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Home/ Questions/Q 4059994
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Editorial Team
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Editorial Team
Asked: May 20, 20262026-05-20T15:16:54+00:00 2026-05-20T15:16:54+00:00

I want to get a boost::variate_generator which gives me numbers distributed to the lognormal

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I want to get a boost::variate_generator which gives me numbers distributed to the lognormal distribution according to http://en.wikipedia.org/wiki/Log-normal_distribution.

There is a distribution in boost::math that implements the formula from the wikipedia entry, but it doesn’t work with the variate_generator.
And the one from boost::random, that works with the variate_generator, is somewhat different from the above mentioned.

http://www.boost.org/doc/libs/1_46_1/doc/html/boost/lognormal_distribution.html. Mu needs to be >0 and mu and sigma are calculated instead of just used as given.

Does someone have any idea how I can get it to work with the former formula?

EDIT

@ Howard Hinnant:

there is this init() function which gets called in the constructor. So the formula is the same, but sigma and mean get calculated this way (why I don’t know):

   _nmean = log(_mean*_mean/sqrt(_sigma*_sigma + _mean*_mean));
  _nsigma = sqrt(log(_sigma*_sigma/_mean/_mean+result_type(1)));
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  1. Editorial Team
    Editorial Team
    2026-05-20T15:16:55+00:00Added an answer on May 20, 2026 at 3:16 pm

    I may be mistaken, but from inspecting the boost code, it looks to me like the boost lognormal_distribution is consistent with the wikipedia description. The documentation would be consistent if the boost documentation dropped the N subscript from mu and sigma.

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