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Best linear unbiased estimators in continuous time regression models [PDF]
, 2016 In this paper the problem of best linear unbiased estimation is investigated for continuous-time regression models. We prove several general statements concerning the explicit form of the best linear unbiased estimator (BLUE), in particular when the ...
Dette, Holger +2 more
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Estimation of the parameter of L´evy distribution using ranked set sampling [PDF]
AUT Journal of Mathematics and Computing, 2021 Ranked set sampling is a statistical technique for data collection that generally leads to more efficient estimators than competitors based on simple random sampling.
Sahar Dorniani +2 more
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Asymptotic Analysis of Multilevel Best Linear Unbiased Estimators [PDF]
SIAM/ASA Journal on Uncertainty Quantification, 2021 We study the computational complexity and variance of multilevel best linear unbiased estimators introduced in [D. Schaden and E. Ullmann, SIAM/ASA J. Uncert. Quantif., (2020)]. We specialize the results in this work to PDE-based models that are parameterized by a discretization quantity, e.g., the finite element mesh size.
Daniel Schaden, Elisabeth Ullmann
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Journal of Statistical Theory and Applications (JSTA), 2020 The ranked-set sampling technique has been generalized so that a more efficient estimator may be obtained. This technique allows more than one unit from each set to be quantified.
A. Adatia, A.K.MD. Ehsanes Saleh
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Best Linear Unbiased Estimation of the nuclear masses [PDF]
Annals of Nuclear Energy, 2011 This paper presents methods to provide an optimal evaluation of the nuclear masses. The techniques used for this purpose come from data assimilation that allows combining, in an optimal and consistent way, information coming from experiment and from numerical model.
Bouriquet, Bertrand +1 more
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Optimal designs in regression with correlated errors [PDF]
, 2015 This paper discusses the problem of determining optimal designs for regression models, when the observations are dependent and taken on an interval. A complete solution of this challenging optimal design problem is given for a broad class of regression ...
Anatoly Zhigljavsky +5 more
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Best Linear Unbiased Allele‐Frequency Estimation in Complex Pedigrees [PDF]
Biometrics, 2004 Summary. Many types of genetic analyses depend on estimates of allele frequencies. We consider the problem of allele‐frequency estimation based on data from related individuals. The motivation for this work is data collected on the Hutterites, an isolated founder population, so we focus particularly on the case in which the relationships among the ...
McPeek, Mary Sara +2 more
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Design-based composite estimation of small proportions in small domains
Nonlinear Analysis, 2023 Traditional direct estimation methods are inefficient for domains of a survey population with small sample sizes. To estimate the domain proportions, we combine the direct estimators and the regression-synthetic estimators based on domain-level ...
Andrius Čiginas
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On the Lindley Record Values and Associated Inference
Journal of Statistical Theory and Applications (JSTA), 2018 In this paper, we discuss the record values arising from the Lindley distribution. We compute the means, variances and covariances of the record values.
A. Fallah +2 more
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Bayesian Inference and Prediction for Normal Distribution Based on Records
Statistica, 2018 Based on record data, the estimation and prediction problems for normal distribution have been investigated by several authors in the frequentist set up. However, these problems have not been discussed in the literature in the Bayesian context.
Akbar Asgharzadeh +3 more
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