Marshall-Olkin Bilal distribution with associated minification process and acceptance sampling plans

In this paper, a new two -parameter lifetime distribution, called the Marshall-Olkin Bilal distribution is introduced and its various structural properties are discussed. The proposed model results from the Marshall-Olkin family of distributions with the baseline model as Bilal distribution. We examined different statistical aspects like moments, quantile function, order statistics and entropy. The hazard rate function of the proposed distribution can be increasing and upside-down bathtub shaped. The model parameter estimation is carried out by maximum likelihood, least squares, and weighted least squares methods, and a simulation study is performed. The flexibility of the proposed model is evaluated by two real data sets by comparing with different contending models. Its application in time series is studied by the associated autoregressive minification process, and the auto -correlation structure is derived. The acceptance sampling plans formulated for the proposed model and the characteristic results are illustrated.