Question

Show that the family of beta distributions where parameters $α$ and $β$ are unknown is an exponential family.

score 1.7k · Answer 1 · 2026-03-25 15:12:12

1.7k

Views

Show that the family of beta distributions where parameters $α$ and $β$ are unknown is an exponential family.

Published on 25 Mar 2026 - 15:12

score 75 · Answer 2 · 2026-03-22 04:09:48

75

Views

Find the pdf of Z=X/(1+Y)

Published on 22 Mar 2026 - 4:09

score 146 · Answer 3 · 2026-03-22 03:43:21

146

Views

Show that $P(N \geq n) = (1-e^{-\lambda})^n/ \lambda^n $

Published on 22 Mar 2026 - 3:43

score 187 · Answer 4 · 2026-03-21 11:05:50

187

Views

Let $X\sim Poi(10) $ and $Y \sim exp(\frac{1}{10})$ independent. Why $P(X+Y\leq\frac{3}{2}) = P(X=0, Y \leq \frac{3}{2}) + P(X=1,Y\leq \frac {1}{2})$?

Published on 21 Mar 2026 - 11:05

score 779 · Answer 5 · 2026-03-22 12:47:22

779

Views

Computing pmf and cdf for a function of an exponential random variable

Published on 22 Mar 2026 - 12:47

score 454 · Answer 6 · 2026-03-22 12:20:03

454

Views

Poisson Variable with an Exponential Parameter becoming a Geometric Distribution?

Published on 22 Mar 2026 - 12:20

score 70 · Answer 7 · 2026-03-22 00:40:06

70

Views

CDF of $Z=X_1+\max\{X_2,\,X_3\}$

Published on 22 Mar 2026 - 0:40

score 381 · Answer 8 · 2026-03-22 04:07:17

381

Views

Equivalence between exponential clocks that ring in different ways

Published on 22 Mar 2026 - 4:07

score 1.6k · Answer 9 · 2026-03-21 16:48:31

1.6k

Views

Exponential Distribution Lifetime of a Lightbulb - Is my solution correct?

Published on 21 Mar 2026 - 16:48

score 131 · Answer 10 · 2026-03-22 14:36:01

131

Views

What is the expected delay between the grey buses?

Published on 22 Mar 2026 - 14:36

score 219 · Answer 11 · 2026-03-21 20:01:39

219

Views

Exponential distribution problem finding probabilities

Published on 21 Mar 2026 - 20:01

score 105 · Answer 12 · 2026-03-21 22:33:15

105

Views

Find $\mathbb{E}(h(X) \mid U)$ where $h$ is measurable, $X, Y$ are independent and $U = \max(X,Y)$

Published on 21 Mar 2026 - 22:33

score 76 · Answer 13 · 2026-03-22 07:03:09

76

Views

If $X\sim\text{Exp}(\lambda)$, then $\textbf{E}(X^{n}) = \displaystyle n\textbf{E}(X^{n-1})/\lambda$

Published on 22 Mar 2026 - 7:03

score 79 · Answer 14 · 2026-03-22 14:48:25

79

Views

Calculate the confidence interval of parameter of exponential distribution with summarySE in R?

Published on 22 Mar 2026 - 14:48

score 23 · Answer 15 · 2026-03-25 20:33:54

23

Views

Density Function of Series Connection

Published on 25 Mar 2026 - 20:33

List Question

Show that the family of beta distributions where parameters $α$ and $β$ are unknown is an exponential family.

Find the pdf of Z=X/(1+Y)

Show that $P(N \geq n) = (1-e^{-\lambda})^n/ \lambda^n $

Let $X\sim Poi(10) $ and $Y \sim exp(\frac{1}{10})$ independent. Why $P(X+Y\leq\frac{3}{2}) = P(X=0, Y \leq \frac{3}{2}) + P(X=1,Y\leq \frac {1}{2})$?

Computing pmf and cdf for a function of an exponential random variable

Poisson Variable with an Exponential Parameter becoming a Geometric Distribution?

CDF of $Z=X_1+\max\{X_2,\,X_3\}$

Equivalence between exponential clocks that ring in different ways

Exponential Distribution Lifetime of a Lightbulb - Is my solution correct?

What is the expected delay between the grey buses?

Exponential distribution problem finding probabilities

Find $\mathbb{E}(h(X) \mid U)$ where $h$ is measurable, $X, Y$ are independent and $U = \max(X,Y)$

If $X\sim\text{Exp}(\lambda)$, then $\textbf{E}(X^{n}) = \displaystyle n\textbf{E}(X^{n-1})/\lambda$

Calculate the confidence interval of parameter of exponential distribution with summarySE in R?

Density Function of Series Connection

Trending Questions

Popular # Hahtags

Popular Questions