PHP Class MathPHP\Statistics\Regression\LOESS

A non-parametric method for fitting a smooth curve between two variables. https://en.wikipedia.org/wiki/Local_regression

Inheritance: extends NonParametricRegression, use trait MathPHP\Statistics\Regression\Methods\WeightedLeastSquares

Mostra file Open project: markrogoyski/math-php

Protected Properties

Property	Type	Description
$number_of_points	number	Number of points considered in the local regression
$α	number	Smoothness parameter
$λ	integer	Order of the polynomial fit

Public Methods

Method	Description
__construct ( array $points, number $α, integer $λ )
evaluate ( number $x ) : number	Evaluate for x Use the smoothness parameter α to determine the subset of data to consider for local regression. Perform a weighted least squares regression and evaluate x.

Method Details

__construct() public method

public __construct ( array $points, number $α, integer $λ )
$points	array	[ [x, y], [x, y], ... ]
$α	number	Smoothness parameter (bandwidth) Determines how much of the data is used to fit each local polynomial ((λ + 1) / n, 1]
$λ	integer	Order of the polynomial to fit

evaluate() public method

Evaluate for x Use the smoothness parameter α to determine the subset of data to consider for local regression. Perform a weighted least squares regression and evaluate x.

public evaluate ( number $x ) : number
$x	number
return	number

Property Details

$number_of_points protected_oe property

Number of points considered in the local regression

protected number $number_of_points
return	number

$α protected_oe property

Smoothness parameter

protected number $α
return	number

$λ protected_oe property

Order of the polynomial fit

protected int $λ
return	integer