Wed Oct  8 08:46:09 2025

poisson_simulation_test():
  python version: 3.10.12
  numpy version:  1.26.4
  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 = 0.0002258426974037
  Average wait = 2.0052722912224006
  Maximum wait = 11.147097468702764

 Count            Time            Wait

     0               0               0
     1          2.7591          2.7591
     2         3.37389        0.614795
     3         5.13186         1.75796
     4         6.20098         1.06913
     5         8.97068         2.76969
  ....  ..............  ..............
   995         1993.76        0.378787
   996         1997.26         3.49874
   997         1998.81         1.54993
   998         2001.05         2.23888
   999         2005.22          4.1697
  1000         2005.27       0.0547804
  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 = 500.9499
  Variance = 490.66038999000006   STD =  22.15085528800186
  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 0.9823471574860552 , after waiting 0.9823471574860552
  Event # 2 at time 1.0395298453612918 , after waiting 0.057182687875236705
  Event # 3 at time 4.6038284448036695 , after waiting 3.564298599442378
  Event # 4 at time 4.896455994181286 , after waiting 0.29262754937761637
  Event # 5 at time 6.535186045333048 , after waiting 1.6387300511517617
  Event # 6 at time 7.672366679997132 , after waiting 1.1371806346640838
  Event # 7 at time 7.892204330420457 , after waiting 0.21983765042332468
  Event # 8 at time 15.694923142698304 , after waiting 7.802718812277848

poisson_simulation_test():
  Normal end of execution.
Wed Oct  8 08:46:21 2025