1P-Exponential Data Analysis with No Failures: Difference between revisions
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Kate Racaza (talk | contribs) (Created page with '{{Reference Example}} This example compares the calculation for the case when no failures are observed. {{Reference_Example_Heading1}} The formulas on page 168 in the book ''…') |
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{{Reference Example}} | {{Reference Example}} | ||
This example | This example validates the calculations for the case when no failures are observed. | ||
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where ''TTT'' is the total test time and <math>x^{2}_{(1-\alpha; 2)}\,\!</math> is the <math>1 - \alpha \,\!</math> of a chi-squared distribution with degree of freedom of 2. <math>1 - \alpha \,\!</math> is also the confidence level. The equation above gives the lower 1-sided confidence bound for <math>\theta \,\!</math>. | where ''TTT'' is the total test time and <math>x^{2}_{(1-\alpha; 2)}\,\!</math> is the <math>1 - \alpha \,\!</math> percentile of a chi-squared distribution with degree of freedom of 2. <math>1 - \alpha \,\!</math> is also the confidence level. The equation above gives the lower 1-sided confidence bound for <math>\theta \,\!</math>. | ||
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::<math> | ::<math>\theta = \frac{2TTT}{X^{2}_{1-\alpha; 2}} = \frac{28000}{5.99146} = 4673.31\,\!</math> | ||
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