List questions from expectation

335

Views

Finding the expected value of discrete random variable with distribution $f(x) =k(2/3)^x$, $x\in\mathbb N$

Published on 17 Jun 2014 - 3:07

33

Views

Show $P(h(X)\ge a)\ge\frac{E(h(X))-a}{b-a}$

Published on 17 Jun 2014 - 21:07

60

Views

Random variables and integrals

Published on 25 Mar 2026 - 9:22

43

Views

PDF, probability, variance, statis

Published on 18 Jun 2014 - 20:31

99

Views

Are there any cases where $\mathbb E(|X|)<\infty$ and $\mathbb E(X)<\infty$ aren't equivalent?

Published on 20 Jun 2014 - 0:00

101

Views

Given N-distribution, calculate expected value and Var of a function

Published on 20 Jun 2014 - 7:01

258

Views

How do you prove that if $ X_t \sim^{iid} (0,1) $, then $ E(X_t^{2}X_{t-j}^{2}) = E(X_t^{2})E(X_{t-j}^{2})$?

Published on 26 Mar 2026 - 6:15

88

Views

Variance of a continuous and discrete

Published on 21 Jun 2014 - 23:53

214

Views

Proving it's a martingale and more conditions.

Published on 27 Mar 2026 - 18:34

257

Views

Expected value of series of uniformly converges random variables

Published on 27 Mar 2026 - 10:10

273

Views

Measures in conditional expectation.

Published on 22 Jun 2014 - 19:36

716

Views

Conditioning on function of random variable and random variable itself

Published on 23 Jun 2014 - 17:19

82

Views

Is this true: probability independent from i?

Published on 25 Jun 2014 - 5:59

99

Views

Find a sequence of r.v's satisfying the following conditions

Published on 25 Mar 2026 - 23:39

611

Views

Expectation and convolution question.

Published on 26 Mar 2026 - 22:12

List Question

Finding the expected value of discrete random variable with distribution $f(x) =k(2/3)^x$, $x\in\mathbb N$

Show $P(h(X)\ge a)\ge\frac{E(h(X))-a}{b-a}$

Random variables and integrals

PDF, probability, variance, statis

Are there any cases where $\mathbb E(|X|)<\infty$ and $\mathbb E(X)<\infty$ aren't equivalent?

Given N-distribution, calculate expected value and Var of a function

How do you prove that if $ X_t \sim^{iid} (0,1) $, then $ E(X_t^{2}X_{t-j}^{2}) = E(X_t^{2})E(X_{t-j}^{2})$?

Variance of a continuous and discrete

Proving it's a martingale and more conditions.

Expected value of series of uniformly converges random variables

Measures in conditional expectation.

Conditioning on function of random variable and random variable itself

Is this true: probability independent from i?

Find a sequence of r.v's satisfying the following conditions

Expectation and convolution question.

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