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New posts in probability-distributions
Difference of order statistics in a sample of uniform random variables
statistics
probability-distributions
Showing that ${\rm E}[X]=\sum_{k=0}^\infty P(X>k)$ for a discrete random variable
probability
probability-theory
probability-distributions
Probability zero vs impossible
probability
probability-theory
probability-distributions
Probability - exponential distribution question
probability
probability-distributions
exponential-distribution
Does the sum of random variables sampled with/without substitution differ for large populations?
probability
statistics
probability-distributions
central-limit-theorem
law-of-large-numbers
Finding distribution given bivariate normal $f_{xy}$
statistics
probability-distributions
normal-distribution
cdf of $X/(X+Y)$, where $X$ and $Y$ are i.i.d. uniform
probability-distributions
if $X,Y$ be a random independent variables if $X+Y$ and $Y$ has the same distribution, then $\mathbb{P}[X=0]=1$
probability
probability-theory
probability-distributions
Using the Central Limit Theorem to show $\lim_{n \to \infty} \frac{1}{(n-1)!} \int_0^n x^{n-1}e^{-x} dx= 1/2$
probability
probability-theory
probability-distributions
central-limit-theorem
Calculate the following limit using the Central Limit Theorem
probability-theory
probability-distributions
binomial-distribution
central-limit-theorem
Let $Y_1, \ldots , Y_n$ be independent with $Y_k \sim U(0,1).$ If $S_n=\Sigma_k kY_k$, show that $4S_n/n^2$ converges in distribution to $1.$
probability
probability-theory
probability-distributions
uniform-distribution
Method of moment estimator Pareto
probability-distributions
Finding the distribution of $\|X-\mu \|_\Sigma^2$ with $X \sim N(\mu,\Sigma)$
probability-distributions
normal-distribution
chi-squared
Sum-Product of Random Variables
probability
probability-theory
probability-distributions
A question about Central Limit Theorem and the calculation of a limit.
probability
probability-theory
probability-distributions
binomial-distribution
central-limit-theorem
When $\Big[ uv \Big]_{x\,:=\,0}^{x\,:=\,1}$ and $\int_{x\,:=\,0}^{x\,:=\,1} v\,du$ are infinite but $\int_{x\,:=\,0}^{x\,:=\,1}u\,dv$ is finite
probability-distributions
definite-integrals
expectation
conditional-convergence
example of random variable that is integrable but have infinite second moment
probability
probability-theory
probability-distributions
Intuition behind binomial variance
statistics
probability-distributions
intuition
binomial-distribution
variance
Marginal Density Function, Gamma and Beta distributions
probability
probability-theory
probability-distributions
density-function
Where did I go wrong in proving $\mathbb E[X^{2n}] = \prod_{1 \leq k \leq 2n, k \operatorname{odd}}k$
probability
probability-theory
probability-distributions
expected-value
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