statistical quantity to estimate the oscillatory behavior of a stream of numbers












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I have a stream of numbers to process in order. I need to estimate the amount of oscillatory behaviour in the stream.



For example,





  • ${-1.5, -0.2, 1.3, 0.0, -1.3, 0.1, 1.6, 0.2, -1.7, -0.1, 1.3}$ has a significant oscillatory behavior


  • ${-1.7, -1.5, -1.3, -0.2, -0.1, 0.0, 0.1, 0.2, 1.3, 1.3, 1.6}$ has almost no oscillatory behavior


The above two samples are permutations of each other. Hence, most of (all of that I am aware of) statistical measures remain the same for the two samples.



I am looking for a statistical quantity which can nicely gauge the oscillatory behaviour of a number stream.



There aren't any more conditions on the requirements. This is for preprocessing a bulk of data for an SVM classifier; hence, as long as the statistical measure estimates it reasonably well, it's good.










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  • $begingroup$
    Maybe look at certain components of the discrete Fourier transform?
    $endgroup$
    – Connor Harris
    Dec 10 '18 at 14:56
















0












$begingroup$


I have a stream of numbers to process in order. I need to estimate the amount of oscillatory behaviour in the stream.



For example,





  • ${-1.5, -0.2, 1.3, 0.0, -1.3, 0.1, 1.6, 0.2, -1.7, -0.1, 1.3}$ has a significant oscillatory behavior


  • ${-1.7, -1.5, -1.3, -0.2, -0.1, 0.0, 0.1, 0.2, 1.3, 1.3, 1.6}$ has almost no oscillatory behavior


The above two samples are permutations of each other. Hence, most of (all of that I am aware of) statistical measures remain the same for the two samples.



I am looking for a statistical quantity which can nicely gauge the oscillatory behaviour of a number stream.



There aren't any more conditions on the requirements. This is for preprocessing a bulk of data for an SVM classifier; hence, as long as the statistical measure estimates it reasonably well, it's good.










share|cite|improve this question









$endgroup$












  • $begingroup$
    Maybe look at certain components of the discrete Fourier transform?
    $endgroup$
    – Connor Harris
    Dec 10 '18 at 14:56














0












0








0


0



$begingroup$


I have a stream of numbers to process in order. I need to estimate the amount of oscillatory behaviour in the stream.



For example,





  • ${-1.5, -0.2, 1.3, 0.0, -1.3, 0.1, 1.6, 0.2, -1.7, -0.1, 1.3}$ has a significant oscillatory behavior


  • ${-1.7, -1.5, -1.3, -0.2, -0.1, 0.0, 0.1, 0.2, 1.3, 1.3, 1.6}$ has almost no oscillatory behavior


The above two samples are permutations of each other. Hence, most of (all of that I am aware of) statistical measures remain the same for the two samples.



I am looking for a statistical quantity which can nicely gauge the oscillatory behaviour of a number stream.



There aren't any more conditions on the requirements. This is for preprocessing a bulk of data for an SVM classifier; hence, as long as the statistical measure estimates it reasonably well, it's good.










share|cite|improve this question









$endgroup$




I have a stream of numbers to process in order. I need to estimate the amount of oscillatory behaviour in the stream.



For example,





  • ${-1.5, -0.2, 1.3, 0.0, -1.3, 0.1, 1.6, 0.2, -1.7, -0.1, 1.3}$ has a significant oscillatory behavior


  • ${-1.7, -1.5, -1.3, -0.2, -0.1, 0.0, 0.1, 0.2, 1.3, 1.3, 1.6}$ has almost no oscillatory behavior


The above two samples are permutations of each other. Hence, most of (all of that I am aware of) statistical measures remain the same for the two samples.



I am looking for a statistical quantity which can nicely gauge the oscillatory behaviour of a number stream.



There aren't any more conditions on the requirements. This is for preprocessing a bulk of data for an SVM classifier; hence, as long as the statistical measure estimates it reasonably well, it's good.







statistics






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share|cite|improve this question











share|cite|improve this question




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asked Dec 10 '18 at 12:39









YashasYashas

172115




172115












  • $begingroup$
    Maybe look at certain components of the discrete Fourier transform?
    $endgroup$
    – Connor Harris
    Dec 10 '18 at 14:56


















  • $begingroup$
    Maybe look at certain components of the discrete Fourier transform?
    $endgroup$
    – Connor Harris
    Dec 10 '18 at 14:56
















$begingroup$
Maybe look at certain components of the discrete Fourier transform?
$endgroup$
– Connor Harris
Dec 10 '18 at 14:56




$begingroup$
Maybe look at certain components of the discrete Fourier transform?
$endgroup$
– Connor Harris
Dec 10 '18 at 14:56










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