[−][src]Struct rv::dist::Bernoulli
Bernoulli distribution with success probability p
Example
use rv::prelude::*; let b = Bernoulli::new(0.75).unwrap(); assert!((b.pmf(&true) - 0.75).abs() < 1E-12);
The following example panics because 2 is out of outside the Bernoulli support
let b = Bernoulli::new(0.75).unwrap(); assert!(!b.supports(&2_u8)); b.pmf(&2_u8); // panics
Fields
p: f64
Probability of a success (x=1)
Methods
impl Bernoulli
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pub fn new(p: f64) -> Result<Self>
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pub fn uniform() -> Self
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A Bernoulli distribution with a 50% chance of success
pub fn q(&self) -> f64
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The complement of p
, i.e. (1 - p)
.
Trait Implementations
impl Rv<bool> for Bernoulli
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fn f(&self, x: &bool) -> f64
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fn ln_f(&self, x: &bool) -> f64
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fn draw<R: Rng>(&self, rng: &mut R) -> bool
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fn sample<R: Rng>(&self, n: usize, rng: &mut R) -> Vec<bool>
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impl Rv<u8> for Bernoulli
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fn f(&self, x: &u8) -> f64
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fn ln_f(&self, x: &u8) -> f64
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fn draw<R: Rng>(&self, rng: &mut R) -> u8
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fn sample<R: Rng>(&self, n: usize, rng: &mut R) -> Vec<u8>
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impl Rv<u16> for Bernoulli
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fn f(&self, x: &u16) -> f64
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fn ln_f(&self, x: &u16) -> f64
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fn draw<R: Rng>(&self, rng: &mut R) -> u16
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fn sample<R: Rng>(&self, n: usize, rng: &mut R) -> Vec<u16>
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impl Rv<u32> for Bernoulli
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fn f(&self, x: &u32) -> f64
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fn ln_f(&self, x: &u32) -> f64
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fn draw<R: Rng>(&self, rng: &mut R) -> u32
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fn sample<R: Rng>(&self, n: usize, rng: &mut R) -> Vec<u32>
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impl Rv<u64> for Bernoulli
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fn f(&self, x: &u64) -> f64
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fn ln_f(&self, x: &u64) -> f64
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fn draw<R: Rng>(&self, rng: &mut R) -> u64
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fn sample<R: Rng>(&self, n: usize, rng: &mut R) -> Vec<u64>
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impl Rv<usize> for Bernoulli
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fn f(&self, x: &usize) -> f64
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fn ln_f(&self, x: &usize) -> f64
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fn draw<R: Rng>(&self, rng: &mut R) -> usize
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fn sample<R: Rng>(&self, n: usize, rng: &mut R) -> Vec<usize>
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impl Rv<i8> for Bernoulli
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fn f(&self, x: &i8) -> f64
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fn ln_f(&self, x: &i8) -> f64
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fn draw<R: Rng>(&self, rng: &mut R) -> i8
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fn sample<R: Rng>(&self, n: usize, rng: &mut R) -> Vec<i8>
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impl Rv<i16> for Bernoulli
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fn f(&self, x: &i16) -> f64
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fn ln_f(&self, x: &i16) -> f64
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fn draw<R: Rng>(&self, rng: &mut R) -> i16
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fn sample<R: Rng>(&self, n: usize, rng: &mut R) -> Vec<i16>
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impl Rv<i32> for Bernoulli
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fn f(&self, x: &i32) -> f64
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fn ln_f(&self, x: &i32) -> f64
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fn draw<R: Rng>(&self, rng: &mut R) -> i32
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fn sample<R: Rng>(&self, n: usize, rng: &mut R) -> Vec<i32>
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impl Rv<i64> for Bernoulli
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fn f(&self, x: &i64) -> f64
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fn ln_f(&self, x: &i64) -> f64
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fn draw<R: Rng>(&self, rng: &mut R) -> i64
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fn sample<R: Rng>(&self, n: usize, rng: &mut R) -> Vec<i64>
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impl Rv<isize> for Bernoulli
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fn f(&self, x: &isize) -> f64
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fn ln_f(&self, x: &isize) -> f64
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fn draw<R: Rng>(&self, rng: &mut R) -> isize
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fn sample<R: Rng>(&self, n: usize, rng: &mut R) -> Vec<isize>
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impl Rv<Bernoulli> for Beta
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fn ln_f(&self, x: &Bernoulli) -> f64
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fn draw<R: Rng>(&self, rng: &mut R) -> Bernoulli
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fn f(&self, x: &X) -> f64
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Probability function Read more
fn sample<R: Rng>(&self, n: usize, rng: &mut R) -> Vec<X>
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Multiple draws of the Rv
Read more
impl Support<bool> for Bernoulli
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impl Support<u8> for Bernoulli
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impl Support<u16> for Bernoulli
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impl Support<u32> for Bernoulli
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impl Support<u64> for Bernoulli
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impl Support<usize> for Bernoulli
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impl Support<i8> for Bernoulli
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impl Support<i16> for Bernoulli
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impl Support<i32> for Bernoulli
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impl Support<i64> for Bernoulli
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impl Support<isize> for Bernoulli
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impl Support<Bernoulli> for Beta
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impl ContinuousDistr<Bernoulli> for Beta
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fn pdf(&self, x: &X) -> f64
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The value of the Probability Density Function (PDF) at x
Read more
fn ln_pdf(&self, x: &X) -> f64
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The value of the log Probability Density Function (PDF) at x
Read more
impl Cdf<bool> for Bernoulli
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impl Cdf<u8> for Bernoulli
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impl Cdf<u16> for Bernoulli
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impl Cdf<u32> for Bernoulli
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impl Cdf<u64> for Bernoulli
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impl Cdf<usize> for Bernoulli
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impl Cdf<i8> for Bernoulli
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impl Cdf<i16> for Bernoulli
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impl Cdf<i32> for Bernoulli
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impl Cdf<i64> for Bernoulli
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impl Cdf<isize> for Bernoulli
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impl DiscreteDistr<bool> for Bernoulli
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impl DiscreteDistr<u8> for Bernoulli
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impl DiscreteDistr<u16> for Bernoulli
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impl DiscreteDistr<u32> for Bernoulli
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impl DiscreteDistr<u64> for Bernoulli
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impl DiscreteDistr<usize> for Bernoulli
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impl DiscreteDistr<i8> for Bernoulli
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impl DiscreteDistr<i16> for Bernoulli
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impl DiscreteDistr<i32> for Bernoulli
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impl DiscreteDistr<i64> for Bernoulli
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impl DiscreteDistr<isize> for Bernoulli
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impl Mean<f64> for Bernoulli
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impl Median<f64> for Bernoulli
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impl Mode<bool> for Bernoulli
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impl Mode<u8> for Bernoulli
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impl Mode<u16> for Bernoulli
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impl Mode<u32> for Bernoulli
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impl Mode<u64> for Bernoulli
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impl Mode<usize> for Bernoulli
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impl Mode<i8> for Bernoulli
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impl Mode<i16> for Bernoulli
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impl Mode<i32> for Bernoulli
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impl Mode<i64> for Bernoulli
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impl Mode<isize> for Bernoulli
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impl Variance<f64> for Bernoulli
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impl Entropy for Bernoulli
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impl Skewness for Bernoulli
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impl Kurtosis for Bernoulli
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impl KlDivergence for Bernoulli
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fn kl(&self, other: &Self) -> f64
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fn kl_sym(&self, other: &Self) -> f64
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Symmetrised divergence, KL(P|Q) + KL(Q|P) Read more
impl HasSuffStat<bool> for Bernoulli
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type Stat = BernoulliSuffStat
fn empty_suffstat(&self) -> Self::Stat
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impl HasSuffStat<u8> for Bernoulli
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type Stat = BernoulliSuffStat
fn empty_suffstat(&self) -> Self::Stat
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impl HasSuffStat<u16> for Bernoulli
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type Stat = BernoulliSuffStat
fn empty_suffstat(&self) -> Self::Stat
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impl HasSuffStat<u32> for Bernoulli
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type Stat = BernoulliSuffStat
fn empty_suffstat(&self) -> Self::Stat
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impl HasSuffStat<u64> for Bernoulli
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type Stat = BernoulliSuffStat
fn empty_suffstat(&self) -> Self::Stat
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impl HasSuffStat<usize> for Bernoulli
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type Stat = BernoulliSuffStat
fn empty_suffstat(&self) -> Self::Stat
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impl HasSuffStat<i8> for Bernoulli
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type Stat = BernoulliSuffStat
fn empty_suffstat(&self) -> Self::Stat
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impl HasSuffStat<i16> for Bernoulli
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type Stat = BernoulliSuffStat
fn empty_suffstat(&self) -> Self::Stat
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impl HasSuffStat<i32> for Bernoulli
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type Stat = BernoulliSuffStat
fn empty_suffstat(&self) -> Self::Stat
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impl HasSuffStat<i64> for Bernoulli
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type Stat = BernoulliSuffStat
fn empty_suffstat(&self) -> Self::Stat
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impl HasSuffStat<isize> for Bernoulli
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type Stat = BernoulliSuffStat
fn empty_suffstat(&self) -> Self::Stat
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impl ConjugatePrior<bool, Bernoulli> for Beta
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type Posterior = Self
fn posterior(&self, x: &DataOrSuffStat<bool, Bernoulli>) -> Self
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fn ln_m(&self, x: &DataOrSuffStat<bool, Bernoulli>) -> f64
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fn ln_pp(&self, y: &bool, x: &DataOrSuffStat<bool, Bernoulli>) -> f64
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fn m(&self, x: &DataOrSuffStat<X, Fx>) -> f64
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Marginal likelihood of x
fn pp(&self, y: &X, x: &DataOrSuffStat<X, Fx>) -> f64
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Posterior Predictive distribution
impl ConjugatePrior<u8, Bernoulli> for Beta
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type Posterior = Self
fn posterior(&self, x: &DataOrSuffStat<u8, Bernoulli>) -> Self
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fn ln_m(&self, x: &DataOrSuffStat<u8, Bernoulli>) -> f64
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fn ln_pp(&self, y: &u8, x: &DataOrSuffStat<u8, Bernoulli>) -> f64
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fn m(&self, x: &DataOrSuffStat<X, Fx>) -> f64
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Marginal likelihood of x
fn pp(&self, y: &X, x: &DataOrSuffStat<X, Fx>) -> f64
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Posterior Predictive distribution
impl ConjugatePrior<u16, Bernoulli> for Beta
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type Posterior = Self
fn posterior(&self, x: &DataOrSuffStat<u16, Bernoulli>) -> Self
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fn ln_m(&self, x: &DataOrSuffStat<u16, Bernoulli>) -> f64
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fn ln_pp(&self, y: &u16, x: &DataOrSuffStat<u16, Bernoulli>) -> f64
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fn m(&self, x: &DataOrSuffStat<X, Fx>) -> f64
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Marginal likelihood of x
fn pp(&self, y: &X, x: &DataOrSuffStat<X, Fx>) -> f64
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Posterior Predictive distribution
impl ConjugatePrior<u32, Bernoulli> for Beta
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type Posterior = Self
fn posterior(&self, x: &DataOrSuffStat<u32, Bernoulli>) -> Self
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fn ln_m(&self, x: &DataOrSuffStat<u32, Bernoulli>) -> f64
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fn ln_pp(&self, y: &u32, x: &DataOrSuffStat<u32, Bernoulli>) -> f64
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fn m(&self, x: &DataOrSuffStat<X, Fx>) -> f64
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Marginal likelihood of x
fn pp(&self, y: &X, x: &DataOrSuffStat<X, Fx>) -> f64
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Posterior Predictive distribution
impl ConjugatePrior<u64, Bernoulli> for Beta
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type Posterior = Self
fn posterior(&self, x: &DataOrSuffStat<u64, Bernoulli>) -> Self
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fn ln_m(&self, x: &DataOrSuffStat<u64, Bernoulli>) -> f64
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fn ln_pp(&self, y: &u64, x: &DataOrSuffStat<u64, Bernoulli>) -> f64
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fn m(&self, x: &DataOrSuffStat<X, Fx>) -> f64
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Marginal likelihood of x
fn pp(&self, y: &X, x: &DataOrSuffStat<X, Fx>) -> f64
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Posterior Predictive distribution
impl ConjugatePrior<usize, Bernoulli> for Beta
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type Posterior = Self
fn posterior(&self, x: &DataOrSuffStat<usize, Bernoulli>) -> Self
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fn ln_m(&self, x: &DataOrSuffStat<usize, Bernoulli>) -> f64
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fn ln_pp(&self, y: &usize, x: &DataOrSuffStat<usize, Bernoulli>) -> f64
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fn m(&self, x: &DataOrSuffStat<X, Fx>) -> f64
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Marginal likelihood of x
fn pp(&self, y: &X, x: &DataOrSuffStat<X, Fx>) -> f64
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Posterior Predictive distribution
impl ConjugatePrior<i8, Bernoulli> for Beta
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type Posterior = Self
fn posterior(&self, x: &DataOrSuffStat<i8, Bernoulli>) -> Self
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fn ln_m(&self, x: &DataOrSuffStat<i8, Bernoulli>) -> f64
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fn ln_pp(&self, y: &i8, x: &DataOrSuffStat<i8, Bernoulli>) -> f64
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fn m(&self, x: &DataOrSuffStat<X, Fx>) -> f64
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Marginal likelihood of x
fn pp(&self, y: &X, x: &DataOrSuffStat<X, Fx>) -> f64
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Posterior Predictive distribution
impl ConjugatePrior<i16, Bernoulli> for Beta
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type Posterior = Self
fn posterior(&self, x: &DataOrSuffStat<i16, Bernoulli>) -> Self
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fn ln_m(&self, x: &DataOrSuffStat<i16, Bernoulli>) -> f64
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fn ln_pp(&self, y: &i16, x: &DataOrSuffStat<i16, Bernoulli>) -> f64
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fn m(&self, x: &DataOrSuffStat<X, Fx>) -> f64
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Marginal likelihood of x
fn pp(&self, y: &X, x: &DataOrSuffStat<X, Fx>) -> f64
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Posterior Predictive distribution
impl ConjugatePrior<i32, Bernoulli> for Beta
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type Posterior = Self
fn posterior(&self, x: &DataOrSuffStat<i32, Bernoulli>) -> Self
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fn ln_m(&self, x: &DataOrSuffStat<i32, Bernoulli>) -> f64
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fn ln_pp(&self, y: &i32, x: &DataOrSuffStat<i32, Bernoulli>) -> f64
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fn m(&self, x: &DataOrSuffStat<X, Fx>) -> f64
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Marginal likelihood of x
fn pp(&self, y: &X, x: &DataOrSuffStat<X, Fx>) -> f64
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Posterior Predictive distribution
impl ConjugatePrior<i64, Bernoulli> for Beta
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type Posterior = Self
fn posterior(&self, x: &DataOrSuffStat<i64, Bernoulli>) -> Self
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fn ln_m(&self, x: &DataOrSuffStat<i64, Bernoulli>) -> f64
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fn ln_pp(&self, y: &i64, x: &DataOrSuffStat<i64, Bernoulli>) -> f64
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fn m(&self, x: &DataOrSuffStat<X, Fx>) -> f64
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Marginal likelihood of x
fn pp(&self, y: &X, x: &DataOrSuffStat<X, Fx>) -> f64
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Posterior Predictive distribution
impl ConjugatePrior<isize, Bernoulli> for Beta
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type Posterior = Self
fn posterior(&self, x: &DataOrSuffStat<isize, Bernoulli>) -> Self
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fn ln_m(&self, x: &DataOrSuffStat<isize, Bernoulli>) -> f64
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fn ln_pp(&self, y: &isize, x: &DataOrSuffStat<isize, Bernoulli>) -> f64
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fn m(&self, x: &DataOrSuffStat<X, Fx>) -> f64
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Marginal likelihood of x
fn pp(&self, y: &X, x: &DataOrSuffStat<X, Fx>) -> f64
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Posterior Predictive distribution
impl PartialOrd<Bernoulli> for Bernoulli
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fn partial_cmp(&self, other: &Bernoulli) -> Option<Ordering>
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fn lt(&self, other: &Bernoulli) -> bool
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fn le(&self, other: &Bernoulli) -> bool
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fn gt(&self, other: &Bernoulli) -> bool
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fn ge(&self, other: &Bernoulli) -> bool
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impl<'_> From<&'_ Bernoulli> for String
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impl PartialEq<Bernoulli> for Bernoulli
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impl Clone for Bernoulli
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fn clone(&self) -> Bernoulli
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fn clone_from(&mut self, source: &Self)
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Performs copy-assignment from source
. Read more
impl Default for Bernoulli
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impl Display for Bernoulli
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impl Debug for Bernoulli
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Auto Trait Implementations
Blanket Implementations
impl<T> ApiReady for T where
T: Clone + Debug + PartialOrd<T> + PartialEq<T>,
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T: Clone + Debug + PartialOrd<T> + PartialEq<T>,
impl<T> From<T> for T
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impl<T> ToOwned for T where
T: Clone,
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T: Clone,
type Owned = T
The resulting type after obtaining ownership.
fn to_owned(&self) -> T
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fn clone_into(&self, target: &mut T)
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impl<T> ToString for T where
T: Display + ?Sized,
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T: Display + ?Sized,
impl<T, U> Into<U> for T where
U: From<T>,
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U: From<T>,
impl<T, U> TryFrom<U> for T where
U: Into<T>,
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U: Into<T>,
type Error = Infallible
The type returned in the event of a conversion error.
fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>
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impl<T, U> TryInto<U> for T where
U: TryFrom<T>,
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U: TryFrom<T>,
type Error = <U as TryFrom<T>>::Error
The type returned in the event of a conversion error.
fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>
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impl<T> BorrowMut<T> for T where
T: ?Sized,
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T: ?Sized,
fn borrow_mut(&mut self) -> &mut T
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impl<T> Borrow<T> for T where
T: ?Sized,
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T: ?Sized,
impl<T> Any for T where
T: 'static + ?Sized,
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T: 'static + ?Sized,
impl<T> Same<T> for T
type Output = T
Should always be Self
impl<SS, SP> SupersetOf<SS> for SP where
SS: SubsetOf<SP>,
SS: SubsetOf<SP>,