tailieunhanh - Engineering Statistics Handbook Episode 10 Part 8

Tham khảo tài liệu 'engineering statistics handbook episode 10 part 8', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | . How do you plot reliability data not readily available. NIST SEMATECH HOME TOOLS AIDS SEAftCH BACK NỄXĨ http div898 handbook apr section2 2 of 2 5 1 2006 10 42 00 AM . Probability plotting Corresponding to the readout time Tj use a CDF or Percentile estimate of 100x . Ì n Plotting Positions Multicensored Data The calculations are more complicated for multicensored data. K-M estimates described in a preceding section can be used to obtain plotting positions at every failure time. The more precise Modified K-M Estimates are recommended. They reduce to the Censored Type I or the Censored Type II median rank estimates when the data consist of only failures without any removals except possibly at the end of the test. How Special Papers Work It is not difficult to do probability plotting for many reliability models even without specially constructed graph paper The general idea is to take the model CDF equation and write it in such a way that a function of F t is a linear equation of a function of t. This will be clear after a few examples. In the formulas that follow In always means natural logarithm while log always means base 10 logarithm . a Exponential Model Take the exponential CDF and rewrite it as f 1 In InlO ẤÍ equivalently If we let y l 1 - F t andv then log y is linear in X with slope InlO. This shows we can make our own special exponential probability paper by using standard semi log paper with a logarithmic j-axis . Use the plotting position estimates for F tj described above without the 100 X multiplier to calculate pairs of Xj yj points to plot. If the data are consistent with an exponential model the resulting plot will have points that line up almost as a straight line going through the origin with slope InlO. b Weibull Model Take the Weibull CDF and rewrite it as http div898 handbook apr section2 2 of 6 5 1 2006 10 42 04 AM Inin ỵhư - y in a or log In 1-w ỵ log t -ỵ log a If we let y .

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