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Optimal Shrinkage Estimations for the Parameters of Exponential Distribution Based on Record Values

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Abstract:

<p>This paper studies shrinkage estimation after the preliminary test for the parameters of exponential distribution based on record values. The optimal value of shrinkage coefficients is also obtained based on the minimax regret criterion. The maximum likelihood, pre-test, and shrinkage estimators are compared using a simulation study. The results to estimate the scale parameter show that the optimal shrinkage estimator is better than the maximum likelihood estimator in all cases, and when the prior guess is near the true value, the pre-test estimator is better than shrinkage estimator. The results to estimate the location parameter show that the optimal shrinkage estimator is better than maximum likelihood estimator when a prior guess is close<br />to the true value. All estimators are illustrated by a numerical example.</p>

Tópico:

Statistical Distribution Estimation and Applications

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Citations: 6
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Información de la Fuente:

SCImago Journal & Country Rank
FuenteRevista Colombiana de Estadística
Cuartil año de publicaciónNo disponible
Volumen39
Issue1
Páginas33 - 44
pISSNNo disponible
ISSN2389-8976

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