08-Oct-2025 12:25:29

poisson_simulation_test():
  MATLAB/Octave version 6.4.0
  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 = 0.0011177
  Average wait = 1.79431
  Maximum wait = 11.032

 Count            Time            Wait

     0               0               0
     1         2.86571         2.86571
     2         4.29787         1.43216
     3         6.59443         2.29656
     4         7.28278        0.688344
     5         8.19134        0.908559
  ....  ..............  ..............
   995         1789.67          1.1527
   996         1790.21        0.541439
   997         1791.68          1.4665
   998         1791.94        0.256893
   999         1794.25         2.31252
  1000         1794.31        0.063601
  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 = 501.039
  Variance = 501.816,  STD = 22.4013
  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 2.49381, after waiting 2.49381
  Event #2 occurs at time 4.38943, after waiting 1.89562
  Event #3 occurs at time 8.60031, after waiting 4.21088
  Event #4 occurs at time 12.6602, after waiting 4.05987

poisson_simulation_test():
  Normal end of execution.

08-Oct-2025 12:26:46