We have failure data, and we need to calculate the scale and shape parameters.
Here is what I do:
1. Sort data in ascending order
2. Assign them a rank, such that the lowest data point is 1, second lowest is 2, etc.
3. Assign each data point a probability. For beginners, i recommend (i-0.5)/n, where i and n are rank and sample size, respectively.
4. Take natural log of data.
5. Calculate ln (-ln (1-P)) for every data, where P is probabiliyy calculated in step 3.
6. Linear regression with results of Step 5 as Y and results of Step 4 as X. Altrrnatively, you can fit a trendline in Excel.
7. Slope of the regression line is the shape parameter, aka Weibull modulus. The intercept is the negative of the product of shape parameter and natural log of scale parameter.
Good luck.
Dear Drs. Haiyang Zhang and Murat Tiryakioglu;
Thank you for your interest and collaboration.
Dear Mr. Tiyakioglu, see the following link
https://www.fpl.fs.fed.us/documnts/fplgtr/fpl_gtr264.pdf
If the data is less than 30 in number u can use the Weibull algorithm spread sheet. u can import the failures data and guess the beta values while u check for the RH and LH to be equal.
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