Re: [ANN][CLAM] CLAMs, Proof-Of-Chain, Proof-Of-Working-Stake, a.k.a. "Clamcoin"

Funny thing about Poisson Processes: Every day you don't stake, you still have 100,000 days to go.

Here's a fun thing:

Pick a random point in time, then:

A) the average amount of time from that point to the next CLAM block is 1 minute
B) the average amount of time from that point to the previous CLAM block is also 1 minute
C) the average time between CLAM blocks is also 1 minute

Wouldn't you expect A + B = C? Yet A, B, and C are all 1 minute.

The error is in your final assertion, "Wouldn't you expect ...". No I wouldn't expect that. First, statements A and B don't make sense. The average amount of time from the chosen point in time is a singular number. You probably mean the average of a distribution of randomly chosen points. If you do mean that then A, B and C are all saying the same thing, because the occurrence of blocks is a poisson distributed random process. The time a block is created is as good a chosen time as any. Thus I would expect 1 minute = 1 minute = 1 minute.

Though the way he wrote it sounds like it would be valid when watching the past of created blocks too. Or when he chose a time in the future then the blocks that are solved around these points in time, when the time went time finally, would make it correct too.

Maybe he meant it different but if that statement is only true theoretically then it might have stated.