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On the exponentiated Weibull distribution. (English) Zbl 1140.62308
Summary: An important extension of the Weibull family – the exponentiated Weibull distribution – is reviewed with various new statistical measures. An explicit expression for the mode is derived and a comparison between the authors’ and Mudholkar and Hutson’s results are tabulated for various values of the parameters of the distribution. A general formula for the mean residual life function is obtained.

MSC:
62E10 Characterization and structure theory of statistical distributions
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[1] DOI: 10.1080/03610929808832662 · Zbl 0887.62016 · doi:10.1080/03610929808832662
[2] DOI: 10.1080/03610929808832134 · Zbl 0900.62534 · doi:10.1080/03610929808832134
[3] DOI: 10.1109/24.799897 · Zbl 04555584 · doi:10.1109/24.799897
[4] DOI: 10.1109/24.765929 · Zbl 04552915 · doi:10.1109/24.765929
[5] Leemis L. M., Reliability: Probabilistic Models and Statistical Methods (1995) · Zbl 0833.62093
[6] DOI: 10.1109/24.406570 · Zbl 04527630 · doi:10.1109/24.406570
[7] DOI: 10.1287/opre.44.3.497 · Zbl 0864.90053 · doi:10.1287/opre.44.3.497
[8] DOI: 10.1080/03610929608831886 · Zbl 0887.62019 · doi:10.1080/03610929608831886
[9] DOI: 10.2307/1269735 · Zbl 0900.62531 · doi:10.2307/1269735
[10] DOI: 10.1109/24.229504 · Zbl 0800.62609 · doi:10.1109/24.229504
[11] DOI: 10.1109/TR.1985.5222253 · Zbl 0574.90039 · doi:10.1109/TR.1985.5222253
[12] DOI: 10.2307/2284292 · Zbl 0224.62007 · doi:10.2307/2284292
[13] DOI: 10.1109/24.765930 · Zbl 04552916 · doi:10.1109/24.765930
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