FURTHER RESULTS INVOLVING THE MIT ORDER AND THE IMIT CLASS

By Ibrahim A. Ahmad, Mohamed Kayid, F. Pellerey. Probability in the engineering and informational sciences (Print), 2005

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Reversed hazard rate order of equilibrium distributions and a related aging notion (2008, result): “Esary et al. (1973) was among the first to study aging property and shocks model, for other results please refer to Fagiouli and Pellerey (1994), Kayid and Ahmad (2004) and Ahmad et al. (2002) , etc.”
A new family of distributions with properties, regression models and applications (2018, methodology): “k k k a θ         − Now, applying (5) for [1 log ( ; )], G x ξ − still in Equation (2), we obtain”
The Transmuted Marshall-Olkin Fr\'{e}chet Distribution: Properties and Applications (2015, background): “The properties of the mean inactivity time have been considered by many authors, see e.g., Kayid and Ahmad (2004) and Ahmad et al. (2005).”