LegNorm: Evaluating Legendre's Polynomials of Degree 1, 2, 3, or 4

In MissMech: Testing Homoscedasticity, Multivariate Normality, and Missing Completely at Random

Evaluating Legendre's Polynomials of Degree 1, 2, 3, or 4

Description

This function evaluates the values of Legendre polynomials of degrees 1 to 4 on [0,1] at a value(s) x.

Usage

LegNorm(x)

Arguments

x	A scaler or vector of values at which the Legendre's ploynomials are to be evaluated.

Value

The returned list has the following elements:

p1	p1 is value(s) of the Legendre's polynomial of degree 1 at x
p2	p2 is value(s) of the Legendre's polynomial of degree 2 at x
p3	p3 is value(s) of the Legendre's polynomial of degree 3 at x
p4	p4 is value(s) of the Legendre's polynomial of degree 4 at x

Note

Legendre's polynomias on [0,1] are calculated.

Author(s)

Mortaza Jamshidian, Siavash Jalal, and Camden Jansen

References

David, F. N. (1939). “On Neyman's "smooth" test for goodness of fit: I. Distribution of the criterion Psi2 when the hypothesis tested is true,” Biometrika, 31, 191-199, \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1093/biomet/31.1-2.191")}.

Examples

p <- LegNorm(c(5.2,11,15))
p$p3

MissMech documentation built on May 29, 2024, 11:57 a.m.