08-Jan-2022 08:54:54

poisson_simulation_test():
  MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2
  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 = 0.00101702
  Average wait = 2.00515
  Maximum wait = 15.1142

 Count            Time            Wait

     0               0               0
     1        0.409813        0.409813
     2        0.607704        0.197891
     3         4.73505         4.12734
     4         4.91626        0.181216
     5         5.83286        0.916595
  ....  ..............  ..............
   995         1996.61         1.36387
   996         1997.51        0.906179
   997         1997.61        0.100704
   998         1999.24         1.62402
   999         2004.86         5.62619
  1000         2005.15         0.28601

  Plot file saved as "poisson_timeline.png"

  Plot file 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 = 501.019
  Variance = 501.465,  STD = 22.3934

  Plot file 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 1.12588, after waiting 1.12588
  Event #2 occurs at time 1.72762, after waiting 0.601736
  Event #3 occurs at time 2.16094, after waiting 0.433319
  Event #4 occurs at time 6.84759, after waiting 4.68666
  Event #5 occurs at time 12.7159, after waiting 5.86828

poisson_simulation_test():
  Normal end of execution.

08-Jan-2022 08:55:02