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07-Oct-2025 23:34:39

poisson_simulation_test():
  MATLAB/Octave version 9.11.0.2358333 (R2021b) Update 7
  Test poisson_simulation().

poisson_fixed_events_test():
  poisson_fixed_events() simulates a Poisson process
  until a given number of events have occurred.

  Simulate a Poisson process, for which, on average,
  LAMBDA events occur per unit time.
  Run until you have observed EVENT_NUM events.

  LAMBDA = 0.5
  EVENT_NUM = 1000

  Minimum wait = 0.00601254
  Average wait = 1.98523
  Maximum wait = 17.132

 Count            Time            Wait

     0               0               0
     1        0.589317        0.589317
     2         0.70213        0.112813
     3        0.912215        0.210084
     4         1.24128        0.329063
     5          2.3458         1.10452
  ....  ..............  ..............
   995         1972.45        0.399812
   996         1976.98         4.52322
   997         1980.96         3.98563
   998         1984.22         3.26211
   999         1985.19        0.967472
  1000         1985.23       0.0380675
  Graphics saved as "poisson_timeline.png"
  Graphics saved as "poisson_times.png"

poisson_fixed_time_test():
  poisson_fixed_time() simulates a Poisson process
  counting the number of events that occur during
  a given time.

  Simulate a Poisson process, for which, on average,
  LAMBDA events occur per unit time.
  Run for a total of 1000 time units.
  LAMBDA = 0.5

  Mean number of events = 500.867
  Variance = 496.68,  STD = 22.2863
  Graphics saved as "poisson_events.png"

poisson_next_event_test():
  poisson_next_event() simulates a Poisson process
  until a single event has occurred.

  Simulate a Poisson process, for which, on average,
  LAMBDA events occur per unit time.

  LAMBDA = 0.5
  Event #1 occurs at time 0.104761, after waiting 0.104761
  Event #2 occurs at time 3.41443, after waiting 3.30967
  Event #3 occurs at time 6.10826, after waiting 2.69383
  Event #4 occurs at time 8.10475, after waiting 1.99649
  Event #5 occurs at time 11.0525, after waiting 2.94773

poisson_simulation_test():
  Normal end of execution.

07-Oct-2025 23:38:12