isn't the lognormal distribution the same as logarithmic? Just guessing.
Else maybe you could look in the direction of exponential distributions.
I am just guessing though... :)
good luck!
Edzo
"Vincent Vinh-Hung" <[EMAIL PROTECTED]> wrote in message
[EMAIL PROTECTED]">news:[EMAIL PROTECTED]...
> General question,
> I've seen two descriptions of "logarithmic distribution".
> One is related to the frequency of digits called Benford's law (digit 1
> occurs more frequently than 2, 2 than 3, etc) whose explanation is that
> it is the result of a mixture of distributions.
> The other description is a 2-page paragraph The logarithmic distribution
> in Kendall and Stuart (1977, The Advanced theory of statistics, Vol 1,
> 4th edition, pp 139-140), attributing the derivation to Fisher (1943).
> Are these concepts of logarithmic distribution the same or not?
>
> Second question I would like to ask: Kendall and Stuart give an
> example of a distribution of the logarithmic type from Fisher (1943),
> "distribution of butterflies in Malaya, with theoretical frequencies
> given by the logarithmic distribution"
> No. of species Theoretical frequency Observed frequency
> 1 135.05 118
> 2 67.33 74
> 3 44.75 44
> 4 33.46 24
> 5 26.69 29
> 6 22.17 22
> 7 18.95 20
> etc ...
> From what I've understood, the Theoretical frequency was generated
> by
> - ( q^r ) / ( r * ln(1-q) )
> in which r is the No. of species, q is the probability of the presence
> of an attribute.
> How was, how can the fit be realized?
>
> With thanks in advance,
> Vincent Vinh-Hung
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