How to calculate the maximum deviation of a point from zero on a particular step?

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250-300 tests are conducted with two (A, B) coins. The second B (ideal) coin is introduced due to the possibility of dishonesty of the first coin. The coincidence / mismatch of the symbols ("common game") is tracked. After the completion of 1 test cycle, 2, 3, etc. (between cycles 1000 tests of coin A) are carried out. Previous cycles are forgotten. I draw a graph: match (move point up from axis 0), mismatch (move point down from axis 0). We obtain a random walk.



How to calculate the maximum deviation of a point from zero on a particular step?



 earlier I determined the standard deviation (1-sigma, 2-sigma, 3-sigma) √npq.
 then I learned about the mathematical expectation of the modulus of the difference (+1; -1) | X-Y | .√2n / π (approximate formula).
  what's right? can have other options?




probability probability-theory




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250-300 tests are conducted with two (A, B) coins. The second B (ideal) coin is introduced due to the possibility of dishonesty of the first coin. The coincidence / mismatch of the symbols ("common game") is tracked. After the completion of 1 test cycle, 2, 3, etc. (between cycles 1000 tests of coin A) are carried out. Previous cycles are forgotten. I draw a graph: match (move point up from axis 0), mismatch (move point down from axis 0). We obtain a random walk.



How to calculate the maximum deviation of a point from zero on a particular step?



 earlier I determined the standard deviation (1-sigma, 2-sigma, 3-sigma) √npq.
 then I learned about the mathematical expectation of the modulus of the difference (+1; -1) | X-Y | .√2n / π (approximate formula).
  what's right? can have other options?




probability probability-theory




share|cite|improve this question

















  • 1




    Using all caps is rude as it is considered shouting.
    – Sean Roberson
    Jul 25 at 16:00












up vote
-1
down vote

favorite









up vote
-1
down vote

favorite











250-300 tests are conducted with two (A, B) coins. The second B (ideal) coin is introduced due to the possibility of dishonesty of the first coin. The coincidence / mismatch of the symbols ("common game") is tracked. After the completion of 1 test cycle, 2, 3, etc. (between cycles 1000 tests of coin A) are carried out. Previous cycles are forgotten. I draw a graph: match (move point up from axis 0), mismatch (move point down from axis 0). We obtain a random walk.



How to calculate the maximum deviation of a point from zero on a particular step?



 earlier I determined the standard deviation (1-sigma, 2-sigma, 3-sigma) √npq.
 then I learned about the mathematical expectation of the modulus of the difference (+1; -1) | X-Y | .√2n / π (approximate formula).
  what's right? can have other options?




probability probability-theory




share|cite|improve this question













250-300 tests are conducted with two (A, B) coins. The second B (ideal) coin is introduced due to the possibility of dishonesty of the first coin. The coincidence / mismatch of the symbols ("common game") is tracked. After the completion of 1 test cycle, 2, 3, etc. (between cycles 1000 tests of coin A) are carried out. Previous cycles are forgotten. I draw a graph: match (move point up from axis 0), mismatch (move point down from axis 0). We obtain a random walk.



How to calculate the maximum deviation of a point from zero on a particular step?



 earlier I determined the standard deviation (1-sigma, 2-sigma, 3-sigma) √npq.
 then I learned about the mathematical expectation of the modulus of the difference (+1; -1) | X-Y | .√2n / π (approximate formula).
  what's right? can have other options?





probability probability-theory





share|cite|improve this question












share|cite|improve this question




share|cite|improve this question








edited Jul 25 at 16:02









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asked Jul 25 at 15:58









vovan

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  • 1




    Using all caps is rude as it is considered shouting.
    – Sean Roberson
    Jul 25 at 16:00












  • 1




    Using all caps is rude as it is considered shouting.
    – Sean Roberson
    Jul 25 at 16:00







1




1




Using all caps is rude as it is considered shouting.
– Sean Roberson
Jul 25 at 16:00




Using all caps is rude as it is considered shouting.
– Sean Roberson
Jul 25 at 16:00















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