Template:Example: Normal General Example All Data Type: Difference between revisions
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!colspan="5" style="text-align:center"| Grouped Data Times-to-Failure with Suspensions and Intervals (Interval, Left and Right Censored) | |||
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Revision as of 06:07, 10 August 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.
Grouped Data Times-to-Failure with Suspensions and Intervals (Interval, Left and Right Censored) | ||||
---|---|---|---|---|
Data point index | Number in State | Last Inspection | State (S or F) | State End Time |
1 | 1 | 10 | F | 10 |
2 | 1 | 20 | S | 20 |
3 | 2 | 0 | F | 30 |
4 | 2 | 40 | F | 40 |
5 | 1 | 50 | F | 50 |
6 | 1 | 60 | S | 60 |
7 | 1 | 70 | F | 70 |
8 | 2 | 20 | F | 80 |
9 | 1 | 10 | F | 85 |
10 | 1 | 100 | F | 100 |
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]