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Generalized Secant Hyperbolic and a Method of Estimate of its Parameters: Maximum Likelihood Modified

Authors: Másmela Caita, Luis Alejandro; Burbano Moreno, Álvaro Alexander;

Generalized Secant Hyperbolic and a Method of Estimate of its Parameters: Maximum Likelihood Modified

Abstract

Se desarrollan diferentes distribuciones generalizadas en la literatura estadística, entre ellas está la distribución hiperbólica secante generalizada (SHG). Este artículo presenta un método alternativo para estimar los parámetros de población del SHG, llamado Probabilidad Máxima Modificada (MVM). Asumiendo algunas expresiones alternativas que son diferentes del trabajo de Vaughan en 2002, y basadas en el mismo conjunto de datos de la fuente original. Se implementa, el método transformado MVM se implementa computacionalmente, nos permite observar buenas aproximaciones de los valores exactos de los parámetros de ubicación y escala, presentados por Vaughan en su artículo. El objetivo es que en la práctica se pueda utilizar una metodología diferente para estimar.

Different generalized distributions are developed in the statistical literature, among them it is the generalized secant hyperbolic distribution (SHG). This paper presents an alternative method for estimation the population parameters of the SHG, called Modified Maximum Likelihood (MVM). Assuming some alternate expressions that are different from Vaughan´s work in 2002, and based on the same set of data from the original source. It is implemented, the transformed method MVM is implemented computationally, it allows us to observe good approximations of the exact values of the parameters of location and scale, presented by Vaughan in his article. The aim is that in the practice you can use a different methodology to estimate.

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Colombia
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Keywords

Estimation Of Parameters, Generalized Secant Hyperbolic Distribution, Modified Maximum Likelihood, Máxima Verosimilitud Modificada, Estimación De Parámetros, Distribución Hiperbólica Secante Generalizada

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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