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WeightedChiSquareTerm

Struct WeightedChiSquareTerm 

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pub struct WeightedChiSquareTerm {
    pub weight: f64,
    pub degrees_of_freedom: f64,
}
Expand description

One λ_j · χ²_{h_j} term of a linear combination of independent chi-squares, with the weight’s SIGN and the term’s degrees of freedom both carried explicitly.

Two things separate this from the &[f64] weight list weighted_chi_square_sf takes, and each of them is a distribution the one-degree-of-freedom non-negative form cannot express:

  • A negative weight makes a RATIO a tail. P(A/B > t) for independent non-negative A, B is P(A − tB > 0), so every F-shaped reference — any statistic whose scale was estimated from the same data — is a signed combination evaluated at zero. The classical F_{a,b} is the two-term case λ = (1, −t·a/b), h = (a, b).
  • A multiplicity is not h copies of a weight. It is, mathematically, but the Imhof integrand costs one atan and one ln per TERM, and a residual sum of squares carries n − p unit weights. Folding them into one term with h = n − p is what makes an n-sized reference cost the same as a p-sized one.

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§weight: f64

λ_j, of either sign. A zero weight contributes nothing and is dropped.

§degrees_of_freedom: f64

h_j > 0. Real rather than integral: a two-moment summary of a spectrum is a chi-square with a fractional shape, and this type is what carries it.

Trait Implementations§

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impl Clone for WeightedChiSquareTerm

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fn clone(&self) -> WeightedChiSquareTerm

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Copy for WeightedChiSquareTerm

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impl Debug for WeightedChiSquareTerm

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
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impl PartialEq for WeightedChiSquareTerm

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fn eq(&self, other: &WeightedChiSquareTerm) -> bool

Equality operator ==. Read more
1.0.0 (const: unstable) · Source§

fn ne(&self, other: &Rhs) -> bool

Inequality operator !=. Read more
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impl StructuralPartialEq for WeightedChiSquareTerm

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impl<T> Any for T
where T: 'static + ?Sized,

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Gets the TypeId of self. Read more
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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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type Output = T

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Checks if self is actually part of its subset T (and can be converted to it).
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