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In: Statistics and Probability

Estimation of the parameters for the Exponential and Weibull distributions. DATA SET A: 2, 14, 23,...

Estimation of the parameters for the Exponential and Weibull distributions.

DATA SET A: 2, 14, 23, 45, 67, 75, 89, 99, 101, 123, 138, 159, 188, 201, 203

DATA SET B: 13, 24, 35+, 65, 86, 99, 109, 118+, 131, 159, 189, 207

DATA SET C: 5, 13, 34+, 46+, 55, 74, 89, 93, 104, 112+, 126, 134, 145, 159, 167+, 173, 198, 203, 226, 241

DATA SET D: 9, 14, 85, 99, 126, 155, 169+, 199, 201+, 224+, 229, 256, 265, 289

(Note: + means censored time)

For each of the data sets above, produce the following:

  1. Median-rank non-parametric estimates for the Cumulative Distribution Function (CDF), Reliability function, Probability Density function (PDF), and Hazard function.
  2. Estimate the failure rate parameter for the 1-parameter exponential distribution using linear regression and comment on the strength of the fit.
  3. Estimate the shape and scale parameters for the 2-parameter Weibull distribution using linear regression and comment on the strength of the fit

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Expert Solution

orchestra answered 1 year ago
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