STATISTIKA NON PARAMETRIK: PENGGABUNGAN DIAGRAM POHON POLYA YANG BERHINGGA
DOI:
https://doi.org/10.33603/e.v4i2.415Abstract
Sebuah pendekatan tentang nonparametrik bayes, penggabungan diagram pohon polya (MPT). MPT menggunakan sebuah partisi dari dukungan kepadatan distribusi aslinya. Kepadatan umumnya mempertahankan bentuk distribusi asli pada tiap-tiap rangkaian partisi dan menambahkan parameter baru dari peluang-peluang bersyarat. Model diagram pohon polya dapat diaplikasikan secara luas dan mudah diprogramkan dengan diberikannya skema MCMC untuk penyesuaian model parametrik aslinya.
Kata kunci: Bayes; Model gabungan liniear tergeneralisasi; MGLT
References
Bain, L.J., and Max Engelhardt (1992) Introduction to Probability and Mathematical Statistics, 2^nd edn, Duxbury Press, California.
DeGroot, M.H. (1970) Optimal Statistical Decision, McGraw-Hill.
Rohatgi, V.K. (1976) An Introduction to Probability Theory and Mathematical Statistics, John Wiley-Sons.
W.J.,Conover. (1971) Practical Nonparametric Statistics, John Wiley-Sons, New York-London-Sydney-Toronto.
George E.P.Box and George C.Tiao. (1973) Bayesian Inference In Statistical Analyssis, Addison-Wesley Publishing Company.
James O. Berger (1980) Statistical Decision Theory Foundations, and Methods, Springer-Verlag, New York Heidelberg Berlin.
Mauldin,R.D.,Sudderth, W.D., and Williams, S.C. (1992). “Polya Trees and Random Distributions,†The Annals of Statistics, 20, 1203-1221.
Reich, B.J., and Fuentes, M. (2007), “Multivariate Semiparametric Bayesian Spatial Modeling Framework for Hurricane Surface Wind Fields,†Annals of Applied Statitics, 1, 249-264.
Dey,D., Muller, P., and Sinha, D. (1998), Partical Nonparametric and Semiparametric Bayesian Statistics, New York: Springer.
Paddock, S.M.(1999), “Randomized Polya Trees: Bayesian Nonparametrics for Multivariate Data Analysis,†Unpublished doctoral thesis, Institute of Statistics and Decision Sciences, Duke University.
Spiegelhalter, D.J., Best, N.G., Carlin, B.P., Van der Line, A. (2000),â€Bayesian Measures of Model Complexity and Fit, “Journal of the Royal Statistical Society, Series B, 64, 583-639.
Paddock, S.M., Ruggeria, F., Lavine M., and West, M. (2003), “Randomized Polya Tree Models for Nonparametric Bayesian inference,†Statistica Sinica, 13, 443-460.
Walker, S.G., and Mallick, B.K. (1999), “Semiparametric Accelerated Life Time Model,†Biometrics, 55, 477-483.
Warren, J., Ewens, and Gregory, R., Grant. (2005), “Statisical Methods in Bioinformatics: An Introduction, Springer.
Downloads
Published
Issue
Section
Citation Check
License
The author who published his work in this journal agrees to the following terms:
The author reserves the copyright and grants the first publishing rights journal, with works simultaneously licensed under the License: Creative Commons Attribution - Share Alike 4.0 Internasional License that enables others to share works with the acknowledgment of early publication and authorship of the work in this journal.