Simulation and Application to Survival Analysis of Neck cancer disease with New Probability Distribution

In this paper, a new distribution depends on the hyperbolic sine family of distributions with inverted exponential distribution as will be generated. The hyperbolic sine family of distributions was introduced by Kharazmi and Saadatinik (2016). They studied some properties of this family and obtained the estimates of its parameters by different methods. Various properties of the proposed distribution including explicit expressions for the moments, quantiles, moment generating function, failure rate function, mean residual lifetime, order statistics and expressions of entropies are derived. Superiority of this model is proved in some simulations and application of Survival Analysis of Neck cancer disease. Keywords: Sinh inverted exponential distribution; Moments; Survival function; Entropy; Maximum likelihood estimates.