List questions from cumulative-distribution-functions

Published on 13 Apr 2022 - 1:36

78

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How can $ P\big(|X_n| \geq \varepsilon\big) \leq P\big(\big|X_n-\frac{1}{n}\big| \geq \varepsilon+\frac{1}{n}\big) $?

Published on 22 Apr 2022 - 22:39

122

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Find $E(Y)$ such that $F_Y(y)= (1 - 0. 3e^{−0.5} + 0. 6e^{−0.25y})$

Published on 23 Apr 2022 - 17:20

20

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Probability problem with Setting up Fz(z) with the jointly continuous density

Published on 02 May 2022 - 1:28

111

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Find density functions of $Z=Y-X$ when the joint density function is known.

Published on 04 May 2022 - 10:10

696

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calculation of $E[\Phi(X)]$

Published on 04 May 2022 - 16:55

206

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What is the counterpart for cdf in measure theory?

Published on 06 May 2022 - 23:25

80

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Prove that $F$ (the cumulative distribution function) has at most a countable number of discontinuities.

Published on 13 May 2022 - 23:07

54

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Monte Carlo estimation of this probability

Published on 14 May 2022 - 21:07

30

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How to prove an inequality involving second moments and inverse distribution functions

Published on 25 Mar 2026 - 7:45

757

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Finding the best formula for this case lottery algorithm?

Published on 23 Feb 2026 - 21:19

19

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How to find PDF of a random variable when it is squared and multiplied by constant?

Published on 23 May 2022 - 14:58

104

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Let $X_1, X_2, \dots, X_n$ be i.i.d RV's and define $Y_n=\frac{S_n}{n}:=\frac{1}{n}\sum_k X_k$, compute $\lim_{n\to\infty}F_{Y_n}(t)$, for $t\neq 0$.

Published on 27 May 2022 - 7:59

71

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CDF of squared Euclidean Norm of Rayleigh random vector

Published on 30 May 2022 - 11:02

82

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Expectation of continuous variable

Published on 31 May 2022 - 2:19

List Question

cumulative distribution function of special random variable

How can $ P\big(|X_n| \geq \varepsilon\big) \leq P\big(\big|X_n-\frac{1}{n}\big| \geq \varepsilon+\frac{1}{n}\big) $?

Find $E(Y)$ such that $F_Y(y)= (1 - 0. 3e^{−0.5} + 0. 6e^{−0.25y})$

Probability problem with Setting up Fz(z) with the jointly continuous density

Find density functions of $Z=Y-X$ when the joint density function is known.

calculation of $E[\Phi(X)]$

What is the counterpart for cdf in measure theory?

Prove that $F$ (the cumulative distribution function) has at most a countable number of discontinuities.

Monte Carlo estimation of this probability

How to prove an inequality involving second moments and inverse distribution functions

Finding the best formula for this case lottery algorithm?

How to find PDF of a random variable when it is squared and multiplied by constant?

Let $X_1, X_2, \dots, X_n$ be i.i.d RV's and define $Y_n=\frac{S_n}{n}:=\frac{1}{n}\sum_k X_k$, compute $\lim_{n\to\infty}F_{Y_n}(t)$, for $t\neq 0$.

CDF of squared Euclidean Norm of Rayleigh random vector

Expectation of continuous variable

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