The transmuted Weibull-G family of distributions

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A new extension of Lindley distribution: modified validation test, characterizations and different methods of estimation (2019, unknown): “In the literature, certain generalizations on the Li distribution are proposed and studied (Ghitany et al. , 2008a, b; Deniz and Ojeda, 2011; Ghitany et al. , 2011; Nadarajah et al. , 2011; Alizadeh et al. , 2016, 2017).”
The Generalized Odd Weibull Generated Family of Distributions:Statistical Properties and Applications (2018, methodology): “can be derived from equation (8) as MX(t) = ∑i,j=0 wi,jMαβ(i+1)+αj(t), where Mζ(t) is the mgf of Zζ.”
The Transmuted Topp-Leone G Family of Distributions: Theory, Characterizations and Applications (2021, methodology): “IfX has pdf (6), then clearly (18) holds.”
The Transmuted Odd Fréchet-G Family of Distributions: Theory and Applications (2020, background): “For notable studies in this regard, we refer the reader to the transmuted exponentiated generalized-G by [12], new transmuted-G family by [13], generalized transmuted-G family by [14], transmuted Weibull-G family by [15], transmuted odd Lindley-G family by [16], generalized transmuted-G family by [1”