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Defense Intelligence Reference Document An Introduction To The Statistical Drake Equation

Defense Intelligence Agency · 55 pages · text from the file's own layer

This Defense Intelligence Agency reference document, dated 11 March 2010, is one of the advanced technology reports produced in FY 2009 under the Advanced Aerospace Weapon System Applications (AAWSA) program. It introduces the Statistical Drake Equation, which replaces each factor of Frank Drake's 1961 equation with a uniform random variable to estimate how far away the nearest extraterrestrial civilization is. In the worked example, there is a 75% probability that the nearest civilization lies between 1,361 and 3,979 light years from Earth.

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equation more and more new scientific information
as soon as it becomes available. In the long run,
the Stati~tical Drake equation might just become a
huge computer code, growing up in size and
especially in the depth of the ~cientific information
it contained. It would thu~ be Humanity's first
"Encyclopaedia Galactica,"
Unfortunately, to extend the Drake equation to
Statistics, it \Vas necessary to use a mathematical
apparatu~ that is more sophisticated than just the
simple product of seven numhers.
When this author had !he honour and privilege
to present his results at the SETI Institute on April
I 1117, 2008, in front of an audience also including
Professor Frank Drake, he felt he had to add these
words: "My apologies, Frank, for disrupting the
beautiful simplicity of your equation,"
ACKNOWLEDGEMENTS
The author is grateful to Dr~. Jill Tarter, Paul
Davies, Seth Shostak, Doug Vakoch, Tom Pierson,
Carol Oliver. Paul Shuch and Kathryn Denning for
attending his first presentation ever about these
topics at the '·Beyond" Center of the University of
Arizona at Phoenix on February 8th , 2008. He also
would like to thank Dan Werthimer and his School
of SETI young experts for keeping alive the
54
interplay between experimental and theoretical
SETI. But the greatest ·'thanks" goes of course to
the Teacher to all of us: Professor hank D. Drake,
whose equation opened a ne\v way of thinking
about the past and the future of Humans in the
Galaxy.
REFERENCES
[ I J http://en.wikipedia.org/wiki/Drake equation
[2J http://cn.wikipcdia.org/wiki/S ETI
[3 j http://en. wikipedia.on::/wiki/ Aqrobiolol?:v
[4] http://en.wikipedia.org/wiki/Frank Drake
[.5] Athanasios Papoulis and S. Lnnikrishna Pillai,
"Probability, Random Variables and Stochastic
Processes'", Fourth Edition, Tata McGraw-Hill.
New Delhi, 2002. ISBN 0-07-048658-1.
[6 j http://en.wikipedia.org/w1k1/Gamma distribution
171 hup://en.wikipcdia.orn/wiki/Ccntral limil theme
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[81 hup ://en. wi k ipcd i,1. om/ \Vi ki/C umu Ianl~
[91 hup://en. wikipcdia.orn/\viki/l\1cdian
[l0].kffrey Bennett and Seth Shustak, "Life in the
Universe", Sernnd Edition. Pearson - Addi~(m-
Weslcy, San Francisco, 2007. ISBN 0-8053-
4753-4. Sec in particular page 404.
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Report, from the dia collection. The PDF is mirrored here; the original link is above. 55 pages are in the text index: search them above, or from the library's search.