Newbetuts
.
New posts in measure-theory
construction of non measurable function
probability-theory
measure-theory
Concrete proof of tightness of product measures on sequence space?
measure-theory
stochastic-processes
why measure theory for probability?
measure-theory
Are simple functions dense in $L^\infty$?
real-analysis
measure-theory
What exactly is a probability measure in simple words?
probability
measure-theory
information-theory
To find a sequence on $L^1$-norm equal to 2, converging a.e. to a function of $L^1$norm equal to 1.
real-analysis
measure-theory
lebesgue-integral
lp-spaces
pointwise-convergence
Measurability of an a.e. pointwise limit of measurable functions.
measure-theory
convergence-divergence
almost-everywhere
Showing that $1/x$ is NOT Lebesgue Integrable on $(0,1]$
measure-theory
lebesgue-integral
$\lim_{n\to\infty}E[XI_{A_n}]=0.$
probability-theory
measure-theory
Uniform Integrability: domination implies UI
real-analysis
measure-theory
probability-theory
uniform-integrability
Book on Measure Theoretic Statistics
measure-theory
statistics
reference-request
Why does the monotone convergence theorem not apply on Riemann integrals?
measure-theory
examples-counterexamples
riemann-integration
Showing that $\{f_n \}$ converges to $f$ is equivalent to $\lim_{n\to \infty} \int_X \frac{|f_n(x)-f(x)|}{1+|f_n(x)-f(x)|}d\mu(x)=0$
measure-theory
lebesgue-integral
$f: \mathbf{R} \rightarrow \mathbf{R}$ monotone increasing $\Rightarrow$ $f$ is measurable
real-analysis
measure-theory
proof-writing
Why does the number of possible probability distributions have the cardinality of the continuum?
probability-theory
statistics
measure-theory
statistical-inference
cardinals
Prove $X(\omega) = \sup\{y \in \mathbb{R}: F(y) < \omega\}$ is a random variable.
probability-theory
measure-theory
probability-distributions
lebesgue-measure
quantile
The "co-small" topology on the naturals?
combinatorics
general-topology
number-theory
measure-theory
convergence-divergence
Derivative and calculus over sets such as the rational numbers
integration
probability-theory
measure-theory
derivatives
probability-distributions
$L_{p}$ distance between a function and its translation
functional-analysis
measure-theory
fourier-analysis
Normed vector space & Schauder basis exercise
real-analysis
linear-algebra
general-topology
functional-analysis
measure-theory
Prev
Next