Alternative to Von Neumann bias correction method

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Discussion Overview

The discussion centers around the limitations of the Von Neumann bias correction method, particularly in the context of correcting for unstable biases in a hypothetical scenario involving a bucket of differently loaded coins. Participants explore alternative methods for bias correction and the implications of tossing coins with varying biases.

Discussion Character

  • Exploratory
  • Debate/contested

Main Points Raised

  • One participant asserts that the Von Neumann bias correction method is effective only when the bias is stable, using the example of repeatedly tossing the same loaded coin.
  • Another participant questions the method of tossing the coins, asking if they will be labeled and tossed in a specific order.
  • A participant clarifies that the hypothetical scenario involves an infinite number of coins, each with different biases.
  • Another participant suggests that more information about the population of coins and their selection is necessary to fully understand the problem, noting that an infinite population of two-headed coins has not been ruled out.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of the Von Neumann method and the nature of the coins involved. The discussion remains unresolved regarding the existence of a viable alternative bias correction method for unstable biases.

Contextual Notes

Participants have not fully defined the characteristics of the coin population or the method of selection, which may impact the discussion. The implications of using an infinite number of coins and the potential for different types of biases are also not fully explored.

tim1608
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Hi

I have discovered that the Von Neumann bias correction method only works when the bias is 100% stable, for example tossing the same loaded coin again and again.

Does anyone know of a bias correction method which can correct an unstable bias? Is this impossible?

Edit: Let's say I have a bucket of coins, each of which is differently loaded but they are all loaded on the tails side. How can the bias be removed if the coins are each tossed one-by-one?
 
Last edited:
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tim1608 said:
if the coins are each tossed one-by-one?

Are you going to label the coins and toss them in order till all are tossed and then toss them again in the same order?
 
Hi Stephen

Thank you for your reply.

No. The hypothetical "bucket" in my original post has an infinite number of coins.
 
To pose an interesting problem, I think you must say more about the population of coins and how they are selected. (For example, you haven't ruled out an infinite population of two-headed coins.)
 

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