Conjugate priors for exponential-type processes with random initial conditions
Magiera, Ryszard
Applicationes Mathematicae, Tome 22 (1994), p. 321-330 / Harvested from The Polish Digital Mathematics Library

The family of proper conjugate priors is characterized in a general exponential model for stochastic processes which may start from a random state and/or time.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:219098
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     author = {Ryszard Magiera},
     title = {Conjugate priors for exponential-type processes with random initial conditions},
     journal = {Applicationes Mathematicae},
     volume = {22},
     year = {1994},
     pages = {321-330},
     zbl = {0827.62013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv22z3p321bwm}
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Magiera, Ryszard. Conjugate priors for exponential-type processes with random initial conditions. Applicationes Mathematicae, Tome 22 (1994) pp. 321-330. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv22z3p321bwm/

[000] M. Arato (1978), On the statistical examination of continuous state Markov processes III, Selected Transl. in Math. Statist. and Probab. 14, 253-267.

[001] O. E. Barndorff-Nielsen (1980), Conditionality resolutions, Biometrika 67, 293-310. | Zbl 0434.62005

[002] I. V. Basawa and B. L. S. Prakasa Rao (1980), Statistical Inference for Stochastic Processes, Academic Press, New York. | Zbl 0448.62070

[003] P. Diaconis and D. Ylvisaker (1979), Conjugate priors for exponential families, Ann. Statist. 7, 269-281. | Zbl 0405.62011

[004] R. Döhler (1981), Dominierbarkeit und Suffizienz in der Sequentialanalyse, Math. Operationsforsch. Statist. Ser. Statist. 12, 101-134. | Zbl 0473.62006

[005] I. S. Gradshteĭn and I. M. Ryzhik (1971), Tables of Integrals, Sums, Series and Products, Nauka, Moscow (in Russian).

[006] R. S. Liptser and A. N. Shiryaev (1978), Statistics of Random Processes, Vol. 2, Springer, Berlin. | Zbl 0556.60003

[007] R. Magiera and V. T. Stefanov (1989), Sequential estimation in exponential-type processes under random initial conditions, Sequential Anal. 8 (2), 147-167. | Zbl 0691.62076

[008] R. Magiera and M. Wilczyński (1991), Conjugate priors for exponential-type processes, Statist. Probab. Lett. 12, 379-384. | Zbl 0747.62030

[009] A. F. Taraskin (1974), On the asymptotic normality of vector-valued stochastic integrals and estimates of drift parameters of a multidimensional diffusion process, Theory Probab. Math. Statist. 2, 209-224. | Zbl 0293.60050