query: Do characteristic functions characterize the independence of random variables? [Solved]
positive_passages.docid: 39378
positive_passages.text: Moment generating functions/ Characteristic functions of $X,Y$ factor implies $X,Y$ independent.
negative_passages.docid: 117907
negative_passages.text: A question regarding independence of $\min{\{X,Y\}}$ and $X-Y$ when $X,Y$ follows iid geometric distribution
negative_passages.docid: 29583
negative_passages.text: Characterization of the trace function
negative_passages.docid: 135641
negative_passages.text: Algebraic independence of exponentials
negative_passages.docid: 89186
negative_passages.text: Showing that $\frac{X_{(i)}}{X_{(n)}},i=1,2,...,n-1$ and $X_{(n)}$ are independent for a population with df $F(y)=y^{\theta}$
negative_passages.docid: 30824
negative_passages.text: Pairwise independence of Random variables does not imply indendence
negative_passages.docid: 145294
negative_passages.text: Independence of linear combination of multivariate distribution
negative_passages.docid: 48270
negative_passages.text: How to prove that the random variables $X$ and $X^2$ are not independent?
negative_passages.docid: 7207
negative_passages.text: Statistics: sequences of independent and identically distributed random variables
negative_passages.docid: 45220
negative_passages.text: Proving the sum of two independent Cauchy Random Variables is Cauchy
negative_passages.docid: 68137
negative_passages.text: Independence and conditional independence between random variables
negative_passages.docid: 30665
negative_passages.text: Elegant proofs that similar matrices have the same characteristic polynomial?
negative_passages.docid: 131026
negative_passages.text: Covariance and independence?
negative_passages.docid: 156092
negative_passages.text: Existence of independent and identically distributed random variables.
negative_passages.docid: 9665
negative_passages.text: Proof of the independence of the sample mean and sample variance
negative_passages.docid: 152495
negative_passages.text: Prove that if $X$ and $Y$ are Normal and independent random variables, $X+Y$ and $X-Y$ are independent
negative_passages.docid: 108560
negative_passages.text: Proof of a Gaussian Integral property