STATISTIKA NON PARAMETRIK: PENGGABUNGAN DIAGRAM POHON POLYA YANG BERHINGGA

Asri Ode Samura

Abstract


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Paddock, S.M.(1999), “Randomized Polya Trees: Bayesian Nonparametrics for Multivariate Data Analysis,†Unpublished doctoral thesis, Institute of Statistics and Decision Sciences, Duke University.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.




DOI: http://dx.doi.org/10.33603/e.v4i2.415

Refbacks

  • There are currently no refbacks.


EUCLID terindeks oleh DOAJ, Google Scholar, ResearchBib, IPI, IOS dan Sinta.

This work is licensed under a Creative Commons Attribution - Share Alike 4.0 International License
execute(); ?>