# univariate

1. ### Second derivative test for univariate functions

Hi all, My textbook gives a bad proof for the second derivative test, and to me it's basically intuition instead of understanding it in a slightly more rigorous way. I looked online at http://tutorial.math.lamar.edu/Classes/CalcI/DerivativeAppsProofs.aspx and we already did the mean value...
2. ### Probability convergence with OLS estimators - univariate vs bivariate

Hey guys, this is my first post here. I was hoping you could help point out how I should go about tackling this proof: Let (Y_1, X_1, _1, X_1,_2)...,(Y_n, X_n,_1, X_n,_2) be an i.i.d. sample from (Y, X_1, X_2) satisfying: Y = \beta_0 + \beta_1X_1 + \beta_2X_2 + U where (1, X_1, X_2) is not...
3. ### Hellinger distance between two univariate or multivariate gassian distributions

I am a undergraduate student. My interest in on mathematics. Recently I want to learn about the f-divergences. But I cannot finish the deduction of Hellinger distance between two multivariant gaussian distribution. . Can someone give me some advices or tell me where should I get to the...
4. ### Variance in Univariate Normal

In Univariate Normal, Show Var(x)=\sigma^2
5. ### Proof within Univariate Normal

Show that E(X)=μ<br><br>thats all the information i've been given.<br>I dont know where to start.<br>
6. ### Univariate Transformation and MGFS- can anyone help

im stuck on these questions..... 1. If X is a standard normal random variable, find a) the p.d.f of X^3 b) the p.d.f of (X+1)^2 and...... 2. If Z has a standard normal distribution then using m.g.fs show that the random variable X=2Z + 4 also has a normal distribution, and write down its...
7. ### Univariate Transformation and MGFS- can anyone help

im stuck on these questions..... 1. If X is a standard normal random variable, find a) the p.d.f of X^3 b) the p.d.f of (X+1)^2 and...... 2. If Z has a standard normal distribution then using m.g.fs show that the random variable X=2Z + 4 also has a normal distribution, and write down its...