The discussion focuses on finding the Maximum Likelihood Estimation (MLE) for a constant x in the context of an exponential distribution for z, defined by the probability density function (pdf) exp(-v-2) for v ≥ 2. The equation y = x + z is central to the problem, and the condition density f_v(y-x) is derived through integration. The participants clarify the limits of integration, emphasizing the importance of correctly interpreting the integral from -2+x to infinity, which leads to the conclusion that maximizing this function does not yield x = infinity as initially suggested.
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Do you mean "integral from -2+x to infinity of exp(-y+x-2) dy"? I don't get e2x for that.cutesteph said:f_v(y-x) = integral of -2+x to infinity of exp(-y+x-2) dy = exp(2x) but maximizing this would mean x = infinity?