Parameters of an unknown distributed random integer generator












0












$begingroup$


Let's say I have random integer generator generating values in the interval $[0,n]$ with $n$ finite.



The distribution is unknown.



I draw $k$ samples from my RNG, what can I say about the mean, median and variance? Can I compute confidence intervals?



What if $n$ is infinite?



For example:
Any side of a fair die has a probability of $frac{1}{6}$ to be rolled. Let's say I am given a (potentially) unfair die and I roll the die $k$ times. What can I conclude about the mean, variance and median?










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$endgroup$

















    0












    $begingroup$


    Let's say I have random integer generator generating values in the interval $[0,n]$ with $n$ finite.



    The distribution is unknown.



    I draw $k$ samples from my RNG, what can I say about the mean, median and variance? Can I compute confidence intervals?



    What if $n$ is infinite?



    For example:
    Any side of a fair die has a probability of $frac{1}{6}$ to be rolled. Let's say I am given a (potentially) unfair die and I roll the die $k$ times. What can I conclude about the mean, variance and median?










    share|cite|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$


      Let's say I have random integer generator generating values in the interval $[0,n]$ with $n$ finite.



      The distribution is unknown.



      I draw $k$ samples from my RNG, what can I say about the mean, median and variance? Can I compute confidence intervals?



      What if $n$ is infinite?



      For example:
      Any side of a fair die has a probability of $frac{1}{6}$ to be rolled. Let's say I am given a (potentially) unfair die and I roll the die $k$ times. What can I conclude about the mean, variance and median?










      share|cite|improve this question











      $endgroup$




      Let's say I have random integer generator generating values in the interval $[0,n]$ with $n$ finite.



      The distribution is unknown.



      I draw $k$ samples from my RNG, what can I say about the mean, median and variance? Can I compute confidence intervals?



      What if $n$ is infinite?



      For example:
      Any side of a fair die has a probability of $frac{1}{6}$ to be rolled. Let's say I am given a (potentially) unfair die and I roll the die $k$ times. What can I conclude about the mean, variance and median?







      statistics






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Dec 22 '18 at 8:53







      Auberon

















      asked Dec 22 '18 at 0:21









      AuberonAuberon

      307112




      307112






















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