Template:Example: Normal General Example All Data Type: Difference between revisions
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(Created page with ''''Normal Distribution General Example All Data Type''' Suppose our data set includes left and right censored, interval censored and complete data as shown in the following tabl…') |
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::<math>\begin{align} | ::<math>\begin{align} | ||
& \widehat{\mu }= & 48.11 \\ | & \widehat{\mu }= & 48.11 \\ | ||
& {{{\hat{\sigma }}}_{T}}= & 26.42 | & {{{\hat{\sigma }}}_{T}}= & 26.42 | ||
\end{align}</math> | \end{align}</math> | ||
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::<math>\begin{align} | ::<math>\begin{align} | ||
& \widehat{\mu }= & 49.99 \\ | & \widehat{\mu }= & 49.99 \\ | ||
& {{{\hat{\sigma }}}_{T}}= & 30.17 | & {{{\hat{\sigma }}}_{T}}= & 30.17 | ||
\end{align}</math> | \end{align}</math> | ||
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::<math>\begin{align} | ::<math>\begin{align} | ||
& \widehat{\mu }= & 51.61 \\ | & \widehat{\mu }= & 51.61 \\ | ||
& {{{\hat{\sigma }}}_{T}}= & 33.07 | & {{{\hat{\sigma }}}_{T}}= & 33.07 | ||
\end{align}</math> | \end{align}</math> | ||
Revision as of 06:38, 18 July 2012
Normal Distribution General Example All Data Type
Suppose our data set includes left and right censored, interval censored and complete data as shown in the following table.
Solution
This data set can be entered into Weibull++ by selecting the data type Times to Failure, with Right Censored Data (Suspensions), with Interval and Left Censored Data and with Grouped Observations.
The computed parameters using maximum likelihood are:
- [math]\displaystyle{ \begin{align} & \widehat{\mu }= & 48.11 \\ & {{{\hat{\sigma }}}_{T}}= & 26.42 \end{align} }[/math]
For rank regression on x:
- [math]\displaystyle{ \begin{align} & \widehat{\mu }= & 49.99 \\ & {{{\hat{\sigma }}}_{T}}= & 30.17 \end{align} }[/math]
For rank regression on y:
- [math]\displaystyle{ \begin{align} & \widehat{\mu }= & 51.61 \\ & {{{\hat{\sigma }}}_{T}}= & 33.07 \end{align} }[/math]