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Estimation of Inverse Pareto Distribution under Unified Hybrid Censoring
Estimación de la distribución inversa de Pareto bajo censura híbrida unificada
DOI:
https://doi.org/10.15446/rce.v48n2.113472Keywords:
Inverse Pareto distribution, Condence interval, Credible interval, Unified Hybrid Censoring, Monte Carlo simulation (en)Distribución inversa de Pareto, Censura híbrida unificada, Intervalo de confianza, Intervalo de credibilidad, Simulación de Monte Carlo (es)
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In this paper, some estimators of the unknown parameter, reliability function and hazard rate function of Inverse Pareto distribution under Unified Hybrid Censoring were derived. The maximum likelihood method, Bayes and E-Bayes method were used for estimating the parameter, reliability function and hazard rate function of the Inverse Pareto Distribution. Approximate confidence intervals (confidence interval and credible interval) were also derived. Comparisons were made in sense of mean squared error and asymptotic relative efficiency through Monte Carlo simulation. Finally, the proposed methods can be understood through illustrating the results of the real data analysis.
En este artículo, algunos estimadores del parámetro desconocido, la función de confiabilidad y la función de tasa de riesgo de Se obtuvo la distribución inversa de Pareto bajo la censura híbrida unificada. Se utilizó el método de máxima verosimilitud, el método de Bayes y el de E-Bayes para estimar el parámetro, función de confiabilidad y función de tasa de riesgo de la distribución inversa de Pareto. Aproximado También se derivaron intervalos de confianza (intervalo de confianza e intervalo de credibilidad). Las comparaciones se realizaron en sentido de error cuadrático medio y eficiencia relativa asintótica mediante Monte Carlo. simulación. Finalmente, los métodos propuestos pueden entenderse ilustrando los resultados del análisis de datos reales.
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