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A comment on PCG – A Family of Better Random Number Generators. Parent comment

Re:PCG – A Family of Better Random Number Generators by Uzomidy on Tuesday November 11, 2014 @02:54PM (#8591791)
Looking at the PCG paper, it shows that a basic XorShift generator doesn't pass statistical tests as it gets bigger. Basically, there are some tests it never passes no matter how big it gets.

But a tiny change (XorShift*) is enough to get a generator that passes empirical statistical tests.

The page about other RNGs has lots of good info about this stuff.

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Re:PCG – A Family of Better Random Number Generators by aidenn0 on Tuesday November 11, 2014 @04:32PM (#8592312)
Ah, you're right, the 128 bit xorshift* is what I was thinking of.
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