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From: H J Ruhl <HalRuhl.domain.name.hidden>

Date: Thu, 21 Feb 2002 22:20:30 -0800

Dear Alastair:

An clarification of my analysis of your -1 to + 10 example:

That is your model and it is one dimensional [call it x] that is it has one

venue.

Now add a dimension call it y that is infinite and perpendicular to your

example's x. This is an infinite number of venues. Add the y boundaries

at x = -1 and x = +10. Now randomly sample on this bounded xy plane. The

area of the plane below zero on the x dimension is the same as the area

above zero on the x dimension i.e. infinite = no bias as to sign mix of the

resulting random sample of reals on x.

{near the end of my post a further clarification}

What you seem to be saying re my approach using the above analysis of your

example is that either of the boundaries of the above plane in the y

dimension may meander between x = -1 and x = + 1. With this I agree.

Actually its essential. So what? The areas above and below the x = 0 line

are still equal i.e. infinite so a random sample in the xy plane over this

structure still produces no bias as to sign mix of the resulting random

sample of reals on x.

Hal

Received on Thu Feb 21 2002 - 19:25:43 PST

Date: Thu, 21 Feb 2002 22:20:30 -0800

Dear Alastair:

An clarification of my analysis of your -1 to + 10 example:

That is your model and it is one dimensional [call it x] that is it has one

venue.

Now add a dimension call it y that is infinite and perpendicular to your

example's x. This is an infinite number of venues. Add the y boundaries

at x = -1 and x = +10. Now randomly sample on this bounded xy plane. The

area of the plane below zero on the x dimension is the same as the area

above zero on the x dimension i.e. infinite = no bias as to sign mix of the

resulting random sample of reals on x.

{near the end of my post a further clarification}

What you seem to be saying re my approach using the above analysis of your

example is that either of the boundaries of the above plane in the y

dimension may meander between x = -1 and x = + 1. With this I agree.

Actually its essential. So what? The areas above and below the x = 0 line

are still equal i.e. infinite so a random sample in the xy plane over this

structure still produces no bias as to sign mix of the resulting random

sample of reals on x.

Hal

Received on Thu Feb 21 2002 - 19:25:43 PST

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