RT Journal Article
T1 On tests of homogeneity based on minimum phi-divergence estimator with constraints
A1 Menéndez Calleja, María Luisa
A1 Pardo Llorente, Julio Ángel
A1 Pardo Llorente, Leandro
A1 Zografos, Konstantinos
AB A family of tests of homogeneity of independent multinomial populations is introduced in terms of the phi(1)-divergence when the parameters are estimated using the minimum phi(2)-divergence estimator instead of the maximum likelihood estimator. A simulation study is presented to choose the best function phi(2) for estimation and the best function phi(1) for testing. A new test statistic is obtained, more powerful in some cases, than the existing tests for testing homogeneity in multinomial populations.
PB Elsevier Science
SN 0167-9473
YR 2003
FD 2003-06-28
LK https://hdl.handle.net/20.500.14352/50249
UL https://hdl.handle.net/20.500.14352/50249
LA eng
NO Aitchison, J., 1962. Large-sample restricted parametric tests. J. Roy. Statist. Soc. Ser. B 24, 234–250.Aitchison, J., Silvey, S.D., 1958. Maximum-likelihood estimation of parameters subject to restraints. Ann. Math. Statist. 29, 813–828.Aitchison, J., Silvey, S.D., 1960. Maximum-likelihood estimation procedures and associated tests of signifcance. J. Roy. Statist. Soc. Ser. B 22, 154–171.Ali, S.M., Silvey, S.D., 1966. A general class of coefcients of divergence of one distribution from another. J. Roy. Statist. Soc. Ser. B 26, 131–142.Cressie, N., Read, T.R.C., 1984. Multinomial goodness-of-fit tests. J. Roy. Statist. Soc. Ser. B 46, 440–464.Csiszar, I., 1967. Information type measures of difference of probability distributions and indirect observations. Studia Sci. Mathem. Hungar. 2, 105–113.
DS Docta Complutense
RD 30 sept 2024