Bioequivalence and Bioavailability Forum

Geometric mean of normal dist etc. [General Sta­tis­tics]

posted by Helmut  – Vienna, Austria, 2013-08-07 18:20 (4693 d 15:40 ago) – Posting: # 11240
Views: 7,082

Hi ElMeastro,

❝ 1. If X~N(μ, σ2) then what is the geometric mean of X?

I would say the general case (for arbitrary u, s²) is not defined since (∏X)^1/N will not work if you have at least one negative value of X in the set. Should only always work if you think about a special case of the truncated normal distribution (i.e., X ∈ ℝ^>0 or X ]0, +∞] if you prefer).

❝ 2. Can you give me some other stats distribution, which is not log-normal, for which […]

No idea.

❝ 3. Can you guess why I ask?

Yes.

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Dif-tor heh smusma 🖖🏼 Довге життя Україна! 
Helmut Schütz


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Complete thread:

• Geometric mean of normal dist etc. ElMaestro 2013-08-07 13:18 
  • Geometric mean of normal dist etc.Helmut 2013-08-07 16:20
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