Template:Example: Lognormal General Example Complete Data

Lognormal Distribution General Example Complete Data

Determine the lognormal parameter estimates for the data given in Table 9.4.

Solution

Using Weibull++, the computed parameters for maximum likelihood are:


 * $$\begin{align}

& {{{\hat{\mu }}}^{\prime }}= & 2.83 \\ & {{{\hat{\sigma }}}_}= & 1.10 \end{align}$$

For rank regression on $$X\ \ :$$


 * $$\begin{align}

& {{{\hat{\mu }}}^{\prime }}= & 2.83 \\ & {{{\hat{\sigma }}}_}= & 1.24 \end{align}$$

For rank regression on $$Y\ \ :$$


 * $$\begin{align}

& {{{\hat{\mu }}}^{\prime }}= & 2.83 \\ & {{{\hat{\sigma }}}_}= & 1.36 \end{align}$$