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On a family of bayesian estimators and predictors for a Gumbel model based on the $k$th lower records
I. Malinowska 1   ; D. Szynal 2
1 Department of Mathematics Lublin University of Technology Nadbystrzycka 38a 20-618 Lublin, Poland
2 Institute of Mathematics Maria Curie-Skłodowska University Pl. M. Curie-Skłodowskiej 1 20-031 Lublin, Poland
Applicationes Mathematicae, Tome 31 (2004) no. 1, pp. 107-115 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Bayesian estimation for the two parameters of a Gumbel distribution are obtained based on $k$th lower record values. Prediction, either point or interval, for future $k$th lower record values is also presented from a Bayesian view point. Some of the results of [4] can be obtained as special cases of our results $(k=1)$.
DOI : 10.4064/am31-1-9
Keywords: bayesian estimation parameters gumbel distribution obtained based kth lower record values prediction either point interval future kth lower record values presented bayesian view point results obtained special cases results

I. Malinowska  1   ; D. Szynal  2

1 Department of Mathematics Lublin University of Technology Nadbystrzycka 38a 20-618 Lublin, Poland
2 Institute of Mathematics Maria Curie-Skłodowska University Pl. M. Curie-Skłodowskiej 1 20-031 Lublin, Poland 
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     title = {On a family of bayesian estimators
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     journal = {Applicationes Mathematicae},
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  and predictors for a Gumbel model based
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I. Malinowska; D. Szynal. On a family of bayesian estimators
  and predictors for a Gumbel model based
  on the $k$th lower records. Applicationes Mathematicae, Tome 31 (2004) no. 1, pp. 107-115. doi: 10.4064/am31-1-9

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