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Testing stationary distributions of Markov chains based on Rao's divergence

dc.contributor.authorPardo Llorente, María del Carmen
dc.date.accessioned2023-06-20T17:08:10Z
dc.date.available2023-06-20T17:08:10Z
dc.date.issued1999-01
dc.descriptionThis work was supported by Grants DGICYT PB96-0635 and PR156/97-7159.
dc.description.abstractStatistical inference problems such as the estimation of parameters and testing composite hypothesis about stationary distributions in the set of states of Markov chains are solved. Both, the estimator and the statistic proposed are based on Rao's divergence. The asymptotic properties of the estimator and the critical values of asymptotically γ-level tests are obtained.
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGICYT
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/17811
dc.identifier.doi10.1016/S0893-9659(98)00122-0
dc.identifier.issn0893-9659
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0893965998001220
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57824
dc.issue.number1
dc.journal.titleApplied Mathematics Letters
dc.language.isoeng
dc.page.final36
dc.page.initial31
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.projectIDPB96-0635
dc.relation.projectIDPR156/97-7159
dc.rights.accessRightsopen access
dc.subject.cdu519.22
dc.subject.keywordMarkov chain
dc.subject.keywordRao's divergence
dc.subject.keywordMinimum Rφ-divergence estimate
dc.subject.keywordGoodness-of-fit tests
dc.subject.keywordRφ-statistic.
dc.subject.ucmEstadística matemática (Matemáticas)
dc.subject.unesco1209 Estadística
dc.titleTesting stationary distributions of Markov chains based on Rao's divergence
dc.typejournal article
dc.volume.number12
dcterms.referencesS. Tavaré, P.M.E. Altham, Serial dependence of observations leading to contingency tables, and corrections to chi-squared statistics. Biometrika, 70 (1983), pp. 139–144 M.L. Menéndez, D. Morales, L. Pardo, I. Vajda, Testing in stationary models based on f-divergences of observed and theoretical frequencies. Kybernetika, 33 (5) (1997), pp. 465–475 I. Csiszár, Eine Informationtheoretische Ungleichung und ihre Anwendung auf den Bewis der Ergodizität von Markhoffschen Ketten. Publ. Math. Inst. Hungar. Acad. Sci., 8 (1963), pp. 85–108 Ser. A M. C. Pardo, Goodness- of- fit tests for stationary distributions of Markov chains based on Rao's divergence. Information Sciences (1998) J. Burbea, C.R. Rao, On the convexity of some divergence measures based on entropy functions. IEEE Transactions on Information Theory, 28 (1982), pp. 489–495 M.C. Pardo, On Burbea-Rao divergences based goodness-of-fit tests for multinomial models (to appear). M.C. Pardo, Goodness-of-fit tests based on Rao's divergence under sparseness assumptions (to appear). M.C. Pardo, I. Vajda, About distances of discrete distributions satisfying the data proccesing theorem of information theory. Trans. IEEE on Inform. Theory, 43 (4) (1997), pp. 1288–1293 M.L. Menéndez, D. Morales, L. Pardo and I. Vajda, Inference about stationary distributions of Markov chains based on divergences with observed frequencies, Probability and Mathematical Statistics (to appear). P. Billingsley, Statistical methods in Markov chains. Ann. Math. Statist., 32 (1961), pp. 12–40 M.W.Birch,A new proof of the Pearson-Fisher theorem. Annals of Mathematical Statistics, 35 (1964), pp. 817–824 Y.M.M. Bishop, S.E. Fienberg, P.W. Holland, Discrete Multivariate Analysis Theory and Practice. The MIT Press, Cambridge, MA (1975) T.R.C. Read, N. Cressie, Goodness of Fit Statistics for Discrete Multivariate Data. Springer, New York (1988) D. Morales, L. Pardo, I. Vajda, Asymptotic divergence of estimates of discrete distributions. Journal of Statistical Planning and Inference, 48 (1995), pp. 347–369 M.C. Pardo, Asymptotic behaviour of an estimator based on Rao's divergence. Kybernetika, 33 (5) (1997), pp. 489–504 S. Kotz, N.M. Johnson, D.W. Boid, Series representation of quadratic forms in normal variables,I.Central case AMS(1967), pp. 823–837 J.N.K. Rao, A.J. Scott, The analysis of categorical data from complex sample surveys: Chi-squared tests for goodness of fit and independence in two-way tables. J. Amer. Stat. Assoc., 76 (1981), pp. 221–230 F.E. Satterthwaite, An aproximate distribution of estimates of variance components. Biometrics, 2 (1946), pp. 110–114 H. Scheffé, The Analysis of Variance. Wiley (1959)
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