Academic literature on the topic 'Rao-Blackwell'

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Journal articles on the topic "Rao-Blackwell"

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Rao, Calyampudi. "Rao-Blackwell theorem." Scholarpedia 3, no. 8 (2008): 7039. http://dx.doi.org/10.4249/scholarpedia.7039.

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Chiu, Christopher, and Zenon Chaczko. "Deployment of an Agent-based SANET Architecture for Healthcare Services." International Journal of Electronics and Telecommunications 57, no. 3 (2011): 309–15. http://dx.doi.org/10.2478/v10177-011-0041-8.

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Deployment of an Agent-based SANET Architecture for Healthcare ServicesThis paper describes the adaptation of a computational technique utilizing Extended Kohonen Maps (EKMs) and Rao-Blackwell-Kolmogorov (R-B) Filtering mechanisms for the administration of Sensor-Actuator networks (SANETs). Inspired by the BDI (Belief-Desire-Intention) Agent model from Rao and Georgeff, EKMs perform the quantitative analysis of an algorithmic artificial neural network process by using an indirect-mapping EKM to self-organize, while the Rao-Blackwell filtering mechanism reduces the external noise and interferen
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Bar-Lev, Shaul K. "Independent, Tough Identical Results: The Class of Tweedie on Power Variance Functions and the Class of Bar-Lev and Enis on Reproducible Natural Exponential Families." International Journal of Statistics and Probability 9, no. 1 (2019): 30. http://dx.doi.org/10.5539/ijsp.v9n1p30.

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The Rao-Blackwell theorem has had a fundamental role in statistical theory. However, as opposed to what seems natural, Rao and Blackwell did not investigate and write the theorem jointly. In fact, they both published the same result independently, two years apart. Indeed, as C.R. Rao writes in Wikipedia: ”the result on one parameter case was published by Rao (1945) in the Bulletin of the Calcutta Mathematical Society and by Blackwell (1947) in The Annals of Mathematical Statistics. Only Lehmann and Sche ´e (1950) called the result as Rao-Blackwell theorem”. Forty
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Baddeley, A. J., and L. M. Cruz-Orive. "The Rao–Blackwell theorem in stereology and some counterexamples." Advances in Applied Probability 27, no. 01 (1995): 2–19. http://dx.doi.org/10.1017/s0001867800046188.

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A version of the Rao–Blackwell theorem is shown to apply to most, but not all, stereological sampling designs. Estimators based on random test grids typically have larger variance than quadrat estimators; randoms-dimensional samples are worse than randomr-dimensional samples fors < r.Furthermore, the standard stereological ratio estimators of different dimensions are canonically related to each other by the Rao–Blackwell process. However, there are realistic cases where sampling with a lower-dimensional probeincreasesefficiency. For example, estimators based on (conditionally) non-rando
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Shu, Yu, Aiyi Liu, and Zhaohai Li. "Point and interval estimation of accuracies of a binary medical diagnostic test following group sequential testing." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 366, no. 1874 (2008): 2335–45. http://dx.doi.org/10.1098/rsta.2008.0041.

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When hypotheses concerning the sensitivity and specificity of a binary medical diagnostic test are simultaneously tested using a group sequential procedure, constructing point and interval estimates of the parameters is challenging because there is no unique way to order sample points in the two-dimensional space. In this paper, upon termination of a group sequential procedure, we compare the bias and mean squared errors of the maximum-likelihood and Rao–Blackwell unbiased estimators of sensitivity and specificity. Confidence intervals (CIs) of the two parameters were constructed using normal
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Baddeley, A. J., and L. M. Cruz-Orive. "The Rao–Blackwell theorem in stereology and some counterexamples." Advances in Applied Probability 27, no. 1 (1995): 2–19. http://dx.doi.org/10.2307/1428091.

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A version of the Rao–Blackwell theorem is shown to apply to most, but not all, stereological sampling designs. Estimators based on random test grids typically have larger variance than quadrat estimators; random s-dimensional samples are worse than random r-dimensional samples for s < r. Furthermore, the standard stereological ratio estimators of different dimensions are canonically related to each other by the Rao–Blackwell process. However, there are realistic cases where sampling with a lower-dimensional probe increases efficiency. For example, estimators based on (conditionally) non-ran
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Félix-Medina, Martı́n H. "Analytical expressions for Rao–Blackwell estimators in adaptive cluster sampling." Journal of Statistical Planning and Inference 84, no. 1-2 (2000): 221–36. http://dx.doi.org/10.1016/s0378-3758(99)00138-x.

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Ristic, Branko, Ajith Gunatilaka, and Yan Wang. "Rao–Blackwell dimension reduction applied to hazardous source parameter estimation." Signal Processing 132 (March 2017): 177–82. http://dx.doi.org/10.1016/j.sigpro.2016.10.005.

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Rudjord, Ø., N. E. Groeneboom, H. K. Eriksen, Greg Huey, K. M. Górski, and J. B. Jewell. "COSMIC MICROWAVE BACKGROUND LIKELIHOOD APPROXIMATION BY A GAUSSIANIZED BLACKWELL-RAO ESTIMATOR." Astrophysical Journal 692, no. 2 (2009): 1669–77. http://dx.doi.org/10.1088/0004-637x/692/2/1669.

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Daly-Grafstein, Daniel, and Luke Bornn. "Rao-Blackwellizing field goal percentage." Journal of Quantitative Analysis in Sports 15, no. 2 (2019): 85–95. http://dx.doi.org/10.1515/jqas-2018-0064.

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Abstract Shooting skill in the NBA is typically measured by field goal percentage (FG%) – the number of makes out of the total number of shots. Even more advanced metrics like true shooting percentage are calculated by counting each player’s 2-point, 3-point, and free throw makes and misses, ignoring the spatiotemporal data now available (Kubatko et al. 2007). In this paper we aim to better characterize player shooting skill by introducing a new estimator based on post-shot release shot-make probabilities. Via the Rao-Blackwell theorem, we propose a shot-make probability model that conditions
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Dissertations / Theses on the topic "Rao-Blackwell"

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Chu, I.-Wen Mike. "Cosmological parameter constraints via Gibbs sampling and the Blackwell-Rao estimator /." For electronic version search Digital dissertations database. Restricted to UC campuses. Access is free to UC campus dissertations, 2005. http://uclibs.org/PID/11984.

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Petetin, Yohan. "Algorithmes de restauration bayésienne mono- et multi-objets dans des modèles markoviens." Phd thesis, Institut National des Télécommunications, 2013. http://tel.archives-ouvertes.fr/tel-00939083.

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Cette thèse est consacrée au problème d'estimation bayésienne pour le filtrage statistique, dont l'objectif est d'estimer récursivement des états inconnus à partir d'un historique d'observations, dans un modèle stochastique donné. Les modèles stochastiques considérés incluent principalement deux grandes classes de modèles : les modèles de Markov cachés et les modèles de Markov à sauts conditionnellement markoviens. Ici, le problème est abordé sous sa forme générale dans la mesure où nous considérons le problème du filtrage mono- et multi objet(s), ce dernier étant abordé sous l'angle de la thé
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Caron, Virgile. "Un théorème limite conditionnel : applications à l'inférence conditionnelle et aux méthodes d'Importance Sampling." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2012. http://tel.archives-ouvertes.fr/tel-00763369.

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Cette thèse présente une approximation fine de la densité de longues sous-suites d'une marche aléatoire conditionnée par la valeur de son extrémité, ou par une moyenne d'une fonction de ses incréments, lorsque sa taille tend vers l'infini. Dans le domaine d'un conditionnement de type grande déviation, ce résultat généralise le principe conditionnel de Gibbs au sens où il décrit les sous suites de la marche aléatoire, et non son comportement marginal. Une approximation est aussi obtenue lorsque l'événement conditionnant énonce que la valeur terminale de la marche aléatoire appartient à un ensem
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Book chapters on the topic "Rao-Blackwell"

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Cohen, Arthur. "Rao–Blackwell Theorem." In International Encyclopedia of Statistical Science. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-04898-2_479.

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Seber, George A. F., and Mohammad M. Salehi. "Rao-Blackwell Modifications." In Adaptive Sampling Designs. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-33657-7_3.

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Yamada, Sakutarō. "The Rao-Blackwell theorem and UMVUE." In Pivotal Measures in Statistical Experiments and Sufficiency. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-2644-4_5.

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Hankin, David G., Michael S. Mohr, and Ken B. Newman. "Equal probability sampling." In Sampling Theory. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198815792.003.0003.

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This chapter presents a formal quantitative treatment of material covered conceptually in Chapter 2, all with respect to equal probability with replacement (SWR) and without replacement selection simple random sampling, (SRS) of samples of size n from a finite population of size N. Small sample space examples are used to illustrate unbiasedness of mean-per-unit estimators of the mean, total and proportion of the target variable, y, for SWR and SRS. Explicit formulas for sampling variance indicate how estimator uncertainty depends on finite population variance, sample size and sampling fraction. Measures of the relative performance of alternative sampling strategies (relative precision, relative efficiency, net relative efficiency) are introduced and applied to mean-per-unit estimators used for the SWR and SRS selection methods. Normality of the sampling distribution of the SRS mean-per-unit estimator depends on sample size but also on the shape of the distribution of the target variable, y, values over the finite population units. Normality of the sampling distribution is required to justify construction of valid 95% confidence intervals that may be constructed around sample estimates based on unbiased estimates of sampling variance. Methods to calculate sample size to achieve accuracy objectives are presented. Additional topics include Bernoulli sampling (a without replacement selection scheme for which sample size is a random variable), the Rao–Blackwell theorem (which allows improvement of estimators that are based on selection methods which may result in repeated selection of the same units), oversampling and nonresponse.
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"from CD99 high expressors but membranes from CD99 low expressors required exposure of 5 minutes before the 32 kD band was apparent [50]. Unfortunately, these tests gave no information about the Xga protein because the position of the Xga band was masked by the antibody light chain which became labelled. However, a 32 kD band was seen in the Xga-immunoprecipitate from Xg(a+) but not from Xg(a-) cells [50]. It has not yet been proved that this is the CD99 protein because this band was not stained by immunoblotting Xga-immunoprecipitates with 12E7. The luciferin-enhanced luminescent proceedure to detect the avidin-biotin label is very much more sensitive than immunoblotting. Our results support the theory that Xga and CD99 may be associated in the membrane. Cloning of the XG gene will increase our understanding of this relationship. The important blood group genes have been cloned but two big problems remain, regulation on antigen expression and the function of blood group polymorphisms. Rare phenotypes should still be studied because they will contribute to unravelling the mechanisms responsible for the polymorphisms. The wealth of serological information which continues to increase includes many examples of variable expression of red cell antigens. Some antigens do not show the same variation on other cells suggesting that some modes of regulation may be limited to red cells. Association of blood group antigens with proteins of known function and identification of red cell antigens on cells other than red cells will contibute to understanding the functions of the blood group polymorphisms. REFERENCES 1. P.L. Mollison, C.P. Engelfreit and M. Contreras, Blood Transfusion in Clinical Medicine. Blackwell Scientfic Publications, Oxford (1993). 2. M. Lewis (Chairman) et al, Vox Sang., 61_, 158-160 (1991). 3. G.L. Daniels, J.J. Moulds (chairman) et al, Vox Sang., 65, 77-80 (1993). 4. A.C. Petty, J. Immunol. Meth., 161. 91-95 (1993). 5. J. M. Moulds, in Immunobiology of Transfusion Medicine. G. Garratty ed. Marcel Dekker. Inc., New York, (1994) pp. 273-297. 6. J.M. Moulds, M.W. Nickells, J.J. Moulds, M.C. Brown and J.P. Atkinson, J. Exp. Med., 173, 1159-1163 (1991). 7. N. Rao, D.J. Ferguson, S-F. Lee and M.J. Telen, J. Immun., 146, 3502-3507 (1991). 8. A.C. Petty, (abs) Transfusion Medicine 3 Suppl 1, 84 (1993). 9. J.M. Moulds, J.J. Moulds, M. Brown and J.P. Atkinson, Vox Sang. 62, 230-235 (1992)." In Transfusion Immunology and Medicine. CRC Press, 1995. http://dx.doi.org/10.1201/9781482273441-16.

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Conference papers on the topic "Rao-Blackwell"

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Li, Jiajin, Baoxiang Wang, and Shengyu Zhang. "Policy Optimization with Second-Order Advantage Information." In Twenty-Seventh International Joint Conference on Artificial Intelligence {IJCAI-18}. International Joint Conferences on Artificial Intelligence Organization, 2018. http://dx.doi.org/10.24963/ijcai.2018/699.

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Policy optimization on high-dimensional continuous control tasks exhibits its difficulty caused by the large variance of the policy gradient estimators. We present the action subspace dependent gradient (ASDG) estimator which incorporates the Rao-Blackwell theorem (RB) and Control Variates (CV) into a unified framework to reduce the variance. To invoke RB, our proposed algorithm (POSA) learns the underlying factorization structure among the action space based on the second-order advantage information. POSA captures the quadratic information explicitly and efficiently by utilizing the wide \&am
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