The skew-generalized inverse weibull distribution (SGIW) has four parameters of lifetime distribution. It could have different hazard rates: increasing, decreasing and unimodal. In this paper, the method of Azzalini's (1985) is used to provide a shape of parameter to generalize inverse weibull, which creates a new class of skew-generalized inverse weibull distributions. Different statistical properties of this new distribution are discussed whereas expressions for density, minimum and maximum order statistic and ith moment of the order statistics and the inference of the old parameters and the skewness parameter are studied. In addition, Mont Carlo simulation method was carried out to investigate the properties of the estimations of the unknown parameters of SGIW. Furthermore, the flexibility of SGIW model is illustrated by means of two real data sets applications. |
