NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: The Darn Old Cocked Hat - the sequel 1
From: Hanno Ix
Date: 2013 Mar 18, 19:09 -0700
From: Geoffrey Kolbe <geoffreykolbe@compuserve.com>
To: hannoix@att.net
Sent: Wednesday, March 13, 2013 11:04 AM
Subject: [NavList] Re: The Darn Old Cocked Hat - the sequel 1
From: Hanno Ix
Date: 2013 Mar 18, 19:09 -0700
Geoffry:
Grubb's book is a treasure for many, including the CelNav community.
Thank you for the hint. I enjoy working through it.
Well, Geoffry, Grubbs agrees with me - in a veiled form. This must have escaped you.
Grubbs fails to mention Rayleigh's name . As a matter of fact, he avoids working with
distributions altogether using point estimators instead.
See eq 24, pg 34, for instance, which expresses the Rayleigh distribution of a closely
related statistic with 2 degrees of freedom. He calls it Chi2 with 2*(n-1), with
n = 2 degrees of
freedom which is the Rayleigh distribution ( see also attachment.)
He uses the same concepts I used in my 'Memos' 
however in a way that far exceeds them.
We can talk more about that if you wish.
Regards
h
From: Geoffrey Kolbe <geoffreykolbe@compuserve.com>
To: hannoix@att.net
Sent: Wednesday, March 13, 2013 11:04 AM
Subject: [NavList] Re: The Darn Old Cocked Hat - the sequel 1
Hanno...
I don't buy your maths. The problem you outline in your two 'papers' is very similar to the statistical distribution of the fall of shot at a target. The standard work on that is "Statistical Measures of Accuracy for Riflemen and Missile Engineers" by Frank E Grubbs. It was self published in 1964, but is still the seminal and most cited work on this subject. I suggest you glance in that work to see how your subject should be treated. I should add that ammunition factories around the world shoot millions of rounds of ammo every day and measure the quality of their ammo using the statistical techniques laid out in Grubbs' monograph. If Grubbs was wrong, we would know about it!
I don't buy your maths. The problem you outline in your two 'papers' is very similar to the statistical distribution of the fall of shot at a target. The standard work on that is "Statistical Measures of Accuracy for Riflemen and Missile Engineers" by Frank E Grubbs. It was self published in 1964, but is still the seminal and most cited work on this subject. I suggest you glance in that work to see how your subject should be treated. I should add that ammunition factories around the world shoot millions of rounds of ammo every day and measure the quality of their ammo using the statistical techniques laid out in Grubbs' monograph. If Grubbs was wrong, we would know about it!
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