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chi2fit

2.1.7
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Provides functions for fast matrix inversion, creation of empirical CDF from sample data including handling of asymmetric errors, and fitting to a funtion using chi-squared. The fitting procedure return the full covariance matrix describing the fitted parameters.

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chi2fit lib distributions coin.ex
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lib/distributions/coin.ex 

defmodule Chi2fit.Distribution.Coin do



  # Copyright 2019 Pieter Rijken

  #

  # Licensed under the Apache License, Version 2.0 (the "License");

  # you may not use this file except in compliance with the License.

  # You may obtain a copy of the License at

  #

  #     http://www.apache.org/licenses/LICENSE-2.0

  #

  # Unless required by applicable law or agreed to in writing, software

  # distributed under the License is distributed on an "AS IS" BASIS,

  # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.

  # See the License for the specific language governing permissions and

  # limitations under the License.



  @moduledoc """

  Distribution for flipping coins.

  """



  defstruct [name: "coin"]

  

  @type t() :: %__MODULE__{

    name: String.t

  }



end



defimpl Chi2fit.Distribution, for: Chi2fit.Distribution.Coin do

  alias Chi2fit.Distribution.Coin



  @spec coin() :: ((...) -> :heads|:tails)

  defp coin() do

    fn -> if(:rand.uniform()<0.5, do: :heads, else: :tails) end

  end

  

  def skewness(%Coin{}), do: fn _ -> 0 end

  def kurtosis(%Coin{}), do: fn _ -> -2 end

  def size(%Coin{}), do: 0

  

  def cdf(%Coin{}) do

    fn 

      x, _ when x < 0.0 -> 0.0

      x, _ when 0.0 <= x and x < 1.0 -> 0.5

      _, _ -> 1.0

    end

  end



  def pdf(%Coin{}), do: fn _, _ -> 0.5 end

  def random(%Coin{}), do: coin().()



  def name(model), do: model.name

  

end



defimpl Inspect, for: Chi2fit.Distribution.Coin do

  def inspect(_dict, _opts), do: "#Coin<>"



end