TY - JOUR AU - Khan, Muhammad Shuaib AU - King, Robert PY - 2015/10/14 Y2 - 2024/03/29 TI - Transmuted Modified Inverse Rayleigh Distribution JF - Austrian Journal of Statistics JA - AJS VL - 44 IS - 3 SE - Articles DO - 10.17713/ajs.v44i3.21 UR - https://www.ajs.or.at/index.php/ajs/article/view/vol44-3-2 SP - 17-29 AB - We introduce the transmuted modified Inverse Rayleigh<br />distribution by using quadratic rank transmutation map (QRTM), which<br />extends the modified Inverse Rayleigh distribution. A comprehensive<br />account of the mathematical properties of the transmuted modified Inverse<br />Rayleigh distribution are discussed. We derive the quantile, moments,<br />moment generating function, entropy, mean deviation, Bonferroni and<br />Lorenz curves, order statistics and maximum likelihood estimation The<br />usefulness of the new model is illustrated using real lifetime data. ER -