Marshall-Olkin Family of Distributions and their applications in reliability theory, time series modeling and stress-strength analysis
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چکیده
Abstract: In this paper we consider various Marshall-Olkin distributions and develop autoregressive minification processes with stationary marginals as exponential, Weibull, uniform, Pareto, Gumbel, Lomax etc. The applications in reliability modelling and stress-strength analysis are considered.Problems of estimation of parameters is addressed. Various properties are examined. Modelling with respect to a real data set is also done.Simulation studies are conducted to validate the theory.
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