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Math Help - Randomness

  1. #1
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    Randomness

    Hi guys,
    Is this sequence a random one.
    If not is there a awy on how to prove it

    10100011000010110111010101100101010100100011100000 00100110010010000000000100111001000001111100010100 00010010100100000111110000111000000000100100000000 100000
    Thank you for any clue or random analysis tool
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  2. #2
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    Re: Randomness

    No, of course, not. NO given sequence is "random". The word random has to be applied to ways of choosing numbers in a sequence. It might well be that those numbers were chosen in some "random" way but just seeing the numbers doesn't tell us how they were chosen.
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  3. #3
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    Re: Randomness

    Quote Originally Posted by HallsofIvy View Post
    No, of course, not. NO given sequence is "random". The word random has to be applied to ways of choosing numbers in a sequence. It might well be that those numbers were chosen in some "random" way but just seeing the numbers doesn't tell us how they were chosen.
    Thank you very much. The sequence in fact is not random. Someone who has some knowledge of what is going to happen made predictions. Each time he succeed we note it 1, and 0 otherwise. Let me now put my question another way. Knowing the finite sequence above can we generate sequences having the same pattern or at least can we generate randomly sequences sharing the same mean, the same variance and runs of zeros and ones not too much different. I hope to find out some answer or some documentation treating this kind of problem.
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  4. #4
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    Re: Randomness

    what exactly do you want to generate this sequence for?
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  5. #5
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    Re: Randomness

    Quote Originally Posted by SpringFan25 View Post
    what exactly do you want to generate this sequence for?
    I`m sorry but I did not understand your question. My idea is : can we create sequence clones? Assuming that the sequence A is somewhat equivalent to some sequence B. I od not know if there are some works about the equivalency between sequences. The modulo function states that 10 mod 3 is equivalent 13 mod 3 for example.
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  6. #6
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    Re: Randomness

    Thank you. I have found what I was looking for. Now I have an idea on how to create clone-like sequence starting from any sequence even random sequences.
    I will soon start working on it.
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  7. #7
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    Re: Randomness

    If any sequence is not random then there is a room for prediction. Hence we could build some sort of strategic choices. Optimizing some functions will be easier.
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