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Pal, Manisha; Tiensuwan, Montip

Exponentiated transmuted modified Weibull distribution. (English) Zbl 1389.90104

Eur. J. Pure Appl. Math. 8, No. 1, 1-14 (2015).
Summary: The paper introduces the exponentiated transmuted modified Weibull distribution, which contains a number of distributions as special cases. The properties of the distribution are discussed and explicit expressions for the quantiles, mean deviations and the reliability are derived. The distribution and moments of order statistics are also studied. Estimation of the model parameters by the methods of least squares and maximum likelihood are discussed. Finally, the usefulness of the distribution for modeling data is illustrated using real data.

Cited in 1 Document

MSC:

90B25 Reliability, availability, maintenance, inspection in operations research
62N05 Reliability and life testing
93E24 Least squares and related methods for stochastic control systems

Keywords:

reliability function; moment generating function; quantiles; mean deviation; order statistics; least squares estimation; maximum likelihood estimation

Software:

LMOMENTS
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References:

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