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Canadian Center of Science and Education
International Journal of Statistics and Probability
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This paper introduces a new four-parameter lifetime model, which extends the Marshall-Olkin Fréchet distribution introduced by Krishna et al. (2013), called the transmuted Marshall-Olkin Fréchet distribution. Various structural properties including ordinary and incomplete moments, quantile and generating function, Rényi and q-entropies and order statistics are derived. The maximum likelihood method is used to estimate the model parameters. We illustrate the superiority of the proposed distribution over other existing distributions in the literature in modeling two real life data sets.
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Afify, Ahmed Z.; Hamedani, Gholamhossein; Ghosh, Indranil; and Mead, M. E., "The Transmuted Marshall-Olkin Fréchet Distribution: Properties and Applications" (2014). Mathematics, Statistics and Computer Science Faculty Research and Publications. 410.