Recent content by mlarson9000

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    Cesaro mean question

    Thank you!!!!!!!
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    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?
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    Cesaro mean question

    I think we have found a couple that will work, the difficult part is proving it. How do I do that?
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    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.
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    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...
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    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...
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    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...
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    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...
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    Joint distribution of functions

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

    Could somebody explain this in English?
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    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...
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    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...
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    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...
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