The Observer Effect in Abelian Probability Theory

Simple Simulation for The Experiment of The Reference Point Paradox

Theory

Baclawski, Kenneth. "The observer effect." In 2018 IEEE Conference on Cognitive and Computational Aspects of Situation Management (CogSIMA), pp. 83-89. IEEE, 2018.

Code Run

Uniform Distribution:

[-] Enter Circle Diameter (e.g. 50): 50
[-] Enter The Num of Arcs (e.g. 500): 500
[-] Enter The Number of Points that Will be Dropped (e.g. 100000): 100000
[-] Enter the distribution of random numbers (Beta/Uniform): uniform
[+] Actual Value: 0.1
[+] Simulation Result: 0.19896175186166512
[+] Therotical Simulation Result: 0.1996007984031936

Beta Distribution:

[-] Enter Circle Diameter (e.g. 50): 50
[-] Enter The Num of Arcs (e.g. 500): 500
[-] Enter The Number of Points that Will be Dropped (e.g. 100000): 100000
[-] Enter the distribution of random numbers (Beta/Uniform): beta
[-] Alpha Parameter: 4
[-] Beta Parameter: 4
[+] Actual Value: 0.1
[+] Simulation Result: 0.400103967612772
[+] Therotical Simulation Result: 0.1996007984031936

How to Do It Right in Practise?

Instead of throwing points at the gaps in the circle, you should throw a dice or generate numbers to choose a specific arc.

Others

• Girl or Boy Paradox
• The Inspection Paradox of RadioActive Sample
• The Prisoner (I don't agree much with this!)
• Sociological Observer Effect
• Schrodinger's Cat
• Software Monitring & Heisenbug

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