Constructor Detail

Method Detail

• fj_char_max_exp

   final static CharMaxResult fj_char_max_exp(Integer K, Double mu)

  Characteristic maximum M_K for exponential distribution.

  m_K = ln(K) / mu M_K = H_K / mu (exact for exponential)

  Parameters:

  K - Number of random variables (positive integer)

  mu - Rate parameter (positive)

  Returns:

  CharMaxResult with M_K and m_K

• fj_char_max_erlang

   final static CharMaxResult fj_char_max_erlang(Integer K, Integer kStages, Double mu)

  Characteristic maximum M_K for Erlang-k distribution.

  Finds m_K by solving: exp(-mum_K) * sum_{i=0}^{k-1} (mum_K)^i/i! = 1/K

  Then: M_K = (k/mu) * 1 + K * exp(-mu*m_K) * (mu*m_K)^k / k!

  Parameters:

  K - Number of random variables (positive integer)

  kStages - Number of Erlang stages (positive integer)

  mu - Rate parameter per stage (positive)

  Returns:

  CharMaxResult with M_K and m_K