Abstract
Extended uniform distributions \(G(y)=(y/\theta )^{\alpha }, \alpha>0, \theta >0, y\in (0,\theta ]\), and its discrete version have applications in modeling random variables related to growth data, discrete and continuous (Dasgupta 2017). Notion of performance rate of a variable is elaborated and its relation with hazard rate of industrial context and density function of the variable is studied. We prove characterization theorems for a general form of extended uniform distribution based on invariance of performance rate under scale transformations in a countable dense set. Applications of the distribution in quality control in industrial production, yield data of tuber crops among others are discussed.
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Dasgupta, R. (2018). Characterization of Extended Uniform Distribution and Its Applications. In: Dasgupta, R. (eds) Advances in Growth Curve and Structural Equation Modeling. Springer, Singapore. https://doi.org/10.1007/978-981-13-0980-9_3
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DOI: https://doi.org/10.1007/978-981-13-0980-9_3
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