Detecting seasonality in timestamped events












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I have a program that detects events in a large amount of measurement data. When it detects an event, it writes a timestamp. I have thousands of event timestamps. What I wish to do is detect if there is seasonality in the timestamps I have. I am not well versed in the terminology used, but I think seasonality is what I want to find.



Pictures may aid my explanation. If I have a bunch of events on a timeline, as in the figure below, the events all seem to be random but there may be some kind of seasonal component to the events.



Random events with possible seasonality on a timeline



What I wish to do is detect if any of the seemingly random events are following a strict repeating interval. An illustration is given below, where we see that in the seemingly random events above there are some data points that are repeating with a fixed frequency.



Random events with detected seasonality on a timeline



I am not certain what kind of method to apply. I have looked into power spectral density, fourier transform and ARIMA, but I am still in the idea phase.



Properties of the applied method should possibly include:




  1. A quantitative measure of how strict or fixed the intervals are, or how
    certain we can be that we have detected a fixed cycle

  2. The ability to detect seasonality on different timescales (e.g. events occurring multiple times within the same hour or multiple times during a week with a fixed pattern)


What kind of method is applicable here?










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    $begingroup$


    I have a program that detects events in a large amount of measurement data. When it detects an event, it writes a timestamp. I have thousands of event timestamps. What I wish to do is detect if there is seasonality in the timestamps I have. I am not well versed in the terminology used, but I think seasonality is what I want to find.



    Pictures may aid my explanation. If I have a bunch of events on a timeline, as in the figure below, the events all seem to be random but there may be some kind of seasonal component to the events.



    Random events with possible seasonality on a timeline



    What I wish to do is detect if any of the seemingly random events are following a strict repeating interval. An illustration is given below, where we see that in the seemingly random events above there are some data points that are repeating with a fixed frequency.



    Random events with detected seasonality on a timeline



    I am not certain what kind of method to apply. I have looked into power spectral density, fourier transform and ARIMA, but I am still in the idea phase.



    Properties of the applied method should possibly include:




    1. A quantitative measure of how strict or fixed the intervals are, or how
      certain we can be that we have detected a fixed cycle

    2. The ability to detect seasonality on different timescales (e.g. events occurring multiple times within the same hour or multiple times during a week with a fixed pattern)


    What kind of method is applicable here?










    share|improve this question









    New contributor




    Espenol is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







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      $begingroup$


      I have a program that detects events in a large amount of measurement data. When it detects an event, it writes a timestamp. I have thousands of event timestamps. What I wish to do is detect if there is seasonality in the timestamps I have. I am not well versed in the terminology used, but I think seasonality is what I want to find.



      Pictures may aid my explanation. If I have a bunch of events on a timeline, as in the figure below, the events all seem to be random but there may be some kind of seasonal component to the events.



      Random events with possible seasonality on a timeline



      What I wish to do is detect if any of the seemingly random events are following a strict repeating interval. An illustration is given below, where we see that in the seemingly random events above there are some data points that are repeating with a fixed frequency.



      Random events with detected seasonality on a timeline



      I am not certain what kind of method to apply. I have looked into power spectral density, fourier transform and ARIMA, but I am still in the idea phase.



      Properties of the applied method should possibly include:




      1. A quantitative measure of how strict or fixed the intervals are, or how
        certain we can be that we have detected a fixed cycle

      2. The ability to detect seasonality on different timescales (e.g. events occurring multiple times within the same hour or multiple times during a week with a fixed pattern)


      What kind of method is applicable here?










      share|improve this question









      New contributor




      Espenol is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      I have a program that detects events in a large amount of measurement data. When it detects an event, it writes a timestamp. I have thousands of event timestamps. What I wish to do is detect if there is seasonality in the timestamps I have. I am not well versed in the terminology used, but I think seasonality is what I want to find.



      Pictures may aid my explanation. If I have a bunch of events on a timeline, as in the figure below, the events all seem to be random but there may be some kind of seasonal component to the events.



      Random events with possible seasonality on a timeline



      What I wish to do is detect if any of the seemingly random events are following a strict repeating interval. An illustration is given below, where we see that in the seemingly random events above there are some data points that are repeating with a fixed frequency.



      Random events with detected seasonality on a timeline



      I am not certain what kind of method to apply. I have looked into power spectral density, fourier transform and ARIMA, but I am still in the idea phase.



      Properties of the applied method should possibly include:




      1. A quantitative measure of how strict or fixed the intervals are, or how
        certain we can be that we have detected a fixed cycle

      2. The ability to detect seasonality on different timescales (e.g. events occurring multiple times within the same hour or multiple times during a week with a fixed pattern)


      What kind of method is applicable here?







      time-series statistics algorithms






      share|improve this question









      New contributor




      Espenol is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|improve this question









      New contributor




      Espenol is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      edited 2 days ago









      HFulcher

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      asked 2 days ago









      EspenolEspenol

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