I am trying to calculate the variance and standard deviation of an unevenly spaced continuous time series. Example data:
Time Value 0 0 1000 1 2000 2 3000 3 5000 4
Time is the duration since the start of the time series. Duration between points is not guaranteed to be uniform.
Values are continuous, e.g. the temperature measured throughout a day.
The arithmetic mean is weighted by
Time, resulting in a mean for this example data being
How do I calculate the variance and standard deviation of
Value in a continuous unevenly spaced time series?