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Revista Colombiana de Estadística
versión impresa ISSN 0120-1751
Rev.Colomb.Estad. vol.44 no.2 Bogotá jul./dic. 2021 Epub 30-Ago-2021
https://doi.org/10.15446/rce.v44n2.87825
Original articles of research
Bayesian Estimation of Morgenstern Type Bivariate Rayleigh Distribution using Some Types of Ranked Set Sampling
Estimación bayesiana de la distribución de Rayleigh bivariada de tipo Morgenstern utilizando algunos tipos de muestreo por conjuntos clasificados
1 Department of Statistics, Persian Gulf University, Bushehr, Iran
In this paper we consider Bayesian estimation based on bivariate ranked set sample, in which units are ranked based on measurements made on an easily and exactly measurable auxiliary variable X which is correlated with the study variable Y . We obtain Bayes estimator for the scale parameter of the study variate Y , when (X, Y ) follows a Morgenstern type bivariate Rayleigh distribution. The Bayes estimators are considered based on bivariate ranked set sampling, extreme ranked set sampling and maximum ranked set sampling with unequal sample. The accuracy of estimation methods in this paper is illustrated using simulation study. Finally, a real data set is analyzed.
Key words: Bayesian estimation; Concomitant ranked set samplingremark Extreme ranked set samplingremark Maximum ranked set sampling and Rayleigh distribution
En este artículo consideramos la estimación bayesiana basada en una muestra de conjuntos clasificados bivariados, en la que las unidades se clasifican según las mediciones realizadas en una variable auxiliar X fácil y exactamente medible que se correlaciona con la variable de estudio Y . Obtuvimos el estimador de Bayes para el parámetro de escala de la variante de estudio Y , cuando (X, Y ) sigue una distribución de Rayleigh bivariada de tipo Morgenstern. Los estimadores de Bayes se consideran basados en un muestreo conjunto bivariado, un muestreo conjunto extremo clasificado y un muestreo conjunto máximo clasificado con muestra desigual. La precisión de los métodos de estimación en este documento se ilustra mediante el estudio de simulación. Finalmente, se analiza un conjunto de datos real.
Palabras clave: Estimación bayesianaremark muestreo conjunto concomitante clasificadoremark muestreo conjunto extremo clasificadoremark muestreo conjunto máximo clasificado y distribución de Rayleigh
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Received: April 2019; Accepted: December 2020
This is an open-access article distributed under the terms of the Creative Commons Attribution License
