Journal
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
Volume 46, Issue 8, Pages 4119-4136Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03610926.2015.1078478
Keywords
Entropy; generating function; maximum likelihood; order statistic; transmuted family; 62N01; 62N02; 62E10
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We introduce a new class of continuous distributions called the generalized transmuted-G family which extends the transmuted-G class. We provide six special models of the new family. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Renyi and Shannon entropies, order statistics and probability weighted moments are derived. The estimation of the model parameters is performed by maximum likelihood. The flexibility of the proposed family is illustrated by means of three applications to real data sets.
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