On Generalized Upper(k)Record Values From Weibull Distribution

In this paper we study the generalized upper(k)record values arising from Weibull distribution. Expressions for the moments and product moments of those generalized upper(k)record values are derived. Some properties of generalized upper(k)record values which characterize the Weibull distribution hav...

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Bibliographic Details
Published in:Statistica (Bologna) 2015-01, Vol.75 (3), p.313-330
Main Authors: Jerin, Paul, Thomas, Poruthiyudian Yageen
Format: Article
Language:eng ; ita
Subjects:
Best Linear Unbiased Estimation
Best Linear Unbiased Predictor
Characterization
Estimating techniques
Expected values
Generalized upper(k)record values
Mathematical models
Mathematics
Random variables
Statistical methods
Statistics
Studies
Weibull Distribution
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Summary:In this paper we study the generalized upper(k)record values arising from Weibull distribution. Expressions for the moments and product moments of those generalized upper(k)record values are derived. Some properties of generalized upper(k)record values which characterize the Weibull distribution have been established. Also some distributional properties of generalized upper(k)record values arising from Weibull distribution are considered and used for suggesting an estimator for the shape parameter of Weibull distribution. The location and scale parameters are estimated using the Best Linear Unbiased Estimation procedure. Prediction of a future record using Best Linear Unbiased Predictor has been studied. A real life data is used to illustrate the results generated in this work.
ISSN:0390-590X
1973-2201
DOI:10.6092/issn.1973-2201/6100