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chi2fit

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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 constant.ex
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lib/distributions/constant.ex 

defmodule Distribution.Constant 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 constant numbers.

  """



  @enforce_keys [:pars]

  defstruct [:pars]

  

  @type t() :: %__MODULE__{

  }

  

end



defimpl Distribution, for: Distribution.Constant do

  import Distribution.Constant

  alias Distribution.Constant



  @spec constant(number | Keyword.t) :: ((...) -> number)

  defp constant([avg: average]), do: fn -> average end

  defp constant(average) when is_number(average), do: fn -> average end

  

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

  def kurtosis(%Constant{}), do: fn _ -> 0 end

  def size(%Constant{}), do: 1

  

  def cdf(%Constant{}), do: raise Distribution.FunctionNotSupportedError, message: "cdf is not supported for the Constant distribution"

  def pdf(%Constant{}), do: raise Distribution.FunctionNotSupportedError, message: "pdf is not supported for the Constant distribution"



  @doc ~S"""

  ## Examples:

  

      iex> random %Distribution.Constant{pars: [5.0]}

      5.0

  """

  def random(%Constant{pars: [avg]}), do: constant(avg).()

  

end