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Highly accurate range-adaptive lognormal approximation to lognormal sum distributions

Highly accurate range-adaptive lognormal approximation to lognormal sum distributions

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The distribution of the sum of independent non-identical lognormal variates is approximated by a lognormal distribution the parameters of which are suitably varied over the range of probabilities. The new method is highly accurate and keeps track of the exact sum distribution, outperforming previous lognormal approximations.

References

    1. 1)
      • S.C. Schwartz , Y.S. Yeh . On the distribution function and moments of powers sums with lognormal components. Bell Syst. Tech. J. , 1441 - 1462
    2. 2)
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    4. 4)
      • L. Fenton . The sum of log-normal probability distributions in scatter transmission systems. IRE Trans. Commun. Syst. , 57 - 67
http://iet.metastore.ingenta.com/content/journals/10.1049/el_20064091
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