In statistics and probability, quantiles are cut points dividing the range of a probability distribution into continuous intervals with equal probabilities...

plot (quantile–quantile plot) is a probability plot, a graphical method for comparing two probability distributions by plotting their quantiles against...

In probability and statistics, the quantile function is a function Q : [ 0 , 1 ] ↦ R {\displaystyle Q:[0,1]\mapsto \mathbb {R} } which maps some probability...

Quantile regression is a type of regression analysis used in statistics and econometrics. Whereas the method of least squares estimates the conditional...

In statistics, quantile normalization is a technique for making two distributions identical in statistical properties. To quantile-normalize a test distribution...

In statistics, quartiles are a type of quantiles which divide the number of data points into four parts, or quarters, of more-or-less equal size. The...

Quantile Regression Averaging (QRA) is a forecast combination approach to the computation of prediction intervals. It involves applying quantile regression...

A quantile-parameterized distribution (QPD) is a probability distributions that is directly parameterized by data. They were created to meet the need for...

{\displaystyle F(x)=p} . This defines the inverse distribution function or quantile function. Some distributions do not have a unique inverse (for example...

{e^{-n^{2}/2}}{n{\sqrt {\pi /2}}}}} . The quantile function of a distribution is the inverse of the cumulative distribution function. The quantile function of the standard...

function of those values; less commonly, the conditional median or some other quantile is used. Like all forms of regression analysis, linear regression focuses...

In statistics, the logit (/ˈloʊdʒɪt/ LOH-jit) function is the quantile function associated with the standard logistic distribution. It has many uses in...

expected value of the distribution in a way analogous to that in which the quantiles of the distribution are related to the median. For τ ∈ ( 0 , 1 ) {\textstyle...

statistic that can be used in conjunction with the histogram and the normal quantile plot to characterize the data or distribution. Skewness indicates the direction...

function (quantile function) of the logistic distribution is a generalization of the logit function. Its derivative is called the quantile density function...

k , b ) = 1 − e − b x k , {\displaystyle F(x;k,b)=1-e^{-bx^{k}},} the quantile function is Q ( p ; k , b ) = ( − 1 b ln ⁡ ( 1 − p ) ) 1 k , {\displaystyle...

of the Q–Q probability plot for a normal distribution. The theoretical quantiles are generally chosen to approximate either the mean or the median of the...

the median is of central importance in robust statistics. Median is a 2-quantile; it is the value that partitions a set into two equal parts. The median...

valid, with the only exception that the quantile t*n−2 of Student's t distribution is replaced with the quantile q* of the standard normal distribution...

represents 1/10 of the sample or population. A decile is one possible form of a quantile; others include the quartile and percentile. A decile rank arranges the...

distribution function of the standard normal distribution. The formula for the quantile function is G ( p ) = 1 4 [ γ Φ − 1 ( p ) + 4 + ( γ Φ − 1 ( p ) ) 2 ] 2...

The Thyroid Feedback Quantile-based Index (TFQI) is a calculated parameter for thyrotropic pituitary function. It was defined to be more robust to distorted...

ease of fitting to data with linear least squares; simple, closed-form quantile function (inverse CDF) equations that facilitate simulation; a simple,...

some qualifications discussed below) the sample median and other sample quantiles. When using probability theory to analyze order statistics of random samples...

different procedures to estimate alternative location parameters (e.g., quantile regression or Necessary Condition Analysis) or estimate the conditional...

continuous probability distribution that has a constant failure rate. The quantile function (inverse cumulative distribution function) for Exp(λ) is F − 1...

1947) is an American econometrician mostly known for his contributions to quantile regression. He is currently a Honorary Professor of Economics at University...

This set always contains the mode. A quantile-based credible interval, which is computed by taking the inter-quantile interval [ q δ , q δ + γ ] {\displaystyle...

to doing weighted mean absolute error (MAE) regression, also known as quantile regression. This property is trivial since g ^ MAPE ( x ) = arg ⁡ min g...

In descriptive statistics, a box plot or boxplot is a method for demonstrating graphically the locality, spread and skewness groups of numerical data through...