I have two histogram. One has some sort of non-uniform distribution and the other one looks like exponential or similar to some standard distribution. Visually, The second one is smoother and curve fillting is possible. I need to quantify these two histograms to conclude the second one smoother than first one and it may follow some distribution(not necessarily normal).
What are typical parameters we can compare on histograms? I have tested skewness(not significant), kurtosis and ks test(failed).
Thanks
Apply the normal curve on the histograms. Mean and SD are the typical features of a histogram.
You can use the Two-sample Kolmogorov–Smirnov test to compare if the distributions of the two histograms are similar.
Also you can apply the one-sample Kolmogorov–Smirnov test to compare each distribution against some reference distribution (normal, exponential, ...).
maybe just comapring histogram bins would be enough;
Article PERCENTILE BASED HISTOGRAM BIN WIDTH
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