The transmuted geometric-inverse weibull distribution: properties, characterizations and application

In this paper, a four parameters flexible life time distribution called the transmuted geometric-inverse Weibull (TG-IW) distribution is obtained from mixture of inverse Weibull distribution, geometric distribution and transmuted distribution. Some structural and mathematical properties including descriptive measures on the basis of quantiles, moments, factorial moments, incomplete moments, inequality measures, residual life functions and some other properties are theoretically taken up. The TG-IW distribution is characterized via different techniques. The estimates of parameters for the TG-IW distribution are being obtained from maximum likelihood method. The significance and flexibility of the TG-IW distribution is tested through different measures by application to physical data set.