Conjugate priors for exponential-type processes with random initial conditions

Ryszard Magiera

Applicationes Mathematicae (1994)

  • Volume: 22, Issue: 3, page 321-330
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Magiera, Ryszard. "Conjugate priors for exponential-type processes with random initial conditions." Applicationes Mathematicae 22.3 (1994): 321-330. <http://eudml.org/doc/219098>.

@article{Magiera1994,
abstract = {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.},
author = {Magiera, Ryszard},
journal = {Applicationes Mathematicae},
keywords = {conjugate prior; stopping time; exponential-type process; Markov processes; proper conjugate priors; general exponential model},
language = {eng},
number = {3},
pages = {321-330},
title = {Conjugate priors for exponential-type processes with random initial conditions},
url = {http://eudml.org/doc/219098},
volume = {22},
year = {1994},
}

TY - JOUR
AU - Magiera, Ryszard
TI - Conjugate priors for exponential-type processes with random initial conditions
JO - Applicationes Mathematicae
PY - 1994
VL - 22
IS - 3
SP - 321
EP - 330
AB - 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.
LA - eng
KW - conjugate prior; stopping time; exponential-type process; Markov processes; proper conjugate priors; general exponential model
UR - http://eudml.org/doc/219098
ER -

References

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  1. M. Arato (1978), On the statistical examination of continuous state Markov processes III, Selected Transl. in Math. Statist. and Probab. 14, 253-267. 
  2. O. E. Barndorff-Nielsen (1980), Conditionality resolutions, Biometrika 67, 293-310. Zbl0434.62005
  3. I. V. Basawa and B. L. S. Prakasa Rao (1980), Statistical Inference for Stochastic Processes, Academic Press, New York. Zbl0448.62070
  4. P. Diaconis and D. Ylvisaker (1979), Conjugate priors for exponential families, Ann. Statist. 7, 269-281. Zbl0405.62011
  5. R. Döhler (1981), Dominierbarkeit und Suffizienz in der Sequentialanalyse, Math. Operationsforsch. Statist. Ser. Statist. 12, 101-134. Zbl0473.62006
  6. I. S. Gradshteĭn and I. M. Ryzhik (1971), Tables of Integrals, Sums, Series and Products, Nauka, Moscow (in Russian). 
  7. R. S. Liptser and A. N. Shiryaev (1978), Statistics of Random Processes, Vol. 2, Springer, Berlin. Zbl0556.60003
  8. R. Magiera and V. T. Stefanov (1989), Sequential estimation in exponential-type processes under random initial conditions, Sequential Anal. 8 (2), 147-167. Zbl0691.62076
  9. R. Magiera and M. Wilczyński (1991), Conjugate priors for exponential-type processes, Statist. Probab. Lett. 12, 379-384. Zbl0747.62030
  10. 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. Zbl0293.60050

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