Recent content by mlarson9000

1. Cesaro mean question

Thank you!!!!!!!
2. Cesaro mean question

I have an=1/(10n), for n≠10k bn=log(n) if n=10k I think the argument should go as follows. Since b10 =1, b100=2, b1000= 3, etc., then, σn≤(1/n)[Ʃ10-n] +n*10-n Taking the limit of that as n→∞ would be zero. Does that make sense?
3. Cesaro mean question

I think we have found a couple that will work, the difficult part is proving it. How do I do that?
4. Cesaro mean question

What I have for the sequence I described is: σ10=.599 σ100=.101 σ1000=.032 But I'm not sure how to describe this formally.
5. Cesaro mean question

I have a piecewise sequence for xn, where xn = √n for x10n , 1/n2 otherwise. I know that the series 1/n2 converges, so that part of the mean will go to zero when it is divided by n. For the other part, √n: at n=10, xn/n=.31 at n=100, xn/n=.1 at n=1000, xn/n=.031 I think that will...
6. Cesaro mean question

Homework Statement Define the cesaro mean as σ=(1/n)(x1 +...+xn) Can it happen that xn >0 for all n, and limsup xn =∞, but limσ=0 Homework Equations The Attempt at a Solution I think I am supposed to construct a piecewise sequence, with ln(n), but I can't figure this out or the...
7. Poisson MLE and Limiting Distribution

Homework Statement Let yi denote the number of times individual i buys tobacco in a given month. Suppose a random sample of N individuals is available, for which we observe values 0,1,2,... for yi. Let xi be an observed characterisitc of these individuals (for example, gender). If we...
8. Joint distribution of functions

So 0\leqY1\leq2. The line will have a slope of -1, cutting the square diagonally. It will cut the square in half at t=1. What do I do with this information to get f(y)? F(y)=\intf(y), so I need to find an equation for the area, and differentiate. This will have two parts. First...
9. Joint distribution of functions

You had me until you said to draw the line x1+x2=t. What value of do I use t?
10. Joint distribution of functions

Homework Statement X1 and X2 are independent~u(0,1) Y1=X1+X2 Y2=X1-X2 Find the density function of Y1 Homework Equations X1=(Y1+Y2)/2 X2=(Y1-Y2)/2 0\leqY1\leq2 -1\leqY2\leq1 0\leqY1+Y2\leq2 0\leqY1-Y2\leq2 -y1\leqy2\leq2-y1 -1\leqy2\leqy1 The Attempt at a...
11. Joint density function

Could somebody explain this in English?
12. Limit with trigonometric functions

Isn't it just 0/2=0?
13. Joint density function

Homework Statement Let X and Y be independent uniform (0,1) random variables. a. find th ejoint density of U=X, V=X+Y. b. compute the density funciton of V. Homework Equations The Attempt at a Solution Part a. is not a problem. I don't understand how the bounds for part b...
14. Multiple integral with substitution

Homework Statement This is going to be confusing to read, as I don't know how to make this look right. The first integral is from 0 to L-2d, the second from x1+d to L-d, and the third from x2 to L. (F(x)=1) 1.) 0\intL-2d,x1+d\intL-d,x2+d\intL dx3dx2dx1 2.) 0\intL-2d,x1+d\intL-d...
15. Linear regression problem

Homework Statement Evaluate the partial effect of age of a firm on growth.(evaluated at the means) Homework Equations Growth=\beta0+\beta1age+\beta2age^2+\beta3size*age+\beta4plant*age The Attempt at a Solution We're supposed to do something like this...