Transmuted Modified Inverse Rayleigh Distribution


  • Muhammad Shuaib Khan
  • Robert King



We introduce the transmuted modified Inverse Rayleigh
distribution by using quadratic rank transmutation map (QRTM), which
extends the modified Inverse Rayleigh distribution. A comprehensive
account of the mathematical properties of the transmuted modified Inverse
Rayleigh distribution are discussed. We derive the quantile, moments,
moment generating function, entropy, mean deviation, Bonferroni and
Lorenz curves, order statistics and maximum likelihood estimation The
usefulness of the new model is illustrated using real lifetime data.


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How to Cite

Khan, M. S., & King, R. (2015). Transmuted Modified Inverse Rayleigh Distribution. Austrian Journal of Statistics, 44(3), 17-29.