Nassar, Manal M.; Eissa, Fathy H. On the exponentiated Weibull distribution. (English) Zbl 1140.62308 Commun. Stat., Theory Methods 32, No. 7, 1317-1336 (2003). 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. Cited in 31 Documents MSC: 62E10 Characterization and structure theory of statistical distributions PDF BibTeX XML Cite \textit{M. M. Nassar} and \textit{F. H. Eissa}, Commun. Stat., Theory Methods 32, No. 7, 1317--1336 (2003; Zbl 1140.62308) Full Text: DOI References: [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.