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Family of T-Inverse Exponential {Y} Distributions: Properties and Applications |
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PP: 29-42 |
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doi:10.18576/sjm/080201
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Author(s) |
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Abudulai Sandow,
Suleman Nasiru,
Solomon Sarpong,
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Abstract |
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| Statisticians have been exploring the generalization and extension of families of distributions in order to make them flexible for data analysis. In this study, a new family of inverse exponential distribution called T-IE{Y} family of distributions has been developed. Statistical properties and estimation of parameters are explored. Three special cases of the family of distributions namely, Log-logistic-IE{Weibull}, Weibull-IE{Lomax} and Gumbel-IE{Logistic} distributions were developed. By varying the values of the parameters the density functions assume various shapes such as approximately symmetric, positively skewed, negatively skewed, J- shape and reversed-J shape. The hazard rate function on the other hand may take both monotonic and non-monotonic shapes namely increasing, decreasing and inverted bathtub shape. Empirical applications of the special distributions to real life data sets are included.
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