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Overlap between two normal pdfs [duplicate]

I have two normally distributed random variables (estimated from two different sets of samples), and I'd like to know how "similar" those variables are (in order to compare the sets). I had the idea ...
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How to compute the normalized overlap area between two curves [duplicate]

I am trying to calculate the overlap area (normalized by the total area) of two plots. The plots are from X Y datasets. I saw a lot of questions about getting the overlap area but from normal ...
19k views

How to test hypothesis of no group differences?

Imagine you have a study with two groups (e.g., males and females) looking at a numeric dependent variable (e.g., intelligence test scores) and you have the hypothesis that there are no group ...
9k views

How to calculate overlap between empirical probability densities?

I'm looking for a method to calculate the area of overlap between two kernel density estimates in R, as a measure of similarity between two samples. To clarify, in the following example, I would need ...
15k views

Calculate probability (area) under the overlapping area of two normal distributions

I have two normal distributions defined by their averages and standard deviations. Sample 1: Mean=5.28; SD=0.91 Sample 2: Mean=8.45; SD=1.36 You can see how they look like in the next image: How ...
2k views

Probability of collision (two bivariate normal distributions)

I am trying to solve this problem on and off for the past couple of months but to no success. This was supposed to be a very small part of my PhD thesis in navigation but I guess I underestimated the ...
5k views

Get overlap between two normally distributed variables

I have three variables ($X_G$,$X_B$, and $X_R$), each of which is normally distributed. Is there a way to show the overlap between each of the pairs using the mean and the standard deviation? An ...
1k views

coefficient of overlapping (OVL) for two distributions

I would like to calculate the overlap between two distributions for which I have samples but not the PDF. If I had the PDF of my two variables f and g, then the OVL would be $∫min(f(x),g(x))dx$. ...
568 views

How to characterize the distribution of the intersection of 2 bivariate normals

I have two 2-dimensional Gaussian distributions:  D_1 := \mu_1=\pmatrix{x \cr y}, \quad \Sigma = \pmatrix{{\rm var}(x) &{\rm cov}(xy) \cr {\rm cov}(yx) &{\rm var}(y)} \\ D_2 := \mu_2=\...
289 views

How do I calculate the Jaccard distance for normal distributions?

I'm trying to replicate the results in this paper. I'm stuck at this part: specifically, calculate Jaccard intersection of pdata1 & pdata2 Is there some neat ...