**Next message:**P.J.Wells@open.ac.uk: "[OPE-L:4055] Classifying industries"**Previous message:**Steve Keen: "[OPE-L:4052] Re: Re: RE: Re: Re: Re: m in Marx's theory"**Messages sorted by:**[ date ] [ thread ] [ subject ] [ author ]

Paul C wrote [#4047] > Why would the distribution of the log of the organic compositions be > gaussian? > > Does not matter if you take industries or firms. > > occ = c/v > > in log form = log c - log v > > if c and v are random variables, log occ is then in the form > of a sum of random variables, and thus will have a Gaussian distribution > > Is this by some version of the central limit theorem? Doesn't one need a sum of rather more variables than two to get this? It seems a very strong result: if true, any random variable which is the ratio or product of two others must have a log-normal distribution -- including, among others, not only the rate of profit and the rate of surplus value, but also Farjoun and Machover's psi (specific price). F&M claim that the first has a gamma distribution, the second is "almost" degenerate (tho' I suppose this doesn't rule out an "almost-degenerate" log normal), and the third normal (in fact, they use the central limit theorem to get this last). Paul, were you writing in haste here? Julian >

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