose main parameter has a physical interpretation, and therefore a validation based on criteria other than statistical goodness of fit is also possible. Statistical inference together with some demonstrating examples are also included.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical geology 25 (1993), S. 671-688 
    ISSN: 1573-8868
    Keywords: stationary processes ; periodically correlated processes ; uniformly modulated ; correlation autoregressive processes ; spectrum ; seismic waves
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Stochastic models appropriate for seismic records of earthquakes and underground nuclear explosions are considered and a selective review of the existing models is presented. Special models of stationary processes, periodically correlated processes, and uniformly modulated stationary processes as well as a new class called correlation autoregressive processes are studied. Relevant properties of correlation autoregressive processes are presented. It is shown that the successful models presently used are all subclasses of the correlation autoregressive processes. Shortcomings of the existing nonstationary models and merits of the new class for seismic wave modeling are discussed and directions for the further research and development are suggested. It is hoped that the model and the ideas introduced in this article will provide a stimulation for further examination of correlation autoregressive processes and will promote statistical modeling of seismic records.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Natural hazards 16 (1997), S. 127-134 
    ISSN: 1573-0840
    Keywords: cyclicity of earthquakes ; time series ; periodogram
    Source: Springer Online Journal Archives 1860-2000
    Topics: Energy, Environment Protection, Nuclear Power Engineering , Geography , Geosciences
    Notes: Abstract The periodogram analysis of time intervals between successive earthquakes is used for testing the seismic gap hypothesis. Using the available data, it is shown that the existence of a periodic component can be rejected with high confidence. The test provides evidence against quasi-periodicity and regular clustering of the arrival times.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Natural hazards 1 (1988), S. 227-233 
    ISSN: 1573-0840
    Keywords: Extremes ; excesses ; threshold ; generalized Pareto distribution ; air pollution
    Source: Springer Online Journal Archives 1860-2000
    Topics: Energy, Environment Protection, Nuclear Power Engineering , Geography , Geosciences
    Notes: Abstract A new threshold method is explained in a manner suitable for workers in the general scientific area. Its application to the prediction of extreme pollutant concentrations is described and the results are compared with those of a conventional procedure, using a set of published data. A discussion concerning the difficulties of the presently used statistical technique is also included.
    Type of Medium: Electronic Resource
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  • 10
    Publication Date: 1992-02-01
    Print ISSN: 1874-8961
    Electronic ISSN: 1874-8953
    Topics: Geosciences , Mathematics
    Published by Springer
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