query: Distribution of $(X_1-\overline{X})/S$ where $X_i$ are i.i.d. normal
positive_passages.docid: 22759
positive_passages.text: The pdf of $\frac{X_1-\bar{X}}{S}$
negative_passages.docid: 69614
negative_passages.text: a generalization of normal distribution to the complex case: complex integral over the real line
negative_passages.docid: 43181
negative_passages.text: What is the joint distribution of $Z=\min(X,Y)$ and $I_{Z=X}$?
negative_passages.docid: 92126
negative_passages.text: Distribution of range of Uniform $(0,1)$ distribution
negative_passages.docid: 108005
negative_passages.text: A normal divided by $\sqrt{\chi^2(s)/s}$
negative_passages.docid: 10482
negative_passages.text: Prove $(\sum_{i=1}^{n}X_{i},\sum_{i=1}^{n}X_{i}^{2})$ is not a complete statistic for $N(\mu,\mu^2)$ distribution
negative_passages.docid: 55071
negative_passages.text: pdf of a quotient of uniform random variables
negative_passages.docid: 118534
negative_passages.text: Find the distribution of (X, X+Y) when X and Y have a given joint Normal distribution
negative_passages.docid: 55641
negative_passages.text: Distribution of the normal cdf
negative_passages.docid: 154806
negative_passages.text: Limiting distribution of the first order statistic of a general distribution
negative_passages.docid: 4058
negative_passages.text: Suppose X and Y are i.i.d and $\frac{X+Y}{\sqrt{2}}\overset{d}=X\overset{d}=Y$, show that X has a normal distribution.
negative_passages.docid: 86635
negative_passages.text: Optimizing $(X_{n}+c)^{2}$ to show that $P(\overline{X}_{n}\geq \lambda) \leq E(X_{n}^{2})/(EX_{n}^{2}+ \lambda^{2})$
negative_passages.docid: 64844
negative_passages.text: Finding $E(|X_1|\ |\max |X_i| )$
negative_passages.docid: 144650
negative_passages.text: Uniform distribution on unit disk
negative_passages.docid: 157274
negative_passages.text: What is the distribution of the ratio of two normals?
negative_passages.docid: 22117
negative_passages.text: Distribution of $(XY)^Z$ if $(X,Y,Z)$ is i.i.d. uniform on $[0,1]$
negative_passages.docid: 81884
negative_passages.text: Minimal sufficient statistic of $\operatorname{Uniform}(-\theta,\theta)$