Abstract
The structural probability distribution of the parameters of the two-parameter Weibull distribution is derived directly from considerations of the group structure of its density function. In the process we compare the structural method of inference with the confidence interval approach and reveal their similarities and differences. Structural prediction densities of arbitrary ordered statistics from Weibull distributions are also given to complement a previous work by Bury and Burnholtz.
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Bury, K.V. and Bernholtz (1971), On structural inference applied to the Weibull distribution. Statistische Hefte 12, 177–192.
Bury, K.V. and Bernholtz (1971), Life testing: structural inference on the exponential model. INFOR, Vol. 9, No. 2, 148–160.
David, H.A. (1970), Order Statistics, New York: John Wiley & Sons.
Fraser, D.A.S. (1968), The Structure of Inference. New York: John Wiley & Sons.
Lawless, J.F. (1972), Confidence interval estimation for the parameters of the Weibull distribution. Utilitas Mathematica, Vol. 2, 71–87.
Lawless, J.F. (1972), Some comments on two papers by Bury and Bernholtz. INFOR, Vol. 10, No. 3, 320–323.
Sherif, Aly (1973), Some aspects of statistical inference. Unpublished M. Sc. thesis, Carleton University.
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This research was partially supported with a research grant from Carleton University
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Tan, P., Sherif, A. Some remarks on structural inference applied to weibull distribution. Statistische Hefte 15, 335–341 (1974). https://doi.org/10.1007/BF02922915
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DOI: https://doi.org/10.1007/BF02922915