User Maths Freak - Mathematics Stack Exchange

8 votes

1 answer

764 views

Show that $X_n - Y_n\to 0$ in probability.

asked Jul 8, 2021 at 9:53

7 votes

2 answers

122 views

Find the quantity: $P \left(\bigcap_{j=1}^{n} \left \{U_{(j)} > \frac{\alpha j}{n} \right \} \right)$

asked Aug 13, 2022 at 15:40

5 votes

1 answer

187 views

Show that $\lim_{n \rightarrow \infty} \frac{N_n(i,j)}{N_n(i)}=P_{ij}$

asked Apr 2, 2023 at 2:56

5 votes

2 answers

289 views

Prove that $\limsup \ \frac{B\left(t\right)}{\sqrt{t\ }\log t}=0$

asked Apr 23, 2023 at 23:45

4 votes

3 answers

666 views

Random walks on regular trees

asked Mar 6, 2023 at 2:20

4 votes

2 answers

320 views

A characterization of almost sure convergence

asked Oct 15, 2021 at 7:06

3 votes

3 answers

1k views

Show that there exists $x_0$ such that $f(x_0+2 \pi)=f(x_0)$

asked Sep 17, 2020 at 19:52

3 votes

0 answers

176 views

Find a two-dimensional minimal sufficient statistic for $(\theta,j)$.

asked Aug 26, 2022 at 4:49

3 votes

2 answers

135 views

How to show that $a_{n+2}=\frac{a_{n+1} ^2 -1}{a_n}$ . is bounded?

asked Nov 18, 2020 at 13:01

2 votes

1 answer

56 views

Bayesian fallacy in Binomial example

asked Feb 2, 2022 at 14:47

2 votes

1 answer

460 views

Wasserstein distance for two normal cdfs

asked Oct 20, 2022 at 20:42

2 votes

0 answers

34 views

p-value expressed in terms of angles

asked Jul 6, 2022 at 2:50

2 votes

1 answer

273 views

UMVUE of $\theta$ for Negative Binomial family

asked Jul 29, 2022 at 3:56

2 votes

1 answer

103 views

MLE in a Gaussian sequence model

asked Jul 30, 2022 at 2:36

2 votes

1 answer

127 views

Find $\lim_{n \rightarrow \infty} E(X_1\mid X_1+\cdots+X_n)$

asked Jul 1, 2021 at 14:54

2 votes

1 answer

76 views

Show that $R$ has a pmf defined over the positive rationals

asked Aug 26, 2020 at 17:57

2 votes

3 answers

149 views

Approximate the expected number of jobs in a year.

asked Oct 17, 2021 at 23:12

2 votes

0 answers

400 views

Convergence in distribution implies stochastic boundedness

asked Feb 8, 2021 at 19:37

2 votes

0 answers

61 views

Is it possible to find the distribution of $\frac{X_1-\bar{X}}{s^2}$?

asked Feb 24, 2020 at 20:00

2 votes

1 answer

440 views

Chapman Robbins lower bound for shifted exponential

asked Feb 29, 2020 at 5:22

2 votes

3 answers

188 views

Find $\lim_{n \rightarrow \infty} \int_{0}^{x} \frac{(-\ln{z})^n}{n!} dz$

asked May 2, 2020 at 3:01

1 vote

2 answers

81 views

How to show right continuity for a df?

asked Jun 11, 2020 at 3:32

1 vote

0 answers

160 views

Let $Y_1,Y_2,...,Y_n$ be $n$ independent random variables such that each $Y_i \sim POI(\beta x_i) $

asked Jul 26, 2020 at 14:07

1 vote

1 answer

64 views

Find a fault in this counting proof

asked Aug 14, 2020 at 7:00

1 vote

1 answer

39 views

convex and unbounded implies increasing?

asked Feb 16, 2021 at 16:44

1 vote

3 answers

177 views

Find the sum $\sum_{n=1}^\infty\frac{\sqrt{n}}{2^{n/2}}$

asked Mar 16, 2021 at 1:40

1 vote

1 answer

33 views

Show that $\{\max_{0 \le i \le n} \sum_{j=1}^{i} \epsilon_j \ge t \}=\sqcup_{i=0}^{n} E_i$.

asked Apr 16, 2021 at 10:37

1 vote

1 answer

453 views

Every sequence has a further subsequence converges in probability to $X$

asked Apr 17, 2020 at 6:58

1 vote

2 answers

77 views

Prove that $(\mu_1 \otimes \mu_2)\circ {\Pi_1}^{-1}=\mu_1$

asked Jun 1, 2020 at 16:45

1 vote

0 answers

20 views

Global balance for mean and product of transition matrices

asked Dec 10, 2022 at 18:02

Stack Exchange Network

65 Questions

Show that $X_n - Y_n\to 0$ in probability.

Find the quantity: $P \left(\bigcap_{j=1}^{n} \left \{U_{(j)} > \frac{\alpha j}{n} \right \} \right)$

Show that $\lim_{n \rightarrow \infty} \frac{N_n(i,j)}{N_n(i)}=P_{ij}$

Prove that $\limsup \ \frac{B\left(t\right)}{\sqrt{t\ }\log t}=0$

Random walks on regular trees

A characterization of almost sure convergence

Show that there exists $x_0$ such that $f(x_0+2 \pi)=f(x_0)$

Find a two-dimensional minimal sufficient statistic for $(\theta,j)$.

How to show that $a_{n+2}=\frac{a_{n+1} ^2 -1}{a_n}$ . is bounded?

Bayesian fallacy in Binomial example

Wasserstein distance for two normal cdfs

p-value expressed in terms of angles

UMVUE of $\theta$ for Negative Binomial family

MLE in a Gaussian sequence model

Find $\lim_{n \rightarrow \infty} E(X_1\mid X_1+\cdots+X_n)$

Show that $R$ has a pmf defined over the positive rationals

Approximate the expected number of jobs in a year.

Convergence in distribution implies stochastic boundedness

Is it possible to find the distribution of $\frac{X_1-\bar{X}}{s^2}$?

Chapman Robbins lower bound for shifted exponential

Find $\lim_{n \rightarrow \infty} \int_{0}^{x} \frac{(-\ln{z})^n}{n!} dz$

How to show right continuity for a df?

Let $Y_1,Y_2,...,Y_n$ be $n$ independent random variables such that each $Y_i \sim POI(\beta x_i) $

Find a fault in this counting proof

convex and unbounded implies increasing?

Find the sum $\sum_{n=1}^\infty\frac{\sqrt{n}}{2^{n/2}}$

Show that $\{\max_{0 \le i \le n} \sum_{j=1}^{i} \epsilon_j \ge t \}=\sqcup_{i=0}^{n} E_i$.

Every sequence has a further subsequence converges in probability to $X$

Prove that $(\mu_1 \otimes \mu_2)\circ {\Pi_1}^{-1}=\mu_1$

Global balance for mean and product of transition matrices