Post
Topic
Board Announcements (Altcoins)
Re: [ANN][CLAM] CLAMs, Proof-Of-Chain, Proof-Of-Working-Stake, a.k.a. "Clamcoin"
by
sgravina
on 19/01/2016, 21:04:38 UTC
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.