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

Year 2024, Volume: 53 Issue: 1, 201 - 229, 29.02.2024

İrhad M R , E S Muhammed Ahammed , Radhakumari Maya , Amer Al-omari

https://doi.org/10.15672/hujms.1143156

Abstract

In this paper, a new two parameters lifetime distribution, called Marshall-Olkin Bilal distribution is introduced and the structural properties are discussed. The proposed model results from the Marshall and Olkin class of distributions with the baseline model as Bilal distribution. We examined the statistical aspects like moments, quantile function, order statistics and entropy. The hazard function can model increasing and upside-down bathtub shaped data sets. The model parameter estimation is carried out by maximum likelihood estimation and a simulation study is performed. The flexibility of the proposed model is evaluated by two real data sets, compared with the competing 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.

Keywords

Marshall-Olkin family of distributions, Bilal distribution, Hazard rate function, Minification process, Acceptance sampling plans

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