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Chaos and Randomness 
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#1
Jan2307, 11:50 AM

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I recently heard that there are two main phenomenons which are discussed in statistics: chaos and randomness. What exactly is the difference between the two?



#2
Jan2307, 12:28 PM

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I wasn't aware the chaos was discussed in statistics! Chaos involves deterministic (i.e. nonrandom) phenomena that are so complex the results can LOOK random but aren't.
And they don't have to be all that complex: Consider this example. For any 0< x< 1, double it, then, if that result is greater than 1, drop the integer part. For example, if x= 1/3, doubling gives 2/3, doubling again 4/3= 1+ 1/3 which reduces to 1/3 when we drop the integer part. Repeating just gives the sequence 1/3, 2/3, 1/3, 2/3, ... But if you use 0.33333333333 on a calculator, say, and do the same thing it won't be long until you are getting very different results. 


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