>> poisson_fixed_time_test

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 = 501.02
  Variance = 501.435,  STD = 22.3927

  Plot file saved as "poisson_events.png"
>> diary
>> poisson_simulation_test
24-Jan-2019 09:34:32

POISSON_SIMULATION_TEST
  MATLAB version.
  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 = 0.00285543
  Average wait = 2.05542
  Maximum wait = 14.324

 Count            Time            Wait

     0               0               0
     1        0.190343        0.190343
     2         3.43298         3.24264
     3         5.55878          2.1258
     4          14.374         8.81517
     5         16.1454         1.77141
  ....  ..............  ..............
   995         2041.85       0.0194807
   996         2045.18         3.33169
   997          2048.7         3.52096
   998         2054.23         5.53303
   999         2054.47          0.2351
  1000         2055.42         0.95385

  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 = 500.877
  Variance = 501.745,  STD = 22.3997

  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 5.4531, after waiting 5.4531
  Event #2 occurs at time 11.9174, after waiting 6.46425

POISSON_SIMULATION_TEST
  Normal end of execution.

24-Jan-2019 09:34:36
>>