I created some plots of x1 and x2 with respect to y. My questions are:
I'm using simple sine and cosine plot as an example below but the plots can be any kind of curves.
In opencv, we can compare histogram and compute the matching using these metrics: Correlation, Chi-Square, Intersection, Bhattacharyya distance (http://docs.opencv.org/doc/tutorials/imgproc/histograms/histogram_comparison/histogram_comparison.html)
You have to come up with some precise definition of "compare analytically/statistically". The term is too vague. If you wan't to compare anything, you need to define some criterions. I.e. maximal value of function in given interval, average area below the graph and so on.
I think, you also don't want to analyze plots but rather the plotted data.