The following data were generated by the Weibull distribution of Exercise 4: 1.3043
Chapter 17, Problem 5(choose chapter or problem)
The following data were generated by the Weibull distribution of Exercise 4: 1.3043 0.49254 1.2742 1.4019 0.32556 0.29965 0.26423 1.0878 1.9461 0.47615 3.6454 0.15344 1.2357 0.96381 0.33453 1.1227 2.0296 1.2797 0.96080 2.0070 a. Obtain the maximum likelihood estimates of and , and estimate the asymptotic covariance matrix for the estimates. b. Carry out a Wald test of the hypothesis that = 1. c. Obtain the maximum likelihood estimate of under the hypothesis that = 1. d. Using the results of Parts a and c, carry out a likelihood ratio test of the hypothesis that = 1. e. Carry out a Lagrange multiplier test of the hypothesis that = 1
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