John Company

AAWSAP DIRD, An Introduction to the Statistical Drake Equation, March 2010

DOW-UAP-D127 · page 3 of 55

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Contents
1. Introduction .......................................................................................................iv
2. The Key Question: How Far are They ? .............................................................. 4
3. Computing N By Virtue of the Drake Equation (1961) ........................................ 7
4. The Drake Equation is Over-Simplified ............................................................. 10
5. The Statistical Drake Equation ......................................................................... 11
6. Solving the Statistical Drake Equation By Virtue of the Central Limit Theorem
(CLT) of Statistics .......................................................... , .................................... 13
7. An Example Explaining the Statistical Drake Equation ..................................... 15
8. Finding the Probability Distribution of the Et-Distance By Virtue of the Statistical
Drake Equation................................................................................................. 18
9. The "Data Enrichment Principle" as the Best CLT Consequence Upon the
Statistical Drake Equation (Any Number of Factors Allowed) ........................... 23
10. Conclusions .................................................................................................... 23
Appendix A: Proof of Shannon's 1948 Theorem Stating That the Uniform
Distribution is the "Most Uncertain" One Over a Finite Range of
Appendix B: Original Text of the Author's Paper #IAC-08-A4.1.4 Entitled the
Values ............................................................................................. 25
Statistical Drake Equation ............................................................... 28
References ........................................................................................................... 55
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