query: Show that $1-\Phi(x)$ is approximately $\varphi(x)/x$ for large $x$ (standard-normal random variable)
positive_passages.docid: 40979
positive_passages.text: Evaluate definite interval of normal distribution
negative_passages.docid: 37283
negative_passages.text: Show that $\frac{X-\mu}{\sigma}\sim N(0,1)$ using moment functions
negative_passages.docid: 38324
negative_passages.text: Show that $E(X)=\int_{0}^{\infty}P(X\ge x)\,dx$ for non-negative random variable $X$
negative_passages.docid: 47211
negative_passages.text: Does $\varphi(x)\le\int_0^x\varphi(t)dt$ for all $x\in[0,\infty)$ imply $\varphi\equiv0$.
negative_passages.docid: 19647
negative_passages.text: The limit of a convergent Gaussian random variable sequence is still a Gaussian random variable
negative_passages.docid: 136686
negative_passages.text: Find the almost sure limit of $X_n/n$, where each random variable $X_n$ has a Poisson distribution with parameter $n$
negative_passages.docid: 11535
negative_passages.text: Square root of an inverse gamma distributed random variable
negative_passages.docid: 90411
negative_passages.text: $P(X_1 < \min(X_i,\ldots, X_n))$ across different normal random variables
negative_passages.docid: 14079
negative_passages.text: On the proof that every positive continuous random variable with the memoryless property is exponentially distributed
negative_passages.docid: 20581
negative_passages.text: How to show that $\Gamma\vdash (\varphi\to\neg\varphi)\to\varphi$?
negative_passages.docid: 25654
negative_passages.text: E[X| X>Y] for independent X, Y ~ N(0,1)
negative_passages.docid: 77306
negative_passages.text: Expectation of truncated normal
negative_passages.docid: 119118
negative_passages.text: Prove $n\mid \phi(2^n-1)$
negative_passages.docid: 41100
negative_passages.text: Density of sum of two independent uniform random variables on $[0,1]$
negative_passages.docid: 90055
negative_passages.text: Show that $\mathcal P(x)\notin x$
negative_passages.docid: 81767
negative_passages.text: Reverse Markov Inequality for non-negative unbounded random variables
negative_passages.docid: 132920
negative_passages.text: Help with proof that the expected value of $x_i$ is $\bar{X}$