Characterization of Extended Uniform Distribution and Its Applications

Ratan Dasgupta ()
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Ratan Dasgupta: Indian Statistical Institute, Theoretical Statistics and Mathematics Unit

A chapter in Advances in Growth Curve and Structural Equation Modeling, 2018, pp 45-57 from Springer

Abstract: 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.

Keywords: Extended uniform distribution; Performance rate; Hazard rate; Cauchy equation; Tuber crop; Generalized extreme value distribution; Primary; 62E10; Secondary; 62P12 (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-13-0980-9_3

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DOI: 10.1007/978-981-13-0980-9_3

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