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Statistical analysis for Kumaraswamy’s distribution based on record data. (English) Zbl 1364.62054
Summary: In this paper we review some results that have been derived on record values for some well known probability density functions and based on \(m\) records from Kumaraswamy’s distribution we obtain estimators for the two parameters and the future \(s\)th record value. These estimates are derived using the maximum likelihood and Bayesian approaches. In the Bayesian approach, the two parameters are assumed to be random variables and estimators for the parameters and for the future sth record value are obtained, when we have observed \(m\) past record values, using the well known squared error loss (SEL) function and a linear exponential (LINEX) loss function. The findings are illustrated with actual and computer generated data.

MSC:
62F10 Point estimation
62F15 Bayesian inference
62G32 Statistics of extreme values; tail inference
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