List questions from quantile

Published on 17 Apr 2026 - 2:50

790

Views

Show that if the inverse cumulative distribution function is continuous, it is invertible

Published on 04 May 2026 - 12:36

188

Views

If $F$ is a distribution function and $t>0$, can we show that $F(F^{-1}(t))\ge t$?

Published on 06 May 2026 - 6:57

125

Views

If $F$ is a distribution function and $x_0\in F^{-1}([0,1])$, can we characterize $\left\{t\in[0,1]:F^{-1}(t)=x_0\right\}$?

Published on 04 May 2026 - 12:44

418

Views

Finding Quantile Function from CDF

Published on 01 Apr 2026 - 6:59

184

Views

Finding quartile of normal distribution

Published on 25 Mar 2026 - 9:31

93

Views

cumulative distribution function, inverse and quantile

Published on 25 Mar 2026 - 9:32

115

Views

quantiles of a monotonic function of two independent R.V.s

Published on 25 Mar 2026 - 9:27

1.8k

Views

Calculating quantiles of weighted array

Published on 01 Apr 2026 - 16:39

32

Views

On describing percentiles within quartiles

Published on 25 Mar 2026 - 9:31

1.5k

Views

Notation for a set of quantiles

Published on 01 Apr 2026 - 7:58

224

Views

Upper bound for distance between actual and sample quantiles

Published on 25 Mar 2026 - 9:25

360

Views

CDF and Quantile Function

Published on 01 Apr 2026 - 9:21

60

Views

How to prove that sample of size $O(\epsilon^{-2} log \delta^{-1})$ is enough to predict quantiles?

Published on 25 Mar 2026 - 9:28

513

Views

Sample quantile of order p

Published on 10 May 2026 - 9:39

List Question

Quantile function of log-normal distribution

Show that if the inverse cumulative distribution function is continuous, it is invertible

If $F$ is a distribution function and $t>0$, can we show that $F(F^{-1}(t))\ge t$?

If $F$ is a distribution function and $x_0\in F^{-1}([0,1])$, can we characterize $\left\{t\in[0,1]:F^{-1}(t)=x_0\right\}$?

Finding Quantile Function from CDF

Finding quartile of normal distribution

cumulative distribution function, inverse and quantile

quantiles of a monotonic function of two independent R.V.s

Calculating quantiles of weighted array

On describing percentiles within quartiles

Notation for a set of quantiles

Upper bound for distance between actual and sample quantiles

CDF and Quantile Function

How to prove that sample of size $O(\epsilon^{-2} log \delta^{-1})$ is enough to predict quantiles?

Sample quantile of order p

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