توزیع لوجیت-نرمال

مشخصات

f_{X}(x;\mu ,\sigma )={\frac {1}{\sigma {\sqrt {2\pi }}}}\,e^{-{\frac {(\operatorname {logit} (x)-\mu )^{2}}{2\sigma ^{2}}}}{\frac {1}{x(1-x)}},\quad x\in (0,1)

که در آن μ میانگین و σ انحراف معیار مربوط به لوجیت متغیر توزیع هستند.

Frederic, P. & Lad, F. (2008) Two Moments of the Logitnormal Distribution. Communications in Statistics-Simulation and Computation. 37: 1263-1269
Mead, R. (1965). "A Generalised Logit-Normal Distribution". Biometrics. 21 (3): 721–732. doi:10.2307/2528553. JSTOR 2528553.

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