So I have this code:
function ApproxSinDeriv(x,n)
h=.5;
for i = 0:n
h;
approx = (1/(2*h))*(sin(x+h)-sin(x-h));
error = abs(approx-cos(x));
h = h/2;
A=[i,h,approx,error]
end
Basically, it's a three-point formula for approximating a derivative, where the variables n = the...
Oh, g_{(n)}(y) is the density function for Y_{(n)}=max(Y1, Y2, ..., Yn)
g_{(n)}(y) = n[F(Y)]^{n-1}*f(y), where F(Y) is the distribution function of Y and f(y) is the density function. Since the bounds are theta and theta plus one, I assumed that f(y), by definition, is 1/(theta + one -...
Homework Statement
Let Y1, Y2, ..., Yn denote a random sample from the uniform distribution on the interval (\theta, \theta + 1). Let \hat{\theta} = Y_{(n)} - \frac{n}{n+1}
Show that \hat{\theta} is an unbiased estimator for \thetaHomework Equations
Well, to check for unbiasedness...
I guess you're talking about Poisson approximation? I had to look that one up. It's mentioned in the book, but not under that term. Very clever. I'll have to try that out.
Homework Statement
Suppose that on average, I will receive one phone call every night. Under reasonable assumptions (not given in this question prompt), show that the probability of receiving exactly one phone call, tonight, is e^-1.
Homework Equations
Possibly the gamma distribution function...