Recent questions in Inferential Statistics

Inferential StatisticsAnswered question

juniorychichoa70 2022-05-02

I am getting ${f}_{X,Y}(x,y)={f}_{X}(x){f}_{Y}(y)$ even if the correlation coefficient $\rho \ne 0$

Inferential StatisticsAnswered question

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 $a(z)=\sum _{i}{a}_{i}{z}^{-i}$ is greater in absolute value than $b(z)=\sum _{i}{b}_{i}{z}^{-i}$ for any unit norm complex number z?

$\mathrm{\infty}>\sum _{i}|{a}_{i}{|}^{2}\ge \sum _{i}|{b}_{i}{|}^{2}.$

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 $a(z)=\sum _{i}{a}_{i}{z}^{-i}$ is greater in absolute value than $b(z)=\sum _{i}{b}_{i}{z}^{-i}$ for any unit norm complex number z?

Inferential StatisticsAnswered question

gaitaprepeted05u 2022-04-30

Two random variables, X and Y, have the joint density function:

$f(x,y)=\{\begin{array}{ll}2& 0<x\le y<1\\ 0& ioc\end{array}$

Calculate the correlation coefficient between X and Y.

$f(x,y)=\{\begin{array}{ll}2& 0<x\le y<1\\ 0& ioc\end{array}$

Calculate the correlation coefficient between X and Y.

Inferential StatisticsAnswered question

ga2t1a2dan1oj 2022-04-07

We have a situation where we have pairs of points where x=heights of fathers and y=heights of the sons of these fathers. The mean of $X$ is equal to the mean $Y$ and $SD(Y)=SD(X)$, and $0<R<1$. Now I am supposed to show that the expected height of a son whose father is shorter than avg. is also less than average, but by a smaller degree. First off I need help understanding the "regression effect" i.e. "Regression Towards the Mean." If the standard deviations are the same why is this happening?

In simple terms, inferential statistics is an approach where you use measurements from the sample of specific subjects as you conduct an experiment. The purpose is to make an outcome based on generalization regarding the greater population of subjects. You may use equations if there are questions that are related to a particular approach. You can get inferential statistics help as we provide a list of answers with good samples to start with. There are related topics like correlation problems that will help you with financial statistics and the coordination of variables