Abstract
A Maxwell–Weibull distribution was introduced by using Maxwell generalized family of distributions. The distribution, density, survival, hazard and quantile functions of the proposed Maxwell–Weibull distribution were defined. Its statistical properties were derived. The maximum likelihood method of estimation was used to estimate its parameters. A simulation study was carried out to demonstrate the potentiality of the maximum likelihood estimates. Two lifetime data sets were used to assess the performance of the proposed Maxwell–Weibull distribution. Our finding revealed that the Maxwell–Weibull distribution suited the end yearly selling Nigerian Naira to Japanese Yen exchange rates and strengths of glass fibers data sets compared to the other competing distributions as it has maximum value of log-likelihood and least values of statistic criteria including AIC, CAIC and HQIC.
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