Package jline.api.mc

Class Ctmc_passage_taboo_moments

java.lang.Object
jline.api.mc.Ctmc_passage_taboo_moments

public final class Ctmc_passage_taboo_moments extends Object
Moments of order 1..nmax of the first passage time into the TARGET set B, CONDITIONAL on entering B before the TABOO set C:
     E[T^k | B before C] = k! alpha (-S)^-(k+1) sB / Pr{B before C},
 
evaluated as (-S) y_k = k y_(k-1) from y_0 = pB, one solve per order, with S, pB and the partition of Ctmc_passage_taboo.

With an empty taboo set and B entered surely, the moments equal those of Ctmc_passage_moments. Indices are 0-based here and 1-based in the MATLAB reference.

  • Method Details

    • ctmc_passage_taboo_moments

      public static PassageTabooMomentsResult ctmc_passage_taboo_moments(Matrix Q, Matrix pi0, int[] target, int[] taboo, int nmax)
      Parameters:
      Q - generator, rows summing to zero
      pi0 - initial distribution over the state space, or null
      target - 0-based target state indices B, not empty
      taboo - 0-based taboo state indices C, or null/empty
      nmax - highest moment order