Results 21 to 30 of about 62,585 (293)

Matrix rank and inertia formulas in the analysis of general linear models

Open Mathematics, 2017
Matrix mathematics provides a powerful tool set for addressing statistical problems, in particular, the theory of matrix ranks and inertias has been developed as effective methodology of simplifying various complicated matrix expressions, and ...
Tian Yongge
doaj   +1 more source

Optimal estimators in biadditive models and their families

Frontiers in Applied Mathematics and Statistics
Biadditive regression models are linear models with an additive structure for their covariance matrix. We introduce commutative conditions and derive optimal estimators, namely Best Linear Unbiased Estimators (BLUE) and Best Quadratic Unbiased Estimators
Manuela Oliveira, Eugénio Garção, Armando Alexandre, Joana Paulino, João Mexia   +4 more
doaj   +1 more source

Constrained Best Linear Unbiased Estimation

, 2017
The least squares (LS) estimator and the best linear unbiased estimator (BLUE) are two well-studied approaches for the estimation of a deterministic but unknown parameter vector. In many applications it is known that the parameter vector fulfills some constraints, e.g., linear constraints.
Lang, Oliver, Huemer, Mario, Steindl, Markus   +2 more
openaire   +2 more sources

Sharp Oracle Inequalities for Aggregation of Affine Estimators [PDF]

, 2012
We consider the problem of combining a (possibly uncountably infinite) set of affine estimators in non-parametric regression model with heteroscedastic Gaussian noise.
Dalalyan, Arnak, Salmon, Joseph
core   +6 more sources

Relationships for Moments of Generalized Order Statistics from Hjorth Distribution and Related Inference

Journal of Statistical Theory and Applications (JSTA), 2021
In this paper some recurrence relations satisfied by single and product moments of generalized order statistics from Hjorth distribution have been obtained.
Jagdish Saran, Kanika Verma, Narinder Pushkarna   +2 more
doaj   +1 more source

Mean squared error of empirical predictor

, 2004
The term ``empirical predictor'' refers to a two-stage predictor of a linear combination of fixed and random effects. In the first stage, a predictor is obtained but it involves unknown parameters; thus, in the second stage, the unknown parameters are ...
Das, Kalyan, Jiang, Jiming, Rao, J. N. K.   +2 more
core   +2 more sources

Risk hull method for spectral regularization in linear statistical inverse problems [PDF]

, 2010
International audienceWe consider in this paper the statistical linear inverse problem $Y=Af+\epsilon\xi$ where $A$ denotes a compact operator, $\epsilon$ a noise level and $\xi$ a stochastic noise.
Barron, Bauer, Birgé, Bissantz, Bissantz, Bissantz, Cao, Cavalier, Cavalier, Cavalier, Clément Marteau, Donoho, Efromovich, Engl, Ermakov, Golubev, Hanke, Johnstone, Johnstone, Kneip, Loubes, Marteau, Mathé, Mathé   +23 more
core   +3 more sources

Best Linear Unbiased Estimators for Fusion of Multiple CYGNSS Soil Moisture Products

IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing
NASA's Cyclone Global Navigation Satellite System (CYGNSS) mission has gained significant attention within the land remote sensing community for estimating soil moisture (SM) using the Global Navigation System Reflectometry technique.
M M Nabi, Volkan Senyurek, Mehmet Kurum, Ali Cafer Gurbuz   +3 more
doaj   +1 more source

Estimation of the location parameter of distributions with known coefficient of variation by record values

Statistica, 2014
In this article, we derived the Best Linear Unbiased Estimator (BLUE) of the location parameter of certain distributions with known coefficient of variation by record values. Efficiency comparisons are also made on the proposed estimator with some of the
N. K. Sajeevkumar, M. R. Irshad
doaj   +1 more source

On Progressive Type-II Censored Samples from Alpha Power Exponential Distribution

Journal of Mathematics, 2020
In this paper the two-parameter α-power exponential distribution is studied. We study the two-parameter α-power exponential μ,λ distribution with the location parameter μ>0 and scale parameter λ>0 under progressive Type-II censored data with fixed shape ...
Mukhtar M. Salah
doaj   +1 more source