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I/ToC.md

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&emsp;&ensp; 3.6.2. **[Probability density function](/P/lognorm-pdf)** <br>
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&emsp;&ensp; 3.6.3. **[Cumulative distribution function](/P/lognorm-cdf)** <br>
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&emsp;&ensp; 3.6.4. **[Quantile Function](/P/lognorm-qf)** <br>
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&emsp;&ensp; 3.6.5. **[Mean](/P/lognorm-mean)** <br>
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&emsp;&ensp; 3.6.5. **[Mean](/P/lognorm-mean)** <br>
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&emsp;&ensp; 3.6.6. **[Median](/P/lognorm-med)** <br>
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&emsp;&ensp; 3.6.7. **[Mode](/P/lognorm-mode)** <br>
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&emsp;&ensp; 3.6.8. **[Variance](/P/lognorm-var)** <br>

P/lognorm-cdf.md

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$$ \label{eq:lognorm-cdf-s2}
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\begin{split}
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F_X(x) &= \frac{1}{\sigma \sqrt{2 \pi}} \int_{(-\infty-\mu)/(\sqrt{2} \sigma)}^{(\ln x-\mu)/(\sqrt{2} \sigma)} \frac{1}{\exp( \sqrt{2} \sigma t + \mu)} \cdot \exp \left(-t^2 \right) \, \mathrm{d} \left( \exp \left( \sqrt{2} \sigma t + \mu \right) \right) \\
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F_X(x) &= \frac{1}{\sigma \sqrt{2 \pi}} \int_{(-\infty-\mu)/(\sqrt{2} \sigma)}^{(\ln x-\mu)/(\sqrt{2} \sigma)} \frac{1}{\exp( \sqrt{2} \sigma t + \mu)} \cdot \exp \left(-t^2 \right) \, \mathrm{d} \left[ \exp \left( \sqrt{2} \sigma t + \mu \right) \right] \\
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&=\frac{\sqrt{2} \sigma}{\sigma \sqrt{2 \pi}} \int_{-\infty}^{\frac{\ln x-\mu}{\sqrt{2} \sigma}} \frac{1}{\exp( \sqrt{2} \sigma t + \mu)} \cdot
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\exp(-t^2) \cdot \exp \left( \sqrt{2} \sigma t + \mu \right) \, \mathrm{d}t \\
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&= \frac{1}{\sqrt{\pi}} \int_{-\infty}^{\frac{\ln x-\mu}{\sqrt{2} \sigma}} \exp(-t^2) \, \mathrm{d}t \\

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