Recent content by J Flanders

  1. J

    Graduate Find MLE for f(y/x) = (x + 1)y^x, 0 < y < 1 and x > -1

    OK, I just want to check this. I get: ln[((x+1)^n)*(y1^x)*(y2^x)*...*(yn^x)] = nln(x+1) + x[ln(y1) + ln(y2) + ... + ln(yn) I take the derivative with respect to x and set it equal to zero: n/(x+1) + ln(y1) + ln(y2) + ... + y(n) and with algebra this implies x (the estimator) = [-n...
  2. J

    Graduate Find MLE for f(y/x) = (x + 1)y^x, 0 < y < 1 and x > -1

    So I get: ln[((x+1)^n)*(y[SIZE="1"]1^x)*(y[SIZE="1"]2^x)*...*(y[SIZE="1"]n^x)], but I don't see how you maximize this. I would imagine you take the derivative and set it equal to zero, but I cannot solve for x. What is the maximum value for x? Thanks for the help from before.
  3. J

    Graduate Find MLE for f(y/x) = (x + 1)y^x, 0 < y < 1 and x > -1

    This is my question: Find the Maximum Likelihood Estimator for f(y / x) = (x + 1)y^x, 0 < y < 1 and x > -1 OR 0, elsewhere. I think this is how you get started, but I get confused. I'm not sure how to continue. The likelihood function defined as the joint density of Y[SIZE="1"]1...
  4. J

    Graduate Chi-squared analysis and budgeting weekly repair costs

    I cannot find any tables of Gamma distributions. How would I find Gamma(5, 20)? Is there a way to turn it into a chi-squared distribution? Thanks for the help from before.
  5. J

    Graduate Chi-squared analysis and budgeting weekly repair costs

    * I posted this in the Coursework section, but I wasn't sure if it would be answered there. * Here's my question: A plant supervisor is interested in budgeting weekly repair costs for a certain type of machine. Records over the past years indicate that these repair costs have an exponential...