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New posts in density-function
joint densities and transformation of random variables
probability
density-function
Is there a constant $c$ that $\frac{c}{1+x}$ be a probability density function for $x>0$?
probability
density-function
Estimate bias determination
probability
statistics
density-function
parameter-estimation
cumulative-distribution-functions
Gaussian Mixture Model: What is a "universal approximator of densities"?
probability-distributions
stochastic-processes
density-function
Find the marginal densities of $X$ and $Y$ knowing $h(x,y)$
statistics
probability-distributions
density-function
marginal-distribution
Understanding Why we Integrate joint density function with opposite bounds to get marginal density
probability
density-function
marginal-probability
Limits of integration for range of uniform distribution
density-function
order-statistics
If $U\sim\chi_{m}^2$ independently of $V\sim\chi_n^2$ then prove that $\frac{V}{U+V}\sim\beta\left(\frac n2,\frac m2\right)$
probability
integration
probability-distributions
density-function
Find a constant c from PDF
probability
density-function
Limit of Multivariate Probability Density Function as one or more or all variables approach positive or negative infinity
real-analysis
limits
probability-theory
probability-distributions
density-function
Show that the pdf is ${1 \over {(n-1)}!} \sum\limits_{n \leq j \leq \lfloor x\rfloor}(-1)^j \binom{n}{j}(x-j)^{n-1}$
probability
probability-theory
density-function
Non standard solution to $f(x) = \frac{1}{2}\Big(f(\frac{x}{2}) + f(\frac{1+x}{2})\Big)$
real-analysis
sequences-and-series
irrational-numbers
density-function
Transformation of Random Variable $Y = X^2$
probability
random-variables
density-function
Pdf of $Z=XY$ where $X$ and $Y$ are independent uniform$(0,1)$ variables
calculus
probability-distributions
density-function
Find joint density function of X and X+Y (exponential distribution)
density-function
exponential-distribution
Integral of probability density over a Borel set
probability
measure-theory
lebesgue-integral
lebesgue-measure
density-function
Show that $\mathbb{E}\left|\hat{f_n}-f \right| \leq \frac{2}{n^{1/3}}$ where $\hat{f_n}$ is a density estimator for $f$
probability-theory
statistics
expected-value
density-function
upper-lower-bounds
Density of a linear transformation of an inverse gaussian variable
random-variables
linear-transformations
density-function
Distribution of $\sum_{i=1}^n \max\{(r-X_i),0\}$, with $X_i$ continuous positive iid
calculus
real-analysis
integration
probability-theory
density-function
Marginal Density Function, Gamma and Beta distributions
probability
probability-theory
probability-distributions
density-function
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