Real random numbers
Generated real (true) random numbers should be realizations of independent identically distributed random variables, and they should be unpredictable, meaning that the next generated number is unpredictable from the previously generated random numbers. The lottery and gambling industries, for example, rely on them. But are true/real random numbers also useful in statistics? Before answering this question, we will discuss real random number generation.
As a source of random numbers, the following random number generators might be used:
Flipping a coin, rolling dice, roulette, and so on
The decaying of a radioactive source
Noise from the atmosphere (www.random.org)
It can be observed that a physical process is behind the generation of true random numbers.
By generating, for example, a sequence of zeroes and ones, these bits should be equally likely and independently occur from each other. To evaluate this property, statistical tests can be used.
However, true random number generators...
