p-quantiles
- is a type of Variation
- (p - 1) points that divide the range of a probability distribution into p continuous intervals with EQUAL probabilities
- (p - 1) points that divide the points into p equally sized groups (e.g. median is a 2-quantile where it divides the data set into 2 equally sized groups)
p-Quantiles - Types
|
Types |
population parameter |
sample statistic |
description |
|---|---|---|---|
|
p-quantiles |
𝑞𝑝 |
𝑞̂𝑝 |
of a domain divided into 𝑝 equal groups |
|
𝑀 |
𝑀̅ |
of a domain divided into 2 equal groups | |
|
𝑄1, 𝑄2, 𝑄3 |
𝑄̅1, 𝑄̅2, 𝑄̅3 |
of a domain divided into 4 equal groups | |
|
𝜋1, 𝜋1, …, 𝜋99 |
𝜋̂1, 𝜋̂1, …, 𝜋̂99 |
of a domain divided into 100 equal groups |