# Questions tagged [bivariate]

Concerning two random variables

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### Multivariate Analysis and AOR

Hello All, I understand how we can calculate the Bivariate analyses using the table 3 in table 4. But can anyone please help me understand how to calculate Multivariate analyses using AOR. Are there ...
1 vote
87 views

### Does an R-based implementation of Fasano and Franceschini's (1987) 2D Kolmogorov-Smirnov test exist? [closed]

First I would like to recognize that similar versions of this question have been asked before, however these either did not pertain to Fasano and Franceschini's (1987) modification of the 2D KS test ...
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### Let X,Y be bivariate normal , what is E[X|Z] where Z = X + Y? [duplicate]

I am trying to understand how does expectation and variance looks when Let X,Y be bivariate normal I want understand E[X|Z] and Var[X|Z] when Z = X + Y
• 131
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### What's the distribution of the euclidean distance between a fixed point a bivariate normal distribution?

I have a problem where I'm interested in the distance between a fixed point and a bivariate normal distribution (where the two random variables are correlated). How does one find the distribution of ...
1 vote
147 views

### Correlation between nominal and ordinal variables [duplicate]

In my survey data I have two variables: One is an ordinal variable with 5-scale scoring from Agree to Disagree. My second variable is an nominal variable where the participants had to choose from 7 ...
• 11
1 vote
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### Find skewness and kurtosis of a bivariate scatterplot

I was reading this paper in the medical field which proposes a method using two radiological parameters in order to distinguish benign and malignant lesions. In their paper the Authors show this plot ...
• 473
1 vote
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### Joint entropy of a bivariate Gamma probability density function

In Nadarajah and Kotz, 2009 (https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-39/issue-1/Four-Bivariate-Distributions-with-Gamma-Type-Marginals/10.1216/RMJ-2009-39-1-231....
53 views

### Covariance in Robot Pose from Covariance in Line Segments

The solution to this might be completely obvious, so I apologize beforehand. The purpose of this question is for me to get better intuition on how to use covariance matrices of correlated variables in ...
• 121
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### Proving that a random vector is not bivariate normal

Suppose X,Y are random variables and their joint pdf is given by: f(x,y)=2g(x)g(y) where x*y>0, and zero otherwise. g(x) and g(y) are pdfs of standard normal distribution. I was first able to prove ...
• 11
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### How to find the variance(s) of a bivariate normal density such that 95% of the mass is within a certain radius from the mean defined by a point A?

I would like to find the variance of a bivariate normal density (BND), centered at the mean M, such that 95% of its mass is within a certain radius, which depends on the position of a point, A. (Note: ...
• 290
832 views

### EM algorithm for MLE from a bivariate normal sample with missing data: Stuck on M-step

I'm trying to understand applying the EM algorithm to compute the MLE in a missing data problem. Specifically, suppose $(x_1,y_1),\ldots,(x_n,y_n)$ is a random sample from the bivariate normal ...
• 265
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### Mean of uniform two-dimensional probability density function

I am trying to calculate the mean of a two-dimensional probability density function, which looks like: and is defined by I know that I can calculate this by However, this is where I get stuck, as I ...
• 101
363 views

### Linear least-square fitting of two variables with uncertainty on both

I am trying to find an R function to calculate the linear least-square fitting of two variables when both have an error (expressed as standard deviation). I have found this problem referred to in half ...
• 91
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### "Information" Correlation

(Let $X$ and $Y$ be random variables, sufficiently nice for my question to make sense.) $$\text{Correlation}$$ $$\rho(X, Y) = \dfrac{\text{cov}(X, Y)}{\sqrt{\text{var}(X)}\sqrt{\text{var}(Y)}}$$ ...
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