Identifying distributions in time series

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SUMMARY

This discussion focuses on identifying the distribution of values in a time series, specifically addressing the Gaussian distribution. Frank emphasizes that the problem is fundamentally statistical rather than probabilistic. To determine the distribution, one must establish an interval structure and count the occurrences of events within those intervals. This method provides a foundational approach to analyzing time series data.

PREREQUISITES
  • Understanding of time series analysis
  • Familiarity with statistical concepts and terminology
  • Knowledge of Gaussian distribution properties
  • Experience with interval structures in data analysis
NEXT STEPS
  • Research methods for establishing interval structures in time series data
  • Learn about statistical tests for normality, such as the Shapiro-Wilk test
  • Explore techniques for transforming data to achieve Gaussian distribution
  • Investigate software tools for time series analysis, such as R or Python's statsmodels
USEFUL FOR

Data analysts, statisticians, and researchers working with time series data who need to identify and validate the underlying distributions of their datasets.

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Given a time series Yt, how can you decide what distribution the values obey, if any? In particular, is there a way to make sure the time series obeys a Gaussian distribution?

Thanks,

Frank
 
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Essentially you have a statistics question, not a probability question. In other words, without any other information, all you can do is set up some sort of interval structure and count how many events fall into each interval.
 

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