Slashed Moment Exponential Distribution

20 septiembre, 2017 -


Yuri A. Iriarte(a), Juan M Astorga(b), Osvaldo Venegas Torres(c), Hector W.Gomez(a).


(a) Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta. Antofagasta, Chile
(b) Departamento de Tecnologías de la Energía, Facultad Tecnológica, Universidad de Atacama. Copiapó, Chile
(c) Departamento de Ciencias Matemáticas y Físicas, Facultad de Ingeniería, Universidad Católica de Temuco
Temuco, Chile


APPLIED MATHEMATICS & INFORMATION SCIENCES
Volumen: 16(3) Páginas: 354-365
DOI: http://dx.doi.org/10.2991/jsta.2017.16.3.7
Fecha de publicación: Septiembre 2017


Abstract

The problem of estimating the ratio of coefficients of variation of two independent lognormal populations is considered. We propose two closed-form approximate confidence intervals (CIs), one is based on the method of variance estimate recovery (MOVER), and another is based on the fiducial approach. The proposed CIs are compared with another CI available in the literature. Our new confidence intervals are very satisfactory in terms of coverage properties even for small samples, and better than other CIs for small to moderate samples. The methods are illustrated using an example.


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