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A B S T R A C T This study introduces generalized transmuted family of distributions. We investigate the special cases of our generalized transmuted distribution to match with some other generalization available in literature. The transmuted distributions are applied to Weibull distribution to find generalized rank map transmuted Weibull distribution. The distributional characteristics such as probability curve, mean, variance, skewness, kurtosis, distribution of largest order statistics, anddoi:10.2991/jsta.d.210129.001 fatcat:dabbzztzgzep7dihvgnd2tvuh4