# Questions tagged [quantiles]

The quantiles of a distribution refer to points on its cumulative distribution function. Some common quantiles are quartiles and percentiles.

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### Defining quantiles for complex survey samples

I am looking to accumulate a comprehensive list of definitions for quantiles under complex sampling that have been published or implemented in software. I'm not worrying about the separate problem of ...
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### quantile-quantile plots theoretical z-scores

I looked on stackexchange and didn't not find any answers, hopefully someone can explain this intuitively. In quantile-quantile plots to see if my data is normally distributed, I understand that we ...
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### Summing Differently-Distributed, Correlated Random Variables

I have four mutually correlated time series. Each contains 40 observations but is fundamentally and decisively differently distributed from its peers. The first series follows a Laplace distribution, ...
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### What percentile is the following mark?

$24$ students took a test and they each scored a mark from $0$ to $100$. Gillian scored $71$. $18$ students scored lower than her and $5$ students scored higher than her. Gillian is the $19$th mark. ...
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### Sampling from a continuous 2 dimensional probability distribution function for importance sampling

I just want to clarify a few points with regarding to sampling from a continuous 2-dimensional probability density function. If I want to sample from this pdf, I could sample from a 1D pdf, $P(x)$, ...
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### Deriving Inverse of Cumulative Distribution function [closed]

let $f(x)$ be a probability distribution, and $g(x)$ be the cumulative distribution of that probability distribution (CDF) By definition, CDF is: $g(x)=\int_{-\infty}^{x} f(x) dx$ Given $g(x)$, I ...
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### Generate random dataset from constrained quantile statistics [closed]

In order to study k-nearestneighbors with a more concrete example than the iris dataset with my students, I would like to generate data for age weight sex based on the statistics of [cdc.gov for ...
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