User Satana

4 votes

1 answer

1k views

Conditional expectation of exponential random variable

asked Sep 29, 2017 at 14:31

4 votes

1 answer

50 views

Function space with $\|\cdot\|_g$ norm

general-topology functional-analysis banach-spaces

asked May 26, 2019 at 19:46

3 votes

2 answers

861 views

Are hyperplanes through the origin the only $n-1$ dimensional subspaces?

linear-algebra vector-spaces

asked Jun 2, 2017 at 22:49

3 votes

1 answer

2k views

Proof of supporting hyperplane theorem in Boyd and Vandenberghe

convex-analysis

asked Jun 3, 2017 at 3:54

2 votes

1 answer

894 views

Conditional expectation of $X_1$ given $S_n$

probability-theory proof-verification conditional-expectation

asked Nov 15, 2016 at 22:30

2 votes

1 answer

360 views

Affine dimension of a simplex determined by $k+1$ points

convex-analysis convex-optimization convex-hulls

asked May 16, 2017 at 19:40

2 votes

0 answers

690 views

Proving property of recurrent classes

probability probability-theory stochastic-processes markov-chains markov-process

asked Jul 12, 2017 at 0:25

2 votes

2 answers

916 views

David Williams "Probability with Martingales" Exercise 4.1

probability probability-theory measure-theory

asked Aug 30, 2018 at 23:16

2 votes

1 answer

64 views

Equivalent characterization of convergence in measure

probability-theory measure-theory convergence-divergence lebesgue-measure

asked Nov 3, 2019 at 23:01

2 votes

1 answer

81 views

Convergence of martingales is a martingale

probability probability-theory stochastic-processes martingales stochastic-integrals

asked Jul 21, 2020 at 14:03

2 votes

0 answers

70 views

Derivative of negative exponential of increasing function

real-analysis limits analysis exponential-function

asked Mar 10, 2021 at 0:43

2 votes

1 answer

234 views

Reducing a second order ODE to a hypergeometric equation

ordinary-differential-equations analysis partial-differential-equations dynamical-systems

asked Mar 11, 2021 at 2:48

2 votes

0 answers

341 views

Why can simple functions not take the value $\infty$?

integration measure-theory lebesgue-integral lebesgue-measure measurable-functions

asked May 17, 2019 at 17:27

1 vote

2 answers

53 views

Second-order partials nonpositive at maximum

real-analysis calculus analysis multivariable-calculus derivatives

asked May 4, 2021 at 19:50

1 vote

1 answer

81 views

Meaning of $f(x\pm 0)$

real-analysis analysis measure-theory functions continuity

asked Jul 29, 2019 at 23:48

1 vote

0 answers

34 views

Weak convergence of norms to zero implies weak convergence of random processes to zero?

probability-theory stochastic-processes weak-convergence stochastic-analysis probability-limit-theorems

asked Oct 27, 2019 at 22:34

1 vote

1 answer

136 views

Difference between Skorokhod spaces $D^n$ and $D\times D\times \cdots \times D$

functional-analysis probability-theory measure-theory stochastic-processes skorohod-space

asked Nov 1, 2019 at 2:19

1 vote

1 answer

520 views

Proof that augmented filtration is right continuous

probability-theory measure-theory stochastic-processes filtrations

asked Nov 2, 2018 at 19:27

1 vote

1 answer

320 views

Infinite Riemann integral implies infinite lower Riemann sum?

real-analysis analysis riemann-integration riemann-sum

asked Feb 6, 2018 at 5:38

1 vote

1 answer

661 views

Computing $P(\limsup S_n=\infty)$ and $P(\liminf S_n=-\infty)$ for a random walk

probability-theory random-walk

asked Feb 22, 2018 at 2:37

1 vote

1 answer

299 views

Infinite metric on $[-\infty,\infty]$

real-analysis general-topology analysis metric-spaces

asked Apr 9, 2018 at 19:15

1 vote

0 answers

133 views

Stopped martingales are random variables in continuous time

probability probability-theory martingales

asked Jul 3, 2018 at 17:18

1 vote

1 answer

86 views

Transforming $n\times k$ matrix of rank $k$

linear-algebra linear-transformations

asked May 21, 2017 at 22:52

1 vote

1 answer

68 views

Uniqueness of positive/negative parts of integral

probability-theory measure-theory

asked Feb 3, 2017 at 19:49

0 votes

2 answers

1k views

Some basic topological properties of dual cones

convex-analysis duality-theorems dual-cone

asked Jun 4, 2017 at 20:28

0 votes

2 answers

419 views

Property of dual generalized inequalities

convex-analysis duality-theorems geometric-inequalities dual-cone

asked Jun 8, 2017 at 19:22

0 votes

1 answer

273 views

Proving entire sequence space and the subspace of sequences with finitely many non-zero entries are not isomorphic

linear-algebra vector-spaces vector-space-isomorphism

asked Apr 2, 2019 at 21:03

0 votes

1 answer

387 views

Minimizing a linear function over an affine set

optimization convex-optimization linear-programming

asked Sep 20, 2017 at 23:16

0 votes

0 answers

187 views

Computing the correlation between two Brownian motions

probability probability-theory stochastic-processes brownian-motion stochastic-analysis

asked Nov 24, 2019 at 16:52

0 votes

0 answers

128 views

Evan's definition of a $C^k$ boundary

calculus analysis partial-differential-equations

asked Mar 2, 2020 at 20:51

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32 Questions

Conditional expectation of exponential random variable

Function space with $\|\cdot\|_g$ norm

Are hyperplanes through the origin the only $n-1$ dimensional subspaces?

Proof of supporting hyperplane theorem in Boyd and Vandenberghe

Conditional expectation of $X_1$ given $S_n$

Affine dimension of a simplex determined by $k+1$ points

Proving property of recurrent classes

David Williams "Probability with Martingales" Exercise 4.1

Equivalent characterization of convergence in measure

Convergence of martingales is a martingale

Derivative of negative exponential of increasing function

Reducing a second order ODE to a hypergeometric equation

Why can simple functions not take the value $\infty$?

Second-order partials nonpositive at maximum

Meaning of $f(x\pm 0)$

Weak convergence of norms to zero implies weak convergence of random processes to zero?

Difference between Skorokhod spaces $D^n$ and $D\times D\times \cdots \times D$

Proof that augmented filtration is right continuous

Infinite Riemann integral implies infinite lower Riemann sum?

Computing $P(\limsup S_n=\infty)$ and $P(\liminf S_n=-\infty)$ for a random walk

Infinite metric on $[-\infty,\infty]$

Stopped martingales are random variables in continuous time

Transforming $n\times k$ matrix of rank $k$

Uniqueness of positive/negative parts of integral

Some basic topological properties of dual cones

Property of dual generalized inequalities

Proving entire sequence space and the subspace of sequences with finitely many non-zero entries are not isomorphic

Minimizing a linear function over an affine set

Computing the correlation between two Brownian motions

Evan's definition of a $C^k$ boundary