Undergrad Extracting characteristics from time series data

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The discussion focuses on extracting characteristics from a random set of time series data to forecast future behaviors. Key characteristics identified include trend linearity, peak and trough sizes, and duration of values above or below certain thresholds. Participants suggest using techniques like Fourier transform and ARIMA for analysis, highlighting ARIMA's effectiveness in modeling dependencies in time series data. The user reports positive results from implementing these techniques, particularly with ARIMA. Overall, the conversation emphasizes the importance of identifying various characteristics for accurate forecasting.
Richard_Steele
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hi

I have a random set of time series data that is calculated after applying an algorithm to a main random time serie data, and really need to extract all the possible characteristics from the set. The goal is to measure those characteristics and perform some statistical graphs based on those measurements ad try to forecast what are the possible next behaviours of the main set.

At the moment I have observed the next characteristics:
  1. Trend linearity and curvature
  2. Size of peak and trough
  3. Time that the value is over 80 or under 20
  4. etc...
I think there are much more characteristics that can be observed. The problem is I cannot find a list with characteristics.
 

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Thank you very much guys, I have tried the techniques you mentioned and it worked very good, specially the ARIMA.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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