Question on how to assure randomness for a set of dependent variables

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SUMMARY

The discussion centers on ensuring randomness in a set of dependent variables for a function's output. The user seeks clarity on whether the Central Limit Theorem applies when combining independent random variables to achieve randomness. A key insight provided is the distinction between variables and their observed values, with practical suggestions including using coin flips, dice, or random number tables to generate random values corresponding to the variables.

PREREQUISITES
  • Understanding of the Central Limit Theorem
  • Basic knowledge of dependent and independent variables
  • Familiarity with statistical concepts of randomness
  • Experience with random number generation techniques
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  • Research methods for generating random values, such as using random number tables
  • Explore the implications of the Central Limit Theorem in practical applications
  • Study the differences between dependent and independent variables in statistics
  • Learn about statistical simulations to model randomness in complex systems
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Statisticians, data scientists, and anyone involved in modeling or simulating random processes in functions with dependent variables.

venvidu
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Hello all,

Please excuse my naive question that follows.

I do not have much experience in Statistics and need to obtain a set of variables which assures randomness in the variables.

From central limit theorem, I believe addition of random independent variables assures randomness of the overall value ?

In my case, there is a function that takes a set of variables. What I need is to assure randomness in the output of the function. In this case, some of the variables are implicitly dependent on each other. At this point, I am not so clear as to what kind of approach would be proper between just using separate random variables and other approaches with mathematical background, if exist at all ?

Thanks

venvidu
 
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I believe you are somewhat confused between variables and values (observed values of the variable). Flip coins, dice or use random number tables to get random values corresponding to some random variable.
 

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