 # Understanding Inferential Statistics through Examples

Recent questions in Inferential Statistics juniorychichoa70 2022-05-02

## I am getting ${f}_{X,Y}\left(x,y\right)={f}_{X}\left(x\right){f}_{Y}\left(y\right)$ even if the correlation coefficient $\rho \ne 0$ znacimavjo 2022-05-01

## Suppose you have two sequences of complex numbers ${a}_{i}$ and ${b}_{i}$ indexed over the integer numbers such that they are convergent in ${l}^{2}$ norm and a has norm greater than b in the sense$\mathrm{\infty }>\sum _{i}|{a}_{i}{|}^{2}\ge \sum _{i}|{b}_{i}{|}^{2}.$Suppose moreover they are uncorrelated over any time delay, meaning$\sum _{i}{a}_{i}\overline{{b}_{i-n}}=0\phantom{\rule{1em}{0ex}}\mathrm{\forall }n\in \mathbb{Z}.$Is it true that the polinomial $a\left(z\right)=\sum _{i}{a}_{i}{z}^{-i}$ is greater in absolute value than $b\left(z\right)=\sum _{i}{b}_{i}{z}^{-i}$ for any unit norm complex number z? gaitaprepeted05u 2022-04-30
## Two random variables, X and Y, have the joint density function:$f\left(x,y\right)=\left\{\begin{array}{ll}2& 0Calculate the correlation coefficient between X and Y. ga2t1a2dan1oj 2022-04-07