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Transmuted Exponentiated Inverse Rayleigh Distribution |
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PP: 337-343 |
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doi:10.18576/jsap/050215
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Author(s) |
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Muhammad Ahsan ul Haq,
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Abstract |
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| A generalized form of Inverse Rayleigh distribution was derived by using quadratic rank transmutation map (QTRM),
known as Transmuted Exponentiated Inverse Rayleigh (TEIR) distribution. A comprehensive account of the mathematical properties
of TEIR distribution was discussed. We have derived its moments, incomplete moments, renyi entropy, random number generator and
quantile function. Furthermore, expressions of hazard and survival function were derived. The plots of probability density function and
hazard function were also present. Maximum likelihood equations and the order statistics densities were derived. The utility of the
distribution is optimized through a real data set application. |
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