15-May-2025 18:47:07

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 = 0.00364555
  Average wait = 2.0313
  Maximum wait = 14.5253

 Count            Time            Wait

     0               0               0
     1         3.43534         3.43534
     2         5.27627         1.84093
     3         8.93649         3.66022
     4          13.851         4.91451
     5         15.1108         1.25984
  ....  ..............  ..............
   995         2020.76         1.22114
   996         2021.45        0.690969
   997          2025.6         4.14854
   998         2026.13        0.530578
   999         2030.59         4.45749
  1000          2031.3        0.715082
  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 = 501.214
  Variance = 501.509,  STD = 22.3944
  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 1.36719, after waiting 1.36719
  Event #2 occurs at time 3.32325, after waiting 1.95607
  Event #3 occurs at time 4.82359, after waiting 1.50033
  Event #4 occurs at time 9.13044, after waiting 4.30685
  Event #5 occurs at time 9.43206, after waiting 0.301622
  Event #6 occurs at time 12.8536, after waiting 3.42152

poisson_simulation_test():
  Normal end of execution.

15-May-2025 18:48:24