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David's user avatar
David's user avatar
David
  • Member for 9 years, 1 month
  • Last seen more than a week ago
24 votes
Accepted

Is there a solution manual for Royden fourth edition?

7 votes

Why $\sigma$-algebras represent information, and what information does $\sigma(X)$ represent?

3 votes
Accepted

Why do we need $\beta_1>0$ and $\alpha_n<\beta_n$ in this proof?

3 votes

How to show that $n^{-1}S_n \rightarrow 0$?

2 votes
Accepted

Confusion about definition of uniformly continuous function

2 votes
Accepted

Proving the continuity of functions from one metric to another

2 votes

Chebyshev's inequality for 1 standard deviation results in 0?

2 votes
Accepted

How to determine when this two variable transformation is invertible?

2 votes
Accepted

Measure concentrated at a point

1 vote
Accepted

Show that if $(X_1,Y_1)$ and $(X_2,Y_2)$ are independent random vectors, then $(X_1,Y_1,g(X_1,Y_1))$ and $(X_2,Y_2,g(X_2,Y_2))$ are as well.

1 vote

Prove that every nonempty open subset $G$ of $\mathbb{R}^n$ can be expressed as a countable union of nonoverlapping closed rectangles.

1 vote

At which points is the following function continuous?

1 vote

An outer measure is countable-additive on the measurable sets

1 vote

Basic way to show for $n\times n$ matrices $A$ and $B$, that $(AB)^{-1} = (B^{-1})(A^{-1})$

1 vote
Accepted

Integral of a total derivative

1 vote

a) Find all the values of $\alpha$ such that $f'(0)$ exists. b) Find all the values of $\alpha$ such that $f$ is of bounded variation on $[0,1]$

1 vote

Analogue of continuous mapping theorem for convergence in $L^2$

0 votes

Every 1-Lipschitz function in the closed unit ball has a fixed point

0 votes

Exact statement of the Radon-Nikodym Theorem

0 votes

Finding the limit of $\prod_{i=1}^\infty p_i$ with $p_i<1$

0 votes

Cartesian product of two real sets

0 votes

About the equivalence of two asymptotic probabilistic statements

0 votes

Difficulty with a differentiation of measures proof

0 votes

Copulas, implication

0 votes

Mixture Distribution/ Mixture Model

0 votes

How do I construct transition matrix for the following?