Tue May 20 22:23:16 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 = 0.0029145680375216284
  Average wait = 1.962655235611319
  Maximum wait = 17.41962620476338

 Count            Time            Wait

     0               0               0
     1         2.76451         2.76451
     2         6.02528         3.26077
     3         7.04802         1.02274
     4         8.68011          1.6321
     5         10.6519         1.97177
  ....  ..............  ..............
   995          1956.3        0.261901
   996         1958.56         2.25759
   997         1958.81        0.251146
   998         1961.77         2.96422
   999         1962.15        0.373299
  1000         1962.66        0.509145
  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 = 501.0647
  Variance = 506.69111390999996   STD =  22.509800396938218
  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 4.060692776909708 , after waiting 4.060692776909708
  Event # 2 at time 4.112232557541153 , after waiting 0.05153978063144543
  Event # 3 at time 5.968976597002525 , after waiting 1.8567440394613717
  Event # 4 at time 8.41284945482325 , after waiting 2.443872857820725
  Event # 5 at time 9.692492687739668 , after waiting 1.2796432329164174
  Event # 6 at time 10.449040636786386 , after waiting 0.7565479490467176

poisson_simulation_test():
  Normal end of execution.
Tue May 20 22:23:29 2025