Copyright	(c) Dominik Schrempf 2021
License	GPL-3.0-or-later
Maintainer	dominik.schrempf@gmail.com
Stability	unstable
Portability	portable
Safe Haskell	None
Language	Haskell2010

ELynx.Tree.Distribution.BirthDeathCriticalNoTime

Description

Creation date: Tue Feb 13 13:16:18 2018.

See Gernhard, T. (2008). The conditioned reconstructed process. Journal of Theoretical Biology, 253(4), 769–778. http://doi.org/10.1016/j.jtbi.2008.04.005.

Distribution of the values of the point process such that it corresponds to reconstructed trees under the birth and death process; critical birth and death process with lambda=mu.

Synopsis

newtype BirthDeathCriticalNoTimeDistribution = BDCNTD {
- bdcntdLa :: Rate
}
cumulative :: BirthDeathCriticalNoTimeDistribution -> Time -> Double
density :: BirthDeathCriticalNoTimeDistribution -> Time -> Double
quantile :: BirthDeathCriticalNoTimeDistribution -> Double -> Time

Documentation

newtype BirthDeathCriticalNoTimeDistribution Source #

Distribution of the values of the point process such that it corresponds to a reconstructed tree of the birth and death process.

Constructors

BDCNTD
Fields bdcntdLa :: Rate Birth and death rate.

Instances

Instances details

Eq BirthDeathCriticalNoTimeDistribution Source #
Instance details Defined in ELynx.Tree.Distribution.BirthDeathCriticalNoTime Methods (==) :: BirthDeathCriticalNoTimeDistribution -> BirthDeathCriticalNoTimeDistribution -> Bool # (/=) :: BirthDeathCriticalNoTimeDistribution -> BirthDeathCriticalNoTimeDistribution -> Bool #
Data BirthDeathCriticalNoTimeDistribution Source #
Instance details Defined in ELynx.Tree.Distribution.BirthDeathCriticalNoTime Methods gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> BirthDeathCriticalNoTimeDistribution -> c BirthDeathCriticalNoTimeDistribution # gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c BirthDeathCriticalNoTimeDistribution # toConstr :: BirthDeathCriticalNoTimeDistribution -> Constr # dataTypeOf :: BirthDeathCriticalNoTimeDistribution -> DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) -> Maybe (c BirthDeathCriticalNoTimeDistribution) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c BirthDeathCriticalNoTimeDistribution) # gmapT :: (forall b. Data b => b -> b) -> BirthDeathCriticalNoTimeDistribution -> BirthDeathCriticalNoTimeDistribution # gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> BirthDeathCriticalNoTimeDistribution -> r # gmapQr :: forall r r'. (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> BirthDeathCriticalNoTimeDistribution -> r # gmapQ :: (forall d. Data d => d -> u) -> BirthDeathCriticalNoTimeDistribution -> [u] # gmapQi :: Int -> (forall d. Data d => d -> u) -> BirthDeathCriticalNoTimeDistribution -> u # gmapM :: Monad m => (forall d. Data d => d -> m d) -> BirthDeathCriticalNoTimeDistribution -> m BirthDeathCriticalNoTimeDistribution # gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> BirthDeathCriticalNoTimeDistribution -> m BirthDeathCriticalNoTimeDistribution # gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> BirthDeathCriticalNoTimeDistribution -> m BirthDeathCriticalNoTimeDistribution #
Generic BirthDeathCriticalNoTimeDistribution Source #
Instance details Defined in ELynx.Tree.Distribution.BirthDeathCriticalNoTime Associated Types type Rep BirthDeathCriticalNoTimeDistribution :: Type -> Type # Methods from :: BirthDeathCriticalNoTimeDistribution -> Rep BirthDeathCriticalNoTimeDistribution x # to :: Rep BirthDeathCriticalNoTimeDistribution x -> BirthDeathCriticalNoTimeDistribution #
Distribution BirthDeathCriticalNoTimeDistribution Source #
Instance details Defined in ELynx.Tree.Distribution.BirthDeathCriticalNoTime Methods cumulative :: BirthDeathCriticalNoTimeDistribution -> Double -> Double # complCumulative :: BirthDeathCriticalNoTimeDistribution -> Double -> Double #
ContDistr BirthDeathCriticalNoTimeDistribution Source #
Instance details Defined in ELynx.Tree.Distribution.BirthDeathCriticalNoTime Methods density :: BirthDeathCriticalNoTimeDistribution -> Double -> Double # quantile :: BirthDeathCriticalNoTimeDistribution -> Double -> Double # complQuantile :: BirthDeathCriticalNoTimeDistribution -> Double -> Double # logDensity :: BirthDeathCriticalNoTimeDistribution -> Double -> Double #
ContGen BirthDeathCriticalNoTimeDistribution Source #
Instance details Defined in ELynx.Tree.Distribution.BirthDeathCriticalNoTime Methods genContVar :: PrimMonad m => BirthDeathCriticalNoTimeDistribution -> Gen (PrimState m) -> m Double #
type Rep BirthDeathCriticalNoTimeDistribution Source #
Instance details Defined in ELynx.Tree.Distribution.BirthDeathCriticalNoTime type Rep BirthDeathCriticalNoTimeDistribution = D1 ('MetaData "BirthDeathCriticalNoTimeDistribution" "ELynx.Tree.Distribution.BirthDeathCriticalNoTime" "elynx-tree-0.6.0.0-FQkEU9t6m33732ommPyIXg" 'True) (C1 ('MetaCons "BDCNTD" 'PrefixI 'True) (S1 ('MetaSel ('Just "bdcntdLa") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Rate)))

cumulative :: BirthDeathCriticalNoTimeDistribution -> Time -> Double Source #

Cumulative distribution function section 2.1.2, second formula.

density :: BirthDeathCriticalNoTimeDistribution -> Time -> Double Source #

Density function section 2.1.2, first formula; t cancels out because it is expected to be much larger than 1.0; because t in [0, infty].

quantile :: BirthDeathCriticalNoTimeDistribution -> Double -> Time Source #

Inverted cumulative probability distribution cumulative. See also ContDistr.