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StandardErrorBands

Struct StandardErrorBands 

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pub struct StandardErrorBands { /* private fields */ }
Expand description

Standard Error Bands: linear-regression line wrapped by the standard error of the fit.

fit y = a + b·x by OLS over the last `period` closes
residual_i = y_i − (a + b · x_i)
stderr     = sqrt( Σ residual_i² / (period − 2) )   // OLS standard error
middle     = a + b · (period − 1)
upper      = middle + multiplier · stderr
lower      = middle − multiplier · stderr

Standard Error Bands and LinRegChannel both wrap an OLS endpoint, but use different denominators for the dispersion statistic:

  • The LinReg Channel uses the population standard deviation of the residuals (denominator n).
  • Standard Error Bands use the OLS standard error (denominator n − 2, one degree of freedom for the slope and one for the intercept).

The n − 2 divisor produces a slightly wider channel and is the statistically-correct band-width when the regression is interpreted as a prediction interval. Jon Andersen’s original publication pairs the bands with a default multiplier = 2.0 and a 3-bar SMA smoothing of all three outputs; this implementation reports the raw bands so callers can pipe them through their own smoother (e.g. Sma::new(3)).

§Example

use wickra_core::{Indicator, StandardErrorBands};

let mut indicator = StandardErrorBands::new(21, 2.0).unwrap();
let mut last = None;
for i in 0..40 {
    last = indicator.update(100.0 + f64::from(i));
}
assert!(last.is_some());

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impl StandardErrorBands

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pub fn new(period: usize, multiplier: f64) -> Result<Self>

§Errors

Returns Error::InvalidPeriod if period < 3 (the n − 2 denominator requires at least 3 points) and Error::NonPositiveMultiplier if multiplier is not strictly positive and finite.

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pub const fn period(&self) -> usize

Configured period.

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pub const fn multiplier(&self) -> f64

Configured multiplier.

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impl Clone for StandardErrorBands

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fn clone(&self) -> StandardErrorBands

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 Debug for StandardErrorBands

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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 Indicator for StandardErrorBands

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type Input = f64

Type of one input data point (typically f64 for a price, or Candle / Tick).
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type Output = StandardErrorBandsOutput

Type of one output value.
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fn update(&mut self, value: f64) -> Option<StandardErrorBandsOutput>

Feed one new data point into the indicator and return the freshly computed output, or None if the indicator is still warming up.
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fn reset(&mut self)

Reset all internal state, leaving the indicator equivalent to a freshly constructed instance with the same parameters.
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fn warmup_period(&self) -> usize

Number of inputs required before the first non-None output can be produced.
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fn is_ready(&self) -> bool

Whether the indicator has emitted at least one value since the last reset.
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fn name(&self) -> &'static str

Stable, human-readable indicator name. Used by chaining and diagnostics.

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Blanket Implementations§

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

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> BatchExt for T
where T: Indicator,

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fn batch(&mut self, inputs: &[Self::Input]) -> Vec<Option<Self::Output>>
where Self::Input: Clone,

Run the indicator over a slice of inputs in order, returning one output (or None during warmup) per input.
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fn batch_parallel<F>( inputs_per_asset: &[Vec<Self::Input>], make: F, ) -> Vec<Vec<Option<Self::Output>>>
where Self: Sized + Send, Self::Input: Sync + Clone, Self::Output: Send, F: Fn() -> Self + Sync + Send,

Available on crate feature parallel only.
Run an independent copy of the indicator over each input series in parallel. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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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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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

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

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impl<T> IntoEither for T

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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 more
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fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

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
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impl<T> Pointable for T

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const ALIGN: usize

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.