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LostStatistician18
  • Member for 4 years, 1 month
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4 votes
Accepted

Prove that this set is countable using the counting measure

4 votes

Why is $\mathbb{Q}$ not a $G_\delta$ set?

3 votes
Accepted

If the difference in consecutive elements of a sequence converges to $0$, do consecutive subsequences converge to the same limit point?

3 votes

Proof of Theorem 13.3 in Convergence of Probability Measures by Billingsley

3 votes
Accepted

For independent Bernouilli RVs, $X_n \to 0$ a.s. iff $\sum \mathbb{P}(X_n=1) < \infty$

3 votes

if $f \in L^1,$ is there a Riemann integrable $g$ s.t. $f=g$ almost everywhere?

3 votes
Accepted

Does independence of random variables imply independence of conditional expectations?

3 votes
Accepted

Doubt on strong law of large number theorem

3 votes

Different versions of functional central limit theorem (aka Donsker theorem)?

3 votes

Every sequence of probability measures on a compact metric space is tight

3 votes
Accepted

Convergence of Indicator Functions to $0$

2 votes
Accepted

Distribution of sum of discrete random variables and central limit theorem

2 votes

Show that if $X$ is absolutely continuous and $g$ is absolutely continuous on bounded intervals, then $g(X)$ is absolutely continuous.

2 votes

Completeness of $L^p$

2 votes
Accepted

Calculating Expectation $\mathbb{E}Y_n$ of a random Variable.

2 votes
Accepted

Understanding the Law(s) of Large Numbers

2 votes
Accepted

Prove inequality bound for truncated random variables $X_{nk\delta}, X_{nk1}$

2 votes
Accepted

Is there a rigorous way to show it is not a sufficient statistic?

2 votes
Accepted

DCT application

2 votes
Accepted

Is it possible to obtain an expression like $\langle T^*Tx,x\rangle_H\ge c\|x\|_H^2$ for $c>0$?

2 votes
Accepted

Show that the collection of sets for which the inner measure equals the outer measure $\mu_*(A) = \mu^*(A)$ is a $\sigma$-algebra.

2 votes
Accepted

If every elements of a matrix convergence in probability, do this matrices converge in probability?

2 votes
Accepted

What happens to the limiting property of $\frac{\hat{\theta_n}}{n^{1/2}}$ if n goes to infinity?

2 votes

Expected value of a dice Game with 18 rolls at most - land on a 6 to lose it all, anything else wins you the dice value

2 votes
Accepted

In what way is a Gaussian process a distribution over function space?

2 votes
Accepted

A Probability Distribution Whose Variance Doesn't Change as You Raise it to Higher and Higher Positive Integer Powers

2 votes
Accepted

First step of an alternative proof of Bennett's inequality - Moment Generating Function inequality

2 votes
Accepted

Law of the unconscious Statistician for Higher Order Functions

2 votes
Accepted

Is $1/f$ integrable when $f$ is finite on compact sets, absolutely continuous and $f \geq 1$?

2 votes

Why do we require intervals in Jensen's inequality?