Recent content by jillna

  1. J

    Graduate What Are the Conditions for Prob(wx + y < c) ≈ Prob(wx < c) as w → ∞?

    Given two random variables x and y, and a constant c What conditions are needed to make: Prob( w x + y < c ) \approx Prob( w x < c ), \text{ for } w \rightarrow \infty Can anyone help? I think E(x) < \infty and E(y) < \infty might do. Is this right? tks!
  2. J

    Graduate How to Prove the Limit of a Logarithmic Function Ratio?

    Posted: Tue, 20 Jul 2010 14:49:50 Post subject: find a function from the limit Suppose: \lim_{x \rightarrow \infty} \frac{log f_1(x)}{ log x } = c_1 and \lim_{x \rightarrow \infty} \frac{log f_2(x)}{ log x } = c_2 if c_2>c_1 then \lim_{x \rightarrow \infty} \frac{ log f_1(x) +...