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 Aug15 asked Question on sufficient statistics Aug15 accepted Calculating a probability mass function (sufficient statistic) Aug14 comment Calculating a probability mass function (sufficient statistic) @AlexR. ahh ok, well that would explain my inconsistent results, thanks. Aug14 comment Calculating a probability mass function (sufficient statistic) @AlexR. so you're saying that $T$ is not a random variable taking values in $1,...,n$ depending on which $X_k$ is the smallest, but instead takes the value of $X_{(1)}$? Aug14 asked Calculating a probability mass function (sufficient statistic) Aug8 comment Help Proving that $\frac{(1+\frac{1}{t})^t}{e} = 1 -\frac{1}{2t} + O(\frac{1}{t^2})$ for $t\geq 1$ Ansturm is now banned. Jul22 accepted Sampling 100 widgets to test for defective ones Jul21 comment Sampling 100 widgets to test for defective ones Yah that's right. I believe their reasoning would have been correct if the $P(B_i)$ were uniform for all $i$, but since $P(B_6)$ is very small compared to $i$'s closer to $50$, their reasoning isn't correct. Jul21 comment Sampling 100 widgets to test for defective ones statistical inference 2nd edition exercise 3.2, the answer isn't actually in the book, I found a (apparently less than perfect) pdf of solutions online. Jul21 comment Sampling 100 widgets to test for defective ones The sampling is done without replacement since I won't be checking the same widget for defectiveness multiple times. Jul21 comment Sampling 100 widgets to test for defective ones @ClementC. the summation can go on to $100$ since as you say once it passes $100-k$ it no longer contributes anything. Jul21 comment Sampling 100 widgets to test for defective ones Yah my formula gives $k=4$ (probably accounting for the fact that $P(B) < 1$), so it's far more in agreement with your estimate. So it looks like my book is in error then, thanks. Jul20 revised Sampling 100 widgets to test for defective ones added 1 characters in body Jul20 asked Sampling 100 widgets to test for defective ones Jul11 asked Direct construction of an arbitrary elliptic function of order $2$ with pole set contained in its lattice. Jul6 accepted Prove that the number of ways to put $n$ distinct balls into $n$ distinct boxes is $n^n$ Jul6 revised Prove that the number of ways to put $n$ distinct balls into $n$ distinct boxes is $n^n$ added 9 characters in body; edited title Jul6 asked Prove that the number of ways to put $n$ distinct balls into $n$ distinct boxes is $n^n$ Jun22 comment Why isn't the Ito integral just the Riemann-Stieltjes integral? So what you're saying is that as $|\Pi|\rightarrow 0$, $\sum_{\Pi}f(x_i)(B(x_i)-B(x_{i-1}))$ will converge to different values depending on the choice of partition sequence $\Pi$ with some positive probability? but that it will weakly converge to the same value no matter $\Pi$? Jun22 comment Why isn't the Ito integral just the Riemann-Stieltjes integral? So are you saying that the upper and lower sums will depend on the choice of the sequence of partitions? I was under the impression that that part still worked for Brownian Motion.