Module: Distribution::Poisson::Ruby_

Defined in:
lib/distribution/poisson/ruby.rb

Class Method Summary collapse

Class Method Details

.cdf(k, l) ⇒ Object 



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# File 'lib/distribution/poisson/ruby.rb', line 34

def cdf(k, l)
  Math.exp(-l) * (0..k).inject(0) { |ac, i| ac + (l**i).quo(Math.factorial(i)) }
end

.pdf(k, l) ⇒ Object 



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# File 'lib/distribution/poisson/ruby.rb', line 30

def pdf(k, l)
  (l**k * Math.exp(-l)).quo(Math.factorial(k))
end

.quantile(prob, l) ⇒ Object Also known as: p_value 



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# File 'lib/distribution/poisson/ruby.rb', line 38

def quantile(prob, l)
  ac = 0
  (0..100).each do |i|
    ac += pdf(i, l)
    return i if prob <= ac
  end
end

.rng(lambda_val = 1, seed = nil) ⇒ Object

Return a Proc object which returns a random number drawn from the poisson distribution with lambda.

== Arguments

  • +lambda_val+ - mean of the poisson distribution
  • +seed+ - seed, an integer value to set the initial state

== Algorithm

  • Donald Knuth


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# File 'lib/distribution/poisson/ruby.rb', line 16

def rng(lambda_val = 1, seed = nil)
  seed = Random.new_seed if seed.nil?
  r = Random.new(seed).rand
  x = 0
  l = Math.exp(-lambda_val)
  s = l
  while r > s
    x += 1
    l *= lambda_val / x.to_f
    s += l
  end
  x
end