Quadratic unbiased estimation of nonstandard parametric functions

Czesław Stępniak

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 4, page 423-428
  • ISSN: 0232-0525

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Stępniak, Czesław. "Quadratic unbiased estimation of nonstandard parametric functions." Mathematica Slovaca 48.4 (1998): 423-428. <http://eudml.org/doc/34482>.

@article{Stępniak1998,
author = {Stępniak, Czesław},
journal = {Mathematica Slovaca},
keywords = {seminormal linear model; quadratic estimation; unbiased estimation; estimability; UBQUE estimator},
language = {eng},
number = {4},
pages = {423-428},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Quadratic unbiased estimation of nonstandard parametric functions},
url = {http://eudml.org/doc/34482},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Stępniak, Czesław
TI - Quadratic unbiased estimation of nonstandard parametric functions
JO - Mathematica Slovaca
PY - 1998
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 48
IS - 4
SP - 423
EP - 428
LA - eng
KW - seminormal linear model; quadratic estimation; unbiased estimation; estimability; UBQUE estimator
UR - http://eudml.org/doc/34482
ER -

References

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  1. KUBÁČEK L., Foundations of Estimation Theory, Elsevier, Amsterdam, 1988. (1988) Zbl0698.62004MR0995671
  2. PÁZMAN A., Plans ďexpérience pour les estimations de fonctionelles nonlinéaires, Ann. Inst. H. Poincaré Probab. Statist. 13 (1977), 259-267. (1977) MR0455230
  3. PÁZMAN A., Optimal designs for the estimation of polynomial functionals, Kybernetika (Prague) 17 (1981), 16-31. (1981) Zbl0466.62067MR0629346
  4. RAO C. R.-KLEFFE J., Estimation of Variance Components and Applications, North-Holland, Amsterdam, 1988. (1988) Zbl0645.62073MR0933559
  5. SEARLE S. R., Linear Models, Wiley, New York, 1971. (1971) Zbl0218.62071MR0293792
  6. ŠTULAJTER F., Nonlinear estimators of polynomials in mean values of a Gaussian stochastic process, Kybernetika (Prague) 14 (1978), 206-220. (1978) Zbl0386.62072MR0506650
  7. ŠTULAJTER F., RKHS approach to nonlinear estimation of random variables, In: Transactions of the Eighth Prague Conference on Information Theory Statistical Decision Functions and Random Processes, Vol. B, Academia, Prague, 1978, pp. 239-246. (1978) Zbl0411.62057MR0536821
  8. VOLAUFOVÁ J., Estimation of polynomials in regression model, Apl. Mat. 27 (1982), 223-231. (1982) MR0658004

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