[EM] FW: The value of K, for the original method

[Michael Ossipoff]

Forgive the ">" marks--I could only post this by forwarding it, because this 
computer doesn't have copying.

Warren--

>
>Regarding the value of K, in the exponential approximation to the 
>state-size probability distribution, why should it be equal to the number 
>of states divided by the number of seats. The reason I ask is because 
>something like that would make things a lot easier, because finding A and B 
>(K and K') by least squares would be a lot of work.
>
>But why should the number of seats have a role in the formula that 
>approximates the probability density of state-sizes?
>
>As I said, I ask because any fact like that would greatly make easier the 
>task of fitting that curve.
>
>And I hope that you will add at least the first of the additions listed 
>below, to the quote from me at the website. If adding both of the additions 
>would give me too much space at the website, I'd understand, but at least 
>the brief 1st addition should be added. Surely I should have a little input 
>about what I say.
>
>Here's my request about that:
>
>Right after the quote from me, about equal representation expectation for 
>everyone being the natural goal, I'd like to add:
>
>"The original method can be derived from that goal."
>
>[end of first suggested addition]
>
>Then, optionally, if you don' mind adding this much:
>
>"For some particular two consecutive whole number numbers of population 
>quotas, and for the states in that population region, write expressions for 
>the total expected number of seats, and for the total expected number of 
>quotas possessed by those states. Set those two expressions equal, and 
>solve for the rounding point, R. That R, found in that way, makes the 
>expected s/q in that region =1. When R is so chosen in each such region, 
>between each pair of consecutive whole numbers, then all of those regions 
>have their expected s/q equal to 1, and therefore equal to eachother.
>
>Then, if we look at it with regard to those regions, without regard to 
>where in those regions the states are, everyone has the same representation 
>expectation. If we look at states' positions on a finer level than those 
>regions, there could be no such thing as unbias or equal representation 
>expectation. So this method makes everyone's represenation expection be 
>equal to the extent that that can be done."
>
>
>[end of 2nd suggested addition]
>
>If the 2nd addition is more than you want to add, then just add the first 
>one. Otherwise, could you add both?
>
>
>Mike
>
>