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John
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8 votes
0 answers
421 views

The sum of eigenvalues of integral operator $S(f)(x)=\int_{\mathcal{X}} k(x,y)f(y)d\mu(y)$ is given by $\int_{\mathcal{X}} k(x,x) d\mu(x)$?

6 votes
2 answers
331 views

Construction of random elements in Hilbert space which are almost surely orthogonal.

6 votes
2 answers
3k views

Showing that asymptotic normality implies consistency.

5 votes
1 answer
766 views

Integration of Hilbert space valued mappings.

5 votes
1 answer
184 views

SLLN for V-statistics - Strong consistency of distance covariance in metric spaces

5 votes
1 answer
113 views

Rate of convergence in probability - log transform

4 votes
0 answers
101 views

Joint measurability of metric.

4 votes
1 answer
317 views

Construction of tensor products of Hilbert spaces with different scalar fields.

4 votes
1 answer
862 views

Ref. Requst: Space of bounded Lipschitz functions is separable if the domain is separable.

3 votes
0 answers
68 views

Expectation of stochastically bounded expression.

3 votes
0 answers
76 views

Reference request: Existence of a Borel probability measure on a metric space with no support.

3 votes
1 answer
418 views

Understanding principal value integral

2 votes
2 answers
577 views

Principal value integral of complex exponential

2 votes
1 answer
203 views

Reference request: Strong Law of Large Numbers for V-statistics

2 votes
0 answers
150 views

Reference request: Asymptotic distribution of degenerate V-statistics

2 votes
0 answers
74 views

Problem showing a limit ( involving the limit that equals the exponential function )

2 votes
2 answers
1k views

Sigma-algebras generated by maps

2 votes
0 answers
119 views

Distribution function of a Compound Poisson process

2 votes
1 answer
1k views

Integration with respect to sum of signed measures.

2 votes
1 answer
1k views

Is a symmetric, invertible and positive semi-definite matrix automatically positive definite?

2 votes
1 answer
334 views

Multidimensional Taylor's formula with mean value remainder - Does it hold?

1 vote
1 answer
45 views

Convergence in Probability - Random function evaluated in random argument.

1 vote
1 answer
114 views

Proof verification: almost linear map is injective iff the kernel only contains zero.

1 vote
1 answer
115 views

Realification of a separable complex Hilbert space

1 vote
0 answers
109 views

Examples of real-world data that takes values in a separable Hilbert space

1 vote
1 answer
292 views

Equality involving sums over permutations.

1 vote
0 answers
64 views

Simple question about basis of Hilbert space

1 vote
1 answer
131 views

Problem with Renewal process and holding times.

1 vote
1 answer
95 views

Seeking help understanding steps in a proof, in "Convergence of probability measures by P.Billingsley".

1 vote
1 answer
206 views

Conditional Expectation and identically independent distributed random variables.