# Independence of time series data

I have a time series data with $52$ observations and I would like to check for the independence between observations. The ACF for correlation and covariance of my data look

I am aware that $covariance = 0$ does not imply independence, except for Gaussian process. I wonder if I can use ACF to show the independence of my data or there are ways to justify it?

Many thanks.

• I think you can use the Ljung-Box test. – V. Vancak Dec 3 '15 at 11:27