Suppose I have a set of all integers less than k and > 0, and you after N random selections want to estimate k. Presumably as k increases your accuracy drops in absolute terms. But, if you do the same thing using the reals so there is infinite number of numbers from zero to k you can still make a bounds for k.
Granted there are now infinite number of reals in your estate, but you can still pick an N such that an arbitrary % of the time k is +/- an arbitrary % of your guesses.
Suppose I have a set of all integers less than k and > 0, and you after N random selections want to estimate k. Presumably as k increases your accuracy drops in absolute terms. But, if you do the same thing using the reals so there is infinite number of numbers from zero to k you can still make a bounds for k.
Granted there are now infinite number of reals in your estate, but you can still pick an N such that an arbitrary % of the time k is +/- an arbitrary % of your guesses.