User David

1

3

votes

1

answer

36

views

Probability that amoeba population dies out completely - why can't the probability be 1?

probability expected-value

Sep 10 at 5:04 David 453

3

votes

1

answer

107

views

Correlation between 2 random variables and $\cos(\theta)$ on vector space

vector-spaces random-variables covariance correlation

Jul 24 at 23:38 Anatoly 15.9k

1

3

votes

1

answer

1k

views

Lagrange polynomial in 3-D. Variable of interest is a vector.

lagrange-interpolation

Jan 16 '17 at 1:09 spektr 509

2

votes

0

answers

45

views

How to derive a generic formula for $\sum_{k=0}^n k^p$ for any $p$? [duplicate]

sequences-and-series

Aug 19 at 16:06 Shubhrajit Bhattacharya 4,895

2

votes

1

answer

45

views

$f_X(x) \neq \frac{2 \pi \sqrt{R^2 - x^2}}{4\pi R^2}$? $X$ belongs to points uniformly distributed on the surface of a sphere.

probability

Aug 12 at 19:32 heropup 87.8k

2

votes

3

answers

62

views

How to seat $n$ people in $n$ seats if each person must take a seat next to an already sitting person?

combinatorics

Jul 26 at 19:23 Brian M. Scott 538k

2

votes

2

answers

65

views

Maximizing the quantity $f = -20p\cdot q + 9p + 9q$

calculus optimization

Jul 19 at 20:23 Shiv Tavker 1,195

2

votes

2

answers

41

views

What is the difference between $P(S = s, N = n )$ vs $P(S = s | N =n)$

probability conditional-probability

Jul 4 at 5:24 Shubham Johri 12.5k

1

2

votes

1

answer

50

views

Expected number of tosses of getting $n$ heads in a row

conditional-expectation expected-value

May 12 at 2:41 WhatsUp 12.8k

2

votes

1

answer

54

views

Why is $\operatorname{Var}(X_{(1)}) = \operatorname{Var}(X_{(n)})$ for i.i.d $X_1, \ldots, X_n \sim U(0,1)$?

probability expected-value uniform-distribution variance order-statistics

May 10 at 7:42 StubbornAtom 12.3k

1

vote

2

answers

59

views

How to factor $ 1 - 3x + x^2 + x^3$?

polynomials factoring

Sep 10 at 5:32 Shivering Soldier 10.3k

1

vote

2

answers

32

views

Ball painting probability

probability

Jul 30 at 5:51 Rezha Adrian Tanuharja 5,463

1

vote

3

answers

63

views

Probability that $\max(X_1, \ldots, X_n) - \min(X_1, \ldots, X_n) \leq 0.5$

probability uniform-distribution order-statistics

Jul 22 at 4:44 Graham Kemp 108k

1

vote

1

answer

24

views

Maximum likelihood estimation steps

probability maximum-likelihood

Jul 19 at 4:46 Bey 303

1

vote

1

answer

69

views

Why does law of large numbers require the independence in IID?

probability-theory independence probability-limit-theorems law-of-large-numbers

Jul 18 at 20:46 StubbornAtom 12.3k

1

vote

1

answer

26

views

How does $r$ for univariate regression relate to the general definition of $R^2$?

regression least-squares correlation

Jun 28 at 23:24 V. Vancak 13.3k

1

vote

1

answer

26

views

Probability of choosing an edge twice in a tetrahedron

probability conditional-probability

Jun 5 at 3:11 Brian M. Scott 538k

1

vote

1

answer

15

views

If event $A$ happens with probability $p$, then when is event $B$ guaranteed to not be mutually exclusive with $A$?

probability inclusion-exclusion

May 4 at 21:17 Robert Israel 395k

1

vote

3

answers

68

views

jointly discrete continuous & discrete probability - conditioning on a range

probability conditional-probability

Mar 31 at 1:00 spektr 509

1

vote

1

answer

44

views

Expected number of tosses to get 2 heads in a row - what is wrong with my approach?

probability

Mar 27 at 20:37 Ross Millikan 347k

1

vote

0

answers

79

views

Order of accuracy of least squares for computing gradients

numerical-methods least-squares standard-error truncation-error

May 3 '18 at 20:38 David 453

0

votes

1

answer

19

views

Why is a Martingale defined as a discrete process where the conditional expected value of the next observation is equal to the previous?

stochastic-processes expected-value conditional-expectation martingales

Oct 4 at 20:51 GEdgar 81.2k

0

votes

1

answer

56

views

Where did the $(-1)^n$ in $\det(A - \lambda I)$ come from?

linear-algebra eigenvalues-eigenvectors

Sep 10 at 6:21 Joshua P. Swanson 3,301

1

0

votes

1

answer

39

views

n-th order polynomial written as a function of its roots

linear-algebra polynomials eigenvalues-eigenvectors roots

Sep 10 at 3:28 Robert Israel 395k

0

votes

1

answer

57

views

Can the mean of 2 consecutive prime numbers be prime?

prime-numbers

Aug 21 at 17:56 Telastyn 131

0

votes

1

answer

40

views

Positive semi definite hessian at a critical point

calculus maxima-minima

Aug 21 at 17:19 Alex 362

0

votes

0

answers

15

views

Proving covariance matrix is SPD (without the typical method using norms)

covariance positive-semidefinite

Aug 15 at 5:47 Michael Hardy 244k

0

votes

0

answers

29

views

Sampling points uniformly inside a sphere; marginal distribution of the dimensions

probability-distributions sampling

Aug 10 at 2:49 David 453

0

votes

2

answers

37

views

Number of ways to distribute 13 (out of 52) cards to 4 indistinguishable players.

combinatorics permutations

Jul 25 at 21:50 YJT 3,354

0

votes

2

answers

62

views

How find the solution to $ \sum_{i=1}^{\infty} \left( \frac{1}{2} \right)^i \left( \frac{1}{i}\right)$?

sequences-and-series

Jul 25 at 4:34 OlympusHero 107

Stack Exchange Network

current community

your communities

more stack exchange communities

Next privilege

Next badge

49 Questions

Probability that amoeba population dies out completely - why can't the probability be 1?

Correlation between 2 random variables and $\cos(\theta)$ on vector space

Lagrange polynomial in 3-D. Variable of interest is a vector.

How to derive a generic formula for $\sum_{k=0}^n k^p$ for any $p$? [duplicate]

$f_X(x) \neq \frac{2 \pi \sqrt{R^2 - x^2}}{4\pi R^2}$? $X$ belongs to points uniformly distributed on the surface of a sphere.

How to seat $n$ people in $n$ seats if each person must take a seat next to an already sitting person?

Maximizing the quantity $f = -20p\cdot q + 9p + 9q$

What is the difference between $P(S = s, N = n )$ vs $P(S = s | N =n)$

Expected number of tosses of getting $n$ heads in a row

Why is $\operatorname{Var}(X_{(1)}) = \operatorname{Var}(X_{(n)})$ for i.i.d $X_1, \ldots, X_n \sim U(0,1)$?

How to factor $ 1 - 3x + x^2 + x^3$?

Ball painting probability

Probability that $\max(X_1, \ldots, X_n) - \min(X_1, \ldots, X_n) \leq 0.5$

Maximum likelihood estimation steps

Why does law of large numbers require the independence in IID?

How does $r$ for univariate regression relate to the general definition of $R^2$?

Probability of choosing an edge twice in a tetrahedron

If event $A$ happens with probability $p$, then when is event $B$ guaranteed to not be mutually exclusive with $A$?

jointly discrete continuous & discrete probability - conditioning on a range

Expected number of tosses to get 2 heads in a row - what is wrong with my approach?

Order of accuracy of least squares for computing gradients

Why is a Martingale defined as a discrete process where the conditional expected value of the next observation is equal to the previous?

Where did the $(-1)^n$ in $\det(A - \lambda I)$ come from?

n-th order polynomial written as a function of its roots

Can the mean of 2 consecutive prime numbers be prime?

Positive semi definite hessian at a critical point

Proving covariance matrix is SPD (without the typical method using norms)

Sampling points uniformly inside a sphere; marginal distribution of the dimensions

Number of ways to distribute 13 (out of 52) cards to 4 indistinguishable players.

How find the solution to $ \sum_{i=1}^{\infty} \left( \frac{1}{2} \right)^i \left( \frac{1}{i}\right)$?