pub struct Kurtosis { /* private fields */ }Expand description
Rolling excess kurtosis of the last period values.
mean = (1/n) · Σ x
m2 = (1/n) · Σ (x − mean)²
m4 = (1/n) · Σ (x − mean)⁴
Kurtosis = m4 / m2² − 3The unshifted kurtosis m4 / m2² equals 3 for the normal distribution;
subtracting 3 gives excess kurtosis so that 0 is the Gaussian
baseline. Positive readings flag fat tails (heavy outliers compared to
normal); negative readings flag light tails (more concentrated than
normal). This is the population definition with divisor n. A window
with zero dispersion yields 0.
Each update is O(1): four running sums (Σ x, Σ x², Σ x³, Σ x⁴)
are maintained as the window slides; the central moments are derived
from them via the binomial-expansion identities, so no inner loop runs
per bar.
§Example
use wickra_core::{Indicator, Kurtosis};
let mut indicator = Kurtosis::new(20).unwrap();
let mut last = None;
for i in 0..40 {
last = indicator.update(f64::from(i));
}
assert!(last.is_some());Implementations§
Trait Implementations§
Source§impl Indicator for Kurtosis
impl Indicator for Kurtosis
Source§fn update(&mut self, value: f64) -> Option<f64>
fn update(&mut self, value: f64) -> Option<f64>
Feed one new data point into the indicator and return the freshly computed
output, or
None if the indicator is still warming up.Source§fn reset(&mut self)
fn reset(&mut self)
Reset all internal state, leaving the indicator equivalent to a freshly
constructed instance with the same parameters.
Source§fn warmup_period(&self) -> usize
fn warmup_period(&self) -> usize
Number of inputs required before the first non-
None output can be produced.Auto Trait Implementations§
impl Freeze for Kurtosis
impl RefUnwindSafe for Kurtosis
impl Send for Kurtosis
impl Sync for Kurtosis
impl Unpin for Kurtosis
impl UnsafeUnpin for Kurtosis
impl UnwindSafe for Kurtosis
Blanket Implementations§
Source§impl<T> BatchExt for Twhere
T: Indicator,
impl<T> BatchExt for Twhere
T: Indicator,
Source§fn batch(&mut self, inputs: &[Self::Input]) -> Vec<Option<Self::Output>>
fn batch(&mut self, inputs: &[Self::Input]) -> Vec<Option<Self::Output>>
Run the indicator over a slice of inputs in order, returning one output (or
None during warmup) per input.Source§impl<T> BatchNanExt for T
impl<T> BatchNanExt for T
Source§impl<T> BorrowMut<T> for Twhere
T: ?Sized,
impl<T> BorrowMut<T> for Twhere
T: ?Sized,
Source§fn borrow_mut(&mut self) -> &mut T
fn borrow_mut(&mut self) -> &mut T
Mutably borrows from an owned value. Read more
Source§impl<T> CloneToUninit for Twhere
T: Clone,
impl<T> CloneToUninit for Twhere
T: Clone,
Source§impl<T> IntoEither for T
impl<T> IntoEither for T
Source§fn into_either(self, into_left: bool) -> Either<Self, Self>
fn into_either(self, into_left: bool) -> Either<Self, Self>
Converts
self into a Left variant of Either<Self, Self>
if into_left is true.
Converts self into a Right variant of Either<Self, Self>
otherwise. Read moreSource§fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
Converts
self into a Left variant of Either<Self, Self>
if into_left(&self) returns true.
Converts self into a Right variant of Either<Self, Self>
otherwise. Read more