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Below are the images of two signals that i plotted. Both the signals are from fridge belonging to different houses. Visually looking at the plot i can tell that these plots belong to fridge as they look very similar. But is there a way i can statistically compare the two graphs for similarity using the time series plot ?enter image description here

enter image description here

Thanks

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The first thing to do is to look at the normalized cross-correlation. It is very widely used time-series similarity metric. In R use ccf() function.

If cross-correlation for some reason will appear unappropriate you can try other similarity metrics like mutual information (look at its Normalized variants) - this may catch nonlinear dependencies.

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