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In this paper , a new probability distribution , based on the family of hyperbolic cosine distributions is proposed and its various statistical and reliability characteristics are investigated . The new category of HCF distributions is obtained by combining a baseline F distribution with the hyperbolic cosine function . Based on the base loglogistics distribution , we introduce a new distribution socalled HCLL and derive the various properties of the proposed distribution including the moments , quantiles , moment generating function , failure rate function , mean residual lifetime , order statistics and stressstrength parameter . Estimation of the parameters of HCLL for a real data set is investigated by using three methods : maximum likelihood , Bayesian and bootstrap (parametric and nonparametric) . We evaluate the efficiency of the maximum likelihood estimation method by Monte Carlo simulation . In addition , in the application section , by using a realistic data set , the superiority of HCLL model to generalized exponential , Weibull , hyperbolic cosine exponential , gamma , weighted exponential distributions is shown through the different criteria of selection model .