List questions from cumulative-distribution-functions

Published on 25 Mar 2026 - 11:08

151

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Why does interval not matter for cdf of continuous random variable?

Published on 25 Mar 2026 - 9:34

74

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Kolmorov-Smirnov bounds in case of non-identically distributed random variables (Dvoretzky–Kiefer–Wolfowitz inequality)

Published on 25 Mar 2026 - 9:39

221

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Carathéodory's extension theorem to extend CDF $F_X$ to a probability measure $\mathbb{P}_X$

Published on 25 Mar 2026 - 9:38

206

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Defining inverse of CDF: two alternatives

Published on 25 Mar 2026 - 9:38

191

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Integral related to the incomplete beta function

Published on 25 Mar 2026 - 9:34

115

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Number of Decreasing Steps in a Permutation

Published on 25 Mar 2026 - 9:35

264

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Cumulative distribution function of the median

Published on 25 Mar 2026 - 9:36

614

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Is my distribution function strictly increasing?

Published on 25 Mar 2026 - 12:47

74

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Correctly expressing conditional cdf

Published on 25 Mar 2026 - 11:08

34

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How to show that $F(s) = E\left ( 1 \left \{ y \leq s \right \} \right )$?

Published on 25 Mar 2026 - 9:38

25

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Easiness of modeling a synthetic distribution using linear splines

Published on 25 Mar 2026 - 9:38

795

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Calculating $c$ in a piecewise cumulative distribution function

Published on 25 Mar 2026 - 9:33

1.1k

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If $X$ has CDF $F$, find the CDF of $Y=X^2$

Published on 25 Mar 2026 - 9:43

33

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FInd CDF of $X$ if: $P(X<1)=P(X>2)=0, P(X=1)=P(X=2),P(a<X<b)=\tfrac{b^3-a^3}{14}$ for $1\leq a<b\leq2$

Published on 25 Mar 2026 - 9:43

List Question

Need help changing probability mass function to another probability density function

Why does interval not matter for cdf of continuous random variable?

Kolmorov-Smirnov bounds in case of non-identically distributed random variables (Dvoretzky–Kiefer–Wolfowitz inequality)

Carathéodory's extension theorem to extend CDF $F_X$ to a probability measure $\mathbb{P}_X$

Defining inverse of CDF: two alternatives

Integral related to the incomplete beta function

Number of Decreasing Steps in a Permutation

Cumulative distribution function of the median

Is my distribution function strictly increasing?

Correctly expressing conditional cdf

How to show that $F(s) = E\left ( 1 \left \{ y \leq s \right \} \right )$?

Easiness of modeling a synthetic distribution using linear splines

Calculating $c$ in a piecewise cumulative distribution function

If $X$ has CDF $F$, find the CDF of $Y=X^2$

FInd CDF of $X$ if: $P(X<1)=P(X>2)=0, P(X=1)=P(X=2),P(a<X<b)=\tfrac{b^3-a^3}{14}$ for $1\leq a<b\leq2$

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