Transmuted Modified Inverse Rayleigh Distribution

Austrian Journal of Statistics

article

Muhammad Shuaib Khan¹  Robert King¹ 

[1] University of Newcastle

关键词: modified inverse Rayleigh distribution;    moments;    order statistics;    maximum likelihoodestimation.;   

DOI  :  10.17713/ajs.v44i3.21

学科分类：医学（综合）

来源: Austrian Statistical Society

【 摘 要 】

We introduce the transmuted modified Inverse Rayleighdistribution by using quadratic rank transmutation map (QRTM), whichextends the modified Inverse Rayleigh distribution. A comprehensiveaccount of the mathematical properties of the transmuted modified InverseRayleigh distribution are discussed. We derive the quantile, moments,moment generating function, entropy, mean deviation, Bonferroni andLorenz curves, order statistics and maximum likelihood estimation Theusefulness of the new model is illustrated using real lifetime data.

【 授权许可】

CC BY