An extension of generalized linear models

Eduardo Gutiérrez González; Olga Vladimirovna Panteleeva; Ana Laura Reyes Olvera

An extension of generalized linear models

Eduardo Gutiérrez González, Olga Vladimirovna Panteleeva, Ana Laura Reyes Olvera

Unidad Profesional Interdisciplinaria de Ingeniería y Ciencias Sociales y Administrativas (UPIICSA)

Research output: Contribution to journal › Review article › peer-review

Abstract

In this paper, a general model is proposed to extend generalized linear models to non-monotonic link functions. In order to determine the best model, different link function families are analysed, and through AIC, the best model is chosen. Moreover, using asymptotic properties of maximum likelihood estimates are calculated with confidence intervals and hypothesis tests for each of the parameters. Lastly, one example of regression extension is proposed for the Bernoulli distribution applied to in vitro germination of Leucocoryne coquimbensis seeds.

Original language	English
Pages (from-to)	448-457
Number of pages	10
Journal	European Journal of Scientific Research
Volume	61
Issue number	3
State	Published - Oct 2011

Keywords

AIC
Bernoulli distribution
Generalized linear model
Link function

Cite this

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title = "An extension of generalized linear models",

abstract = "In this paper, a general model is proposed to extend generalized linear models to non-monotonic link functions. In order to determine the best model, different link function families are analysed, and through AIC, the best model is chosen. Moreover, using asymptotic properties of maximum likelihood estimates are calculated with confidence intervals and hypothesis tests for each of the parameters. Lastly, one example of regression extension is proposed for the Bernoulli distribution applied to in vitro germination of Leucocoryne coquimbensis seeds.",

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AU - Olvera, Ana Laura Reyes

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N2 - In this paper, a general model is proposed to extend generalized linear models to non-monotonic link functions. In order to determine the best model, different link function families are analysed, and through AIC, the best model is chosen. Moreover, using asymptotic properties of maximum likelihood estimates are calculated with confidence intervals and hypothesis tests for each of the parameters. Lastly, one example of regression extension is proposed for the Bernoulli distribution applied to in vitro germination of Leucocoryne coquimbensis seeds.

AB - In this paper, a general model is proposed to extend generalized linear models to non-monotonic link functions. In order to determine the best model, different link function families are analysed, and through AIC, the best model is chosen. Moreover, using asymptotic properties of maximum likelihood estimates are calculated with confidence intervals and hypothesis tests for each of the parameters. Lastly, one example of regression extension is proposed for the Bernoulli distribution applied to in vitro germination of Leucocoryne coquimbensis seeds.

KW - AIC

KW - Bernoulli distribution

KW - Generalized linear model

KW - Link function

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EP - 457

JO - European Journal of Scientific Research

JF - European Journal of Scientific Research

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ER -

An extension of generalized linear models

Abstract

Keywords

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