| Copyright | (c) Fabricio Olivetti 2021 - 2024 |
|---|---|
| License | BSD3 |
| Maintainer | fabricio.olivetti@gmail.com |
| Stability | experimental |
| Portability | ConstraintKinds |
| Safe Haskell | Safe-Inferred |
| Language | Haskell2010 |
Algorithm.SRTree.ConfidenceIntervals
Description
Functions to optimize the parameters of an expression.
Synopsis
- data PType
- = Bates
- | ODE
- | Constrained
- data CIType
- data BasicStats = MkStats {}
- data CI = CI {}
- data ProfileT = ProfileT {}
- showCI :: Int -> CI -> String
- printCI :: Int -> CI -> IO ()
- paramCI :: CIType -> Int -> PVector -> Double -> [CI]
- predictionCI :: CIType -> Distribution -> (SRMatrix -> PVector) -> (SRMatrix -> [PVector]) -> (CI -> PVector -> Fix SRTree -> (Double -> Double, Double)) -> SRMatrix -> Fix SRTree -> PVector -> Double -> [CI] -> [CI]
- inverseDist :: Floating p => Distribution -> p -> p
- replaceParam0 :: Fix SRTree -> Fix SRTree -> Fix SRTree
- evalVar :: PVector -> Fix SRTree -> Fix SRTree
- calcTheta0 :: Distribution -> Fix SRTree -> Fix SRTree
- getAllProfiles :: PType -> Distribution -> Maybe Double -> SRMatrix -> PVector -> Fix SRTree -> PVector -> PVector -> [CI] -> Double -> [ProfileT]
- getProfile :: Distribution -> Maybe Double -> SRMatrix -> PVector -> Fix SRTree -> PVector -> Double -> Double -> Int -> Either PVector ProfileT
- getProfileCnstr :: Distribution -> Maybe Double -> SRMatrix -> PVector -> Fix SRTree -> PVector -> Double -> Double -> Int -> Either PVector ProfileT
- getEndPoint :: Distribution -> Maybe Double -> Array S Ix2 Double -> Array S Ix1 Double -> Fix SRTree -> Array S Ix1 Double -> Double -> Int -> Bool -> Double
- getProfileODE :: Distribution -> Maybe Double -> SRMatrix -> PVector -> Fix SRTree -> PVector -> Double -> CI -> Double -> Int -> Either PVector ProfileT
- rk :: (Double -> PVector -> PVector) -> (Double, PVector) -> Double -> (Double, PVector)
- getStatsFromModel :: Distribution -> Maybe Double -> SRMatrix -> PVector -> Fix SRTree -> PVector -> BasicStats
- createSplines :: PVector -> SRMatrix -> Double -> Double -> Int -> (Double -> Double, Double -> Double)
- getCol :: Int -> SRMatrix -> PVector
- sortOnFirst :: PVector -> PVector -> [(Double, Double)]
- splinesSketches :: Double -> PVector -> PVector -> (Double -> Double) -> Double -> Double
- approximateContour :: Int -> Int -> [ProfileT] -> Int -> Int -> Double -> [(Double, Double)]
Documentation
profile likelihood algorithms: Bates (classical), ODE (faster), Constrained (fastest) The Constrained approach returns only the endpoints.
Constructors
| Bates | |
| ODE | |
| Constrained |
Confidence Interval using Laplace approximation or profile likelihood.
Constructors
| Laplace BasicStats | |
| Profile BasicStats [ProfileT] |
data BasicStats #
Basic stats of the data: covariance of parameters, correlation, standard errors
Instances
| Show BasicStats # | |
Defined in Algorithm.SRTree.ConfidenceIntervals Methods showsPrec :: Int -> BasicStats -> ShowS # show :: BasicStats -> String # showList :: [BasicStats] -> ShowS # | |
| Eq BasicStats # | |
Defined in Algorithm.SRTree.ConfidenceIntervals | |
a confience interval is composed of the point estimate (est_), lower bound (_lower_)
and upper bound (upper_)
paramCI :: CIType -> Int -> PVector -> Double -> [CI] #
Calculates the confidence interval of the parameters using Laplace approximation or Profile likelihood
predictionCI :: CIType -> Distribution -> (SRMatrix -> PVector) -> (SRMatrix -> [PVector]) -> (CI -> PVector -> Fix SRTree -> (Double -> Double, Double)) -> SRMatrix -> Fix SRTree -> PVector -> Double -> [CI] -> [CI] #
calculates the prediction confidence interval using Laplace approximation or profile likelihood.
inverseDist :: Floating p => Distribution -> p -> p #
calcTheta0 :: Distribution -> Fix SRTree -> Fix SRTree #
getAllProfiles :: PType -> Distribution -> Maybe Double -> SRMatrix -> PVector -> Fix SRTree -> PVector -> PVector -> [CI] -> Double -> [ProfileT] #
getProfile :: Distribution -> Maybe Double -> SRMatrix -> PVector -> Fix SRTree -> PVector -> Double -> Double -> Int -> Either PVector ProfileT #
getProfileCnstr :: Distribution -> Maybe Double -> SRMatrix -> PVector -> Fix SRTree -> PVector -> Double -> Double -> Int -> Either PVector ProfileT #
getEndPoint :: Distribution -> Maybe Double -> Array S Ix2 Double -> Array S Ix1 Double -> Fix SRTree -> Array S Ix1 Double -> Double -> Int -> Bool -> Double #
getProfileODE :: Distribution -> Maybe Double -> SRMatrix -> PVector -> Fix SRTree -> PVector -> Double -> CI -> Double -> Int -> Either PVector ProfileT #
getStatsFromModel :: Distribution -> Maybe Double -> SRMatrix -> PVector -> Fix SRTree -> PVector -> BasicStats #