show normality with non-linear transformation
822
Given that $X,Y$ are independent $N(0,1)$ , show that $\frac{XY}{\sqrt{X^2+Y^2}},\frac{X^2-Y^2}{2\sqrt{X^2+Y^2}}$ are independent $N(0,\frac{1}{4})$
117810
Transform Data to Desired Mean and Standard Deviation
10405
How to tell the difference between linear and non-linear regression models?
38104
How to test the effect of a grouping variable with a non-linear model?
105308
Z is a non-linear transform of X. I know the distribution of Z. Is it possible to sample from X?
92281
Normal Operator that is not Self-Adjoint
34931
How to understand "nonlinear" as in "nonlinear dimensionality reduction"?
41860
Linear Transformation and Matrices
153314
Multiple Regression, Normal distribution and Normalization
77204
Least squares invariant under transformation?
54706
Testing symmetry of a distribution around its mean
28578
How do I test a nonlinear association?
12802
Proof of correctness of normal equation
39699
Solving a system of non-linear equations and obtaining a phase portrait
124614
Plotting separatrices for nonlinear system
110641
Non-linear curve fitting with gnuplot
91025
How should I transform non-negative data including zeros?