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Quantile

Running quantile.

Uses the PĀ² algorithm, which is also known as the "Piecewise-Parabolic quantile estimator". The code is inspired by LiveStat's implementation 2.

Parameters

  • q

    Type ā†’ float

    Default ā†’ 0.5

    Determines which quantile to compute, must be comprised between 0 and 1.

Attributes

  • name

Examples

from river import stats
import numpy as np

np.random.seed(42 * 1337)
mu, sigma = 0, 1
s = np.random.normal(mu, sigma, 500)

median = stats.Quantile(0.5)
for x in s:
   _ = median.update(x)
print(f'The estimated value of the 50th (median) quantile is {median.get():.4f}')
The estimated value of the 50th (median) quantile is -0.0275

print(f'The real value of the 50th (median) quantile is {np.median(s):.4f}')
The real value of the 50th (median) quantile is -0.0135

percentile_17 = stats.Quantile(0.17)
for x in s:
   _ = percentile_17.update(x)
print(f'The estimated value of the 17th quantile is {percentile_17.get():.4f}')
The estimated value of the 17th quantile is -0.8652

print(f'The real value of the 17th quantile is {np.percentile(s,17):.4f}')
The real value of the 17th quantile is -0.9072

Methods

get

Return the current value of the statistic.

update

Update and return the called instance.

Parameters

  • x ā€” 'numbers.Number'