TY - JOUR
T1 - An extension of generalized linear models
AU - González, Eduardo Gutiérrez
AU - Panteleeva, Olga Vladimirovna
AU - Olvera, Ana Laura Reyes
PY - 2011/10
Y1 - 2011/10
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
UR - http://www.scopus.com/inward/record.url?scp=80054028652&partnerID=8YFLogxK
M3 - Artículo de revisión
SN - 1450-216X
VL - 61
SP - 448
EP - 457
JO - European Journal of Scientific Research
JF - European Journal of Scientific Research
IS - 3
ER -