A new bimodal distribution for modeling asymmetric bimodal heavy-tail real lifetime data. Butt, N., S. & Khalil, M., G. Symmetry, 12(12):1-27, 12, 2020.
A new bimodal distribution for modeling asymmetric bimodal heavy-tail real lifetime data [pdf]Paper  doi  abstract   bibtex   
We introduced and studied a new generalization of the Burr type X distribution. Some of its properties were derived and numerically analyzed. The new density can be “right-skewed” and symmetric with “unimodal” and many “bimodal” shapes. The new failure rate can be “increasing,” “bathtub,” “J-shape,” “decreasing,” “increasing-constant-increasing,” “reversed J-shape,” and “upside-down (reversed U-shape).” The usefulness and flexibility of the new distribution were illustrated by means of four asymmetric bimodal right-and left-heavy tail real lifetime data.

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