pub struct Erlang { /* private fields */ }
Expand description
Implements the Erlang
distribution
which is a special case of the
Gamma
distribution
use statrs::distribution::{Erlang, Continuous};
use statrs::statistics::Distribution;
use statrs::prec;
let n = Erlang::new(3, 1.0).unwrap();
assert_eq!(n.mean().unwrap(), 3.0);
assert!(prec::almost_eq(n.pdf(2.0), 0.270670566473225383788, 1e-15));
Constructs a new erlang distribution with a shape (k)
of shape and a rate (λ) of rate
Returns an error if shape or rate are NaN.
Also returns an error if shape == 0 or rate <= 0.0
use statrs::distribution::Erlang;
let mut result = Erlang::new(3, 1.0);
assert!(result.is_ok());
result = Erlang::new(0, 0.0);
assert!(result.is_err());
Returns the shape (k) of the erlang distribution
use statrs::distribution::Erlang;
let n = Erlang::new(3, 1.0).unwrap();
assert_eq!(n.shape(), 3);
Returns the rate (λ) of the erlang distribution
use statrs::distribution::Erlang;
let n = Erlang::new(3, 1.0).unwrap();
assert_eq!(n.rate(), 1.0);
Performs copy-assignment from source. Read more
Calculates the probability density function for the erlang distribution
at x
Returns NAN if any of shape or rate are INF
or if x is INF
(λ^k / Γ(k)) * x^(k - 1) * e^(-λ * x)
where k is the shape, λ is the rate, and Γ is the gamma function
Calculates the log probability density function for the erlang
distribution
at x
Returns NAN if any of shape or rate are INF
or if x is INF
ln((λ^k / Γ(k)) * x^(k - 1) * e ^(-λ * x))
where k is the shape, λ is the rate, and Γ is the gamma function
Calculates the cumulative distribution function for the erlang
distribution
at x
where k is the shape, λ is the rate, and γ is the lower
incomplete gamma function
Due to issues with rounding and floating-point accuracy the default
implementation may be ill-behaved.
Specialized inverse cdfs should be used whenever possible.
Performs a binary search on the domain of cdf to obtain an approximation
of F^-1(p) := inf { x | F(x) >= p }. Needless to say, performance may
may be lacking. Read more
Formats the value using the given formatter. Read more
Generate a random value of T, using rng as the source of randomness.
Create an iterator that generates random values of T, using rng as
the source of randomness. Read more
Create a distribution of values of ‘S’ by mapping the output of Self
through the closure F Read more
Returns the mean of the erlang distribution
Returns shape if rate == f64::INFINITY. This behavior
is borrowed from the Math.NET implementation
where k is the shape and λ is the rate
Returns the variance of the erlang distribution
where α is the shape and λ is the rate
Returns the entropy of the erlang distribution
k - ln(λ) + ln(Γ(k)) + (1 - k) * ψ(k)
where k is the shape, λ is the rate, Γ is the gamma function,
and ψ is the digamma function
Returns the skewness of the erlang distribution
where k is the shape
Returns the standard deviation, if it exists. Read more
Returns the maximum value in the domain of the
erlang distribution representable by a double precision
float
Returns the minimum value in the domain of the
erlang distribution representable by a double precision
float
Returns the mode for the erlang distribution
Returns shape if rate ==f64::INFINITY. This behavior
is borrowed from the Math.NET implementation
where k is the shape and λ is the rate
This method tests for self and other values to be equal, and is used
by ==. Read more
This method tests for !=.
impl<T> Any for T where
T: 'static + ?Sized,
Immutably borrows from an owned value. Read more
Mutably borrows from an owned value. Read more
impl<T, U> Into<U> for T where
U: From<T>,
Performance hack: Clone doesn’t get inlined for Copy types in debug mode, so make it inline anyway.
Tests if Self the same as the type T Read more
The inverse inclusion map: attempts to construct self from the equivalent element of its
superset. Read more
Checks if self is actually part of its subset T (and can be converted to it).
Use with care! Same as self.to_subset but without any property checks. Always succeeds.
The inclusion map: converts self to the equivalent element of its superset.
The resulting type after obtaining ownership.
Creates owned data from borrowed data, usually by cloning. Read more
🔬 This is a nightly-only experimental API. (toowned_clone_into)
Uses borrowed data to replace owned data, usually by cloning. Read more
The type returned in the event of a conversion error.
The type returned in the event of a conversion error.
