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.
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.
@article{
 title = {A new bimodal distribution for modeling asymmetric bimodal heavy-tail real lifetime data},
 type = {article},
 year = {2020},
 keywords = {Burr-type X distribution,Hazard function,Modeling},
 pages = {1-27},
 volume = {12},
 month = {12},
 day = {11},
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 created = {2021-08-31T15:29:46.874Z},
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 notes = {<b>From Duplicate 2 (<i>A new bimodal distribution for modeling asymmetric bimodal heavy-tail real lifetime data</i> - Butt, Nadeem S.; Khalil, Mohamed G.)<br/></b><br/>Query date: 2021-03-09 14:22:05},
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 abstract = {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.},
 bibtype = {article},
 author = {Butt, Nadeem S. and Khalil, Mohamed G.},
 doi = {10.3390/sym12122058},
 journal = {Symmetry},
 number = {12}
}

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