Sun Nov 27 10:48:58 2022

poisson_simulation_test():
  Python version: 3.6.9
  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,
  lam events occur per unit time.
  Run until you have observed EVENT_NUM events.

  lam = 0.5
  EVENT_NUM = 1000

  Minimum wait = 0.0015259644776232264
  Average wait = 1.9601591992360299
  Maximum wait = 16.383480979772283

 Count            Time            Wait

     0               0               0
     1         2.03579         2.03579
     2         2.63554        0.599749
     3         6.04124         3.40569
     4         8.08784          2.0466
     5         10.5242          2.4364
  ....  ..............  ..............
   995         1955.65       0.0547061
   996         1955.68       0.0266395
   997          1956.3        0.617081
   998          1958.4           2.098
   999         1958.95        0.557817
  1000         1960.16         1.20573
  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,
  lam events occur per unit time.
  Run for a total of 1000.0 time units.
  lam = 0.5

  Mean number of events = 500.97665
  Variance = 496.19260477750004   STD =  22.275381136526036
  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,
  lam events occur per unit time.

  lam = 0.5
  Event # 1 at time 1.8930562742005197 , after waiting 1.8930562742005197
  Event # 2 at time 3.7228210648063276 , after waiting 1.8297647906058079
  Event # 3 at time 6.382943818189075 , after waiting 2.6601227533827476
  Event # 4 at time 10.453554098568727 , after waiting 4.070610280379653

poisson_simulation_test():
  Normal end of execution.
Sun Nov 27 10:49:14 2022