# random variables

1. ### Can we model the experiments as a stochastic process and estimate the sample size?

I have an image with the size 5575x9440 and I'm implementing a modified version of the algorithm used in this paper on it, but because the code performance is low right now, I have divided the image to 52628 submatrices of the size 25x40 (1000 pixels) and my first experiments show that...
2. ### Random Variable of two other random variables. Confusion to the max!

Here is the question at hand: I don't even know how to begin this question. I'm not looking for a complete solution per se but I don't even know where to begin. Suppose that X is a binomial random variable with parameters (m, θ) and Y is another binomial random variable with parameters (n...
3. ### Guidance with a random variable problem needed

Hello. So I have been trying to solve this problem on my statistics course and I'm having a lot of trouble: "In BME Bioinstrumentation lab, each student is given one transistor to use during one experiment. The probability a student destroys a transistor during this experiment is 0.7. Let...
4. ### reference for representation of linear functionals of random variables

I'm looking for a representation theorem for linear functionals of random variables. I'm not sure if Riesz–Markov–Kakutani does it, but it seems that something like that is going to do it. Can anyone point me to a theorem? A reference to a book discussing random variables at that level of...
5. ### Assumption of variables for Factor Analysis

Hi, In wikipedia page of Factor Analysis it states:Suppose we have a set of p observable random variables. Does it mean that we can use this method only for data which are random variables?! http://en.wikipedia.org/wiki/Factor_analysis
6. ### Convert to Reandom Variables- Time Series Analysis

Hi, I have a set of water quality data that are not random but I want use them in a Copula model so I should have random variables (I know it can done with time series analysis). Can anybody help me in finding a journal paper or book that I can use as a guide. Thank you
7. ### Generating correlated random vars with Cholesky

Hi everyone, Can somebody please explain to me what is the intuition behind the cholesky decomposition when generating correlated random variables? The funny thing is that i know how to calculate it, the thing is that I have no idea why it works....... In my Monte Carlo simulator i...
8. ### The minimum of two independent geometric random variables...

Hi there, here's a question I got for homework (sorry if my translation is a bit unclear): I have no idea where to start, even with the great clue that they've supplied. Any hints?
9. ### Need help with joint distribution involving cauchy distributions

Okay so I know that help is only given to those who show effort, but I'm totally stuck on this one, I don't even know where to start. I know what the Cauchy distribution is and i could plug it in for the Y variables, but I don't know where that would get me. Please help me out!
10. ### Using rbinom and pbinom

We just started learning R in my statistics class, and I am confused by the use of the rbinom and pbinom functions. Here is the type of problem I am trying to do. Suppose we roll a die 50 times. The random variable Y=the number of rolls that show a 5 or a 6. How would I find: P(Y>=30)...
11. ### Precision of Sum of Random Variables

If we increase the sample size on the average by a factor k, then the precision 1/(standard error) on the estimate of the mean increases by a factor of sqrt(n). My question is what if anything can we say quantitatively about the change in precision on the SUM of random variables as the sample...
12. ### Generate Poisson with different lambda values from the same U(0,1) random variable

Hi. I'm trying to generate a few data sets from a Poisson distribution starting for "scratch" following these steps: 1.Generate n random U(0,1) variables. 2.Then, transform these n U(0,1) variables into n Poisson random variables with parameter lambda. These lambda are 1,2 and 3. ----so...
13. ### continuous random variables help

continuous random variables: basically, if you guys can answer this question for me and explain how its done I should be able to do the rest of the assignment in this area. The 2007 Toyota Camry Hybrid (automatic, 2.4-litre, 4-cylinder) has an average fuel consumption of 6.5 litres per...