A new extended generalized Burr-III family of distributions.(English)Zbl 1388.60046
Summary: In this paper, we introduce a new extended generalized Burr III family of distributions in the so-called T-Burr III {Y} family by using the quantile functions of a few popular distributions. We derive the general mathematical properties of this extended family including explicit expressions for the quantile function, Shannon entropy, moments and mean deviations. Three new Burr III sub-families are then investigated, and four new extended Burr III models are discussed. The density of Burr III extended distributions can be symmetric, left-skewed, right-skewed or reversed-J shaped, and the hazard rate shapes can be increasing, decreasing, bathtub and upside-down bathtub. The potentiality of the newly generated distributions is demonstrated through applications to censored and complete data sets.
MSC:
| 60E05 | Probability distributions: general theory |
| 62E10 | Characterization and structure theory of statistical distributions |
| 62P10 | Applications of statistics to biology and medical sciences; meta analysis |
| 62H20 | Measures of association (correlation, canonical correlation, etc.) |
Software:
alr3Cite
References:
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