Abstract

A novel approach for expanding a family of life time distributions is put forward by introducing a new parameter referred as the MTI transformation technique. Various properties of the MTI transformation technique have been obtained. The technique has been specialized on two-parameter Weibull distribution, resulting a new distribution called MTI Weibull (MTIW) that has been explored in detail. The density function of the MTIW distribution can be decreasing, unimodal, bimodal, symmetrical, skewed to the right, also with monotonic and nonmonotonic behaviour of failure rate function. Two real life data sets were analyzed to illustrate the efficacy of the suggested model.

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