User nicefella

20 votes

4 answers

16k views

Cardinality of a set A is strictly less than the cardinality of the power set of A

asked Apr 8, 2013 at 4:27

8 votes

4 answers

2k views

Does there exist a continuous bijective function $ \displaystyle f : \Bbb R \rightarrow \Bbb R − \{1\}$?

asked Mar 25, 2013 at 5:34

7 votes

5 answers

2k views

If A is a denumerable set, and there exists a surjective function from A to B, then B is denumerable

asked Apr 1, 2013 at 1:52

6 votes

4 answers

10k views

Let $A$ be any uncountable set, and let $B$ be a countable subset of $A$. Prove that the cardinality of $A = A - B $

asked Apr 8, 2013 at 17:30

5 votes

1 answer

58k views

Expected value of joint probability density functions

asked Mar 27, 2013 at 21:09

3 votes

3 answers

633 views

$P(A)$ and $2^A$ are numerically equivalent

asked Apr 8, 2013 at 0:51

3 votes

1 answer

3k views

Proving every infinite set is a subset of some denumerable set and vice versa

asked Apr 9, 2013 at 4:07

3 votes

2 answers

2k views

$\forall x \in I , \exists y \in I$ such that $xy \in I $

asked Apr 11, 2013 at 2:34

3 votes

2 answers

4k views

Indexed unions and definitions

asked Apr 11, 2013 at 17:11

3 votes

3 answers

2k views

Prove the following is a tautology

asked Apr 11, 2013 at 20:50

3 votes

1 answer

130 views

Non-technical question about maximum likelihood estimation / intuition

asked Feb 4, 2014 at 3:33

2 votes

3 answers

190 views

Show that the co-variance is zero between $\bar{Y}$ and $Y_i - \bar{Y}$

asked Jan 26, 2014 at 18:39

2 votes

2 answers

223 views

Show that as $d$ goes to $\infty$, a standardized version of $X$ has the STD Normal Dist

asked Jan 29, 2014 at 19:32

2 votes

1 answer

46 views

Algebraically expanding this function

asked Jan 29, 2014 at 20:48

2 votes

2 answers

600 views

Proving that if $A$ is a non-empty set, then $|A| ≤ |A \times A|$

asked Apr 1, 2013 at 0:54

1 vote

1 answer

2k views

Exponential probability density functions of independent variables

asked Mar 27, 2013 at 22:46

1 vote

1 answer

4k views

The Joint Probability Density Function of X & Y is given by....

asked Mar 27, 2013 at 19:59

1 vote

1 answer

220 views

Maximum Likelihood Estimation

asked Feb 23, 2014 at 22:34

1 vote

2 answers

910 views

What is the distribution of the average of IID exponential RVs? (have to use MGFs)

asked Jan 14, 2014 at 2:10

1 vote

1 answer

60 views

Morphing $\beta_1$ into a different form (OLS question in Statistics)

asked Jan 19, 2014 at 2:35

1 vote

1 answer

2k views

Justifying the Normal Approx to the Binomial Distribution through MGFs

asked Jan 23, 2014 at 1:45

1 vote

1 answer

273 views

$Z$~$N(0,1)$ relating to the chi square distribution

asked Jan 26, 2014 at 2:31

1 vote

1 answer

305 views

Books/Review material on infinite cardinality for undergrad

asked Apr 10, 2013 at 3:35

1 vote

1 answer

970 views

Limits of Integration for marginal pdf

asked Apr 13, 2013 at 17:31

1 vote

1 answer

1k views

Using Bayes Theorem intuitively without equation (tree-diagrams)

asked Apr 14, 2013 at 19:20

1 vote

1 answer

1k views

$X$ and $Y$ correlation coefficient of $2/3$ , find $\mathrm{Var}(3X − 5Y+ 7)$

asked Apr 16, 2013 at 0:49

1 vote

1 answer

32k views

Finding the median value on a probability density function

asked Apr 16, 2013 at 4:01

1 vote

1 answer

7k views

Consistency of sample variance $S^2$

asked Feb 24, 2014 at 4:19

1 vote

3 answers

2k views

MLE of uniform distribution

asked Feb 26, 2014 at 23:58

0 votes

2 answers

82 views

Central Limit Theorem VS Normal Model

asked Apr 16, 2013 at 16:19

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37 Questions

Cardinality of a set A is strictly less than the cardinality of the power set of A

Does there exist a continuous bijective function $ \displaystyle f : \Bbb R \rightarrow \Bbb R − \{1\}$?

If A is a denumerable set, and there exists a surjective function from A to B, then B is denumerable

Let $A$ be any uncountable set, and let $B$ be a countable subset of $A$. Prove that the cardinality of $A = A - B $

Expected value of joint probability density functions

$P(A)$ and $2^A$ are numerically equivalent

Proving every infinite set is a subset of some denumerable set and vice versa

$\forall x \in I , \exists y \in I$ such that $xy \in I $

Indexed unions and definitions

Prove the following is a tautology

Non-technical question about maximum likelihood estimation / intuition

Show that the co-variance is zero between $\bar{Y}$ and $Y_i - \bar{Y}$

Show that as $d$ goes to $\infty$, a standardized version of $X$ has the STD Normal Dist

Algebraically expanding this function

Proving that if $A$ is a non-empty set, then $|A| ≤ |A \times A|$

Exponential probability density functions of independent variables

The Joint Probability Density Function of X & Y is given by....

Maximum Likelihood Estimation

What is the distribution of the average of IID exponential RVs? (have to use MGFs)

Morphing $\beta_1$ into a different form (OLS question in Statistics)

Justifying the Normal Approx to the Binomial Distribution through MGFs

$Z$~$N(0,1)$ relating to the chi square distribution

Books/Review material on infinite cardinality for undergrad

Limits of Integration for marginal pdf

Using Bayes Theorem intuitively without equation (tree-diagrams)

$X$ and $Y$ correlation coefficient of $2/3$ , find $\mathrm{Var}(3X − 5Y+ 7)$

Finding the median value on a probability density function

Consistency of sample variance $S^2$

MLE of uniform distribution

Central Limit Theorem VS Normal Model