mwc-probability: Sampling function-based probability distributions.

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A simple probability distribution type, where distributions are characterized by sampling functions.

This implementation is a thin layer over mwc-random, which handles RNG state-passing automatically by using a PrimMonad like IO or ST s under the hood.

Examples

Transform a distribution's support while leaving its density structure invariant:

-- uniform over [0, 1] to uniform over [1, 2]
fmap succ uniform

Sequence distributions together using bind:

-- a beta-binomial compound distribution
beta 1 10 >>= binomial 10

Use do-notation to build complex joint distributions from composable, local conditionals:

hierarchicalModel = do
  [c, d, e, f] <- replicateM 4 $ uniformR (1, 10)
  a <- gamma c d
  b <- gamma e f
  p <- beta a b
  n <- uniformR (5, 10)
  binomial n p

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Modules

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System
- Random
  - MWC
    - System.Random.MWC.Probability

Downloads

mwc-probability-2.3.1.tar.gz [browse] (Cabal source package)
Package description (as included in the package)

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Package maintainers

JaredTobin, ocramz

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Versions [RSS]	1.0.0, 1.0.1, 1.0.2, 1.0.3, 1.1.3, 1.2.0, 1.2.1, 1.2.2, 1.3.0, 2.0.0, 2.0.1, 2.0.2, 2.0.3, 2.0.4, 2.1.0, 2.2.0, 2.3.0, 2.3.1
Change log	CHANGELOG
Dependencies	base (>=4.8 && <6), containers (>=0.6), mwc-random (>0.13 && <0.16), primitive (>=0.6 && <1.0), transformers (>=0.5 && <1.0) [details]
Tested with	ghc ==8.0.2, ghc ==8.2.2, ghc ==8.4.2, ghc ==8.6.5, ghc ==8.8.3
License	MIT
Author	Jared Tobin, Marco Zocca
Maintainer	jared@jtobin.ca, zocca.marco gmail
Category	Math
Home page	http://github.com/jtobin/mwc-probability
Source repo	head: git clone http://github.com/jtobin/mwc-probability.git
Uploaded	by JaredTobin at 2020-07-31T20:18:50Z
Distributions	LTSHaskell:2.3.1, NixOS:2.3.1, Stackage:2.3.1
Reverse Dependencies	14 direct, 5 indirect [details]
Downloads	12403 total (63 in the last 30 days)
Rating	(no votes yet) [estimated by Bayesian average]
Your Rating	λ λ λ
Status	Docs available [build log] Last success reported on 2020-07-31 [all 1 reports]

Readme for mwc-probability-2.3.1

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mwc-probability

Sampling function-based probability distributions.

A simple probability distribution type, where distributions are characterized by sampling functions.

This implementation is a thin layer over mwc-random, which handles RNG state-passing automatically by using a PrimMonad like IO or ST s under the hood.

Examples

Transform a distribution's support while leaving its density structure invariant:
```
-- uniform over [0, 1] transformed to uniform over [1, 2]
succ <$> uniform
```

Sequence distributions together using bind:

-- a beta-binomial composite distribution
beta 1 10 >>= binomial 10

Use do-notation to build complex joint distributions from composable, local conditionals:

hierarchicalModel = do
  [c, d, e, f] <- replicateM 4 (uniformR (1, 10))
  a <- gamma c d
  b <- gamma e f
  p <- beta a b
  n <- uniformR (5, 10)
  binomial n p

Check out the haddock-generated docs on Hackage for other examples.

Etc.

PRs and issues welcome.