Tagged Questions

0
votes
2answers
42 views

Test of hypothesis

Can you help for solving this question.What ı will use to solve this problem.I try to do something but ı thınk not correct.ı have an exam please help me
1
vote
0answers
23 views

What is the probability that we get more than $\frac{n}{2} + 2\sqrt{nln(n)}$ heads? [duplicate]

Toss $n$ coins. What is the probability that we get more than $\frac{n}{2} + 2\sqrt{n[\ln(n)]}$ heads? How do I apply Chernoff Bounds to this? I really need help understanding Chernoff Bounds.
0
votes
0answers
28 views

What is a topic I could easily collect data on that follows a poisson distribution?

So I have a project for my stat class and we have to form a hypothesis or question that I can do probabilistic modeling on. I really want to do a topic similar to a poisson distribution but I'm a ...
2
votes
0answers
76 views

Sufficient Statistic for a Geometric R.V.

I have a problem that I know I am very close to the solution for, but I think I just need some more formatting to make it a really clean proof. The problem goes like this: Suppose X is a discrete ...
0
votes
0answers
34 views

first order auto regressive

Hello how to do the following: Suppose that $X =(X_1,X_2,...,X_n)$ follows the following: $X_t - \mu = \eta (X_{t-1} - \mu) + \epsilon_t,$ $t= 1,2,...$ where $\mu \in R$ and $\eta \in (-1,1)$ ...
0
votes
2answers
72 views

Mean of a possible MLE ,cant figure out the distribution of the sum of $x^{2}$

I would like to know: Is $\beta$ a MLE? If yes what is the mean of it: $E(\beta)=$? given: $x$ is a random variable $$f(x)=\sqrt{\frac{2}{\pi \theta^2}}\exp ...
0
votes
0answers
21 views

Likelihood function of two proportions

I'm starting studying maximum likelihood estimation, and I have came across to a problem that I don't know how to solve yet. How can I write the likelihood function to test the hypothesis that some ...
0
votes
2answers
154 views

Is it possible to calculate the mean and standard deviation from a median and quartiles?

any advice?, thanks! I understand that the reporting of median and quartiles for small samples is an indication of skewed data. If such is correct, then trying to work out the mean and standard ...