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Characterization of Extended Uniform Distribution and Its Applications

  • Ratan DasguptaEmail author
Conference paper

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 

MS Subject Classification:

Primary 62E10 Secondary 62P12 

References

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Theoretical Statistics and Mathematics UnitIndian Statistical InstituteKolkataIndia

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