Questions tagged [bivariate]
Concerning two random variables
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How do i solve this problem on conditional probability [closed]
Where x~ u(0,4), what is P(X>Y|X<2Y)
I know that X lies between Y at the lower bound and 2Y at the upper bound but i am having trouble trying to figure out P(X<2Y) as none of the examples i ...
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Should one account for the known variance of fixed X when estimating its relationship with random Y?
In Aldrich (2005), and specifically in sections 10 and 11, the author describes the sufficient statistic for the parameter $\beta$ in the simple regression of random $Y$ on fixed $X$, with a bivariate ...
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R implementation of Bivariate Test by Maronna
Does anyone know an R package that implements the Bivariate Test by Maronna and Yohai, 1978?
Or maybe a derivate like the adaption from Potter, 1981 ?
Or a baysian adaption ?
Was not able to find an ...
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Convolution with a pathological distribution
Problem definition
Consider the following random bivariate vector
\begin{equation}
\begin{aligned}
y&=z+v \\
z&\sim p_z(z;c) \\
v&\sim p_v(v)
\end{aligned}
\end{equation}
where $p_z$ ...
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What type of statistical analysis is recommended for examining variations in risk and protective factors across male and female offending groups
I want to understand how risk and protective factors vary across separate male and female offending groups I have classified them into using group-based trajectory modelling (GBTM).
Using GBTM, I ...
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Simulate bivariate bernoulli responses with predefined beta coefficients
I have a specific data matrix with features (mainly categorical). I want to simulate a multivariate bernoulli response, for example bivariate, but with a predefined vector of beta coefficients (most ...
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Estimation of bivariate function with one variable being constricted
Suppose the following classical supervised regression setting,
$$y_{i} = f(x_{i}) + \epsilon_{i}, \quad i=1,\cdots,n,$$
where $\epsilon_{i}$ are i.i.d. zero mean Gaussian noise.
The above regression ...
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U -statistics for bi variate sample problem
Let $(X_1, Y_1), (X_2, Y_2),....,(X_n, Y_n)$ be iid random variables with joint distribution function $F(x, y)$ and $F(x), G(x)$ be the marginal distribution functions of $X_1$ and $Y_1$ respectively. ...
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BIvariate Normal and Conditional Expectation
I am working on a problem where I must show that the conditional distribution of Y given X follows the distribution with mean and variance shown below. In the previous question, we were given that X ...
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How to address endogeneity concerns using a recursive bivariate probit model?
I read a paper that addresses endogeneity concerns related to a binary moderator using recursive bivariate probit models.
Their approach is:
Analyze data using a recursive bivariate probit model.
Get ...
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Expectation and variance of bivariate skew normal distribution
I am fitting a bivariate skew normal distribution to a 2D data through the sn package in R. I get a $2 \times 1$ vector of ...
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Bivariate random variable and transformation
Let $X=(X_1,X_2)$ and $Y=(Y_1,Y_2)$ be non-negative absolutely continuous random vector and if $\phi(X_j)=Y_j$, $j=1,2$, are one-one transformation then $$H[Y;\phi(t_1),\phi(t_2)]=H(X;t_1,t_2)-E[\log ...
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Single or Multiple Bivariate analysis?
For the data structure, we are fitting the multilevel model to the data. Before fitting the model, we are eager to do bivariate analysis so that we can keep those independent variables in the ...
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best strategy to test bivariate data
Here's a revised version of your text:
I have two sets of data: Intensity and Duration. For each set, I possess both observation data and model data, denoted as (I_obs, I_mod) and (D_obs, D_mod) ...
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X and Y are correlated, errors in both X and Y but error variances unknown; How to predict X|Y or Y|X? Deming, bivariate gaussian ellipses, other?
Seeking relationships between two variable, both with random gaussian errors; ratio of error variances is unknown, no correlation of errors in X and Y, but another unknown variable Z (unmeasured) may ...
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