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Bias and variance in value function estimation

Twenty-first international conference on Machine learning - ICML '04, 2004
We consider the bias and variance of value function estimation that are caused by using an empirical model instead of the true model. We analyze these bias and variance for Markov processes from a classical (frequentist) statistical point of view, and in a Bayesian setting.
Shie Mannor   +3 more
openaire   +1 more source

Incomplete variance functions

Journal of Applied Statistics, 1990
Estimates of variance from samples depend strongly on extreme values. Incomplete variance functions may be used to explain the unreliability of variance estimates when the distribution is long-tailed.
openaire   +1 more source

Psychometric functions for the discrimination of spectral variance

The Journal of the Acoustical Society of America, 1996
An experiment was conducted to measure the shape of the psychometric function for the discrimination of spectral variance. The stimuli were simultaneous tone complexes comprised of the six octave frequencies from 250 to 8000 Hz. On each presentation the levels of components in dB were drawn independently and at random from one of two normal ...
R A, Lutfi, K A, Doherty, E, Oh
openaire   +2 more sources

Walsh functions, schema variance, and deception

Complex Syst., 2020
Summary: We show how the Walsh functions can be used to compute schema variance and relate schema variance to deception. We also calculate operator- adjusted fitness for Walsh functions.
Scott E. Page, David W. Richardson
openaire   +2 more sources

Estimating Variance Functions in Developmental Toxicity Studies

Biometrics, 1995
The presence of intralitter correlation is a well known issue for analysis of the developmental toxicology data. The intralitter correlation coefficients observed in developmental toxicology data are generally different across dose groups. In this paper we use a generalized estimating equation procedure to model jointly the mean parameters and the ...
Bowman, Dale   +2 more
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On the variance of additive functions

1983
Let f be a real-valued additive arithmetical function. The quantity $$D^2 (f,t) = x^{ - 1} \sum\limits_{n \leqq x} {(f(n) - t)^2 }$$ (1.1) assumes its minimum at $$t = M(f)\mathop = \limits^{def} x^{ - 1} \sum\limits_{n \leqq x} {\left[ {\frac{x} {{p^k }}} \right](f(p^k ) - f(p^{k - 1} ))}$$ (1.2) we call its value $$D^2 (f) = D^
openaire   +1 more source

Generalized Variance of Multivariate Omega Functions and Duality

Annals of Operations Research, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Analysis of variance on function spaces

Series Statistics, 1984
Summary: In this paper, we introduce the notion of analysis of variance on spaces of real functions defined on a product set and the ordinary analysis of variance in two way arrays appears as a special case. In order to obtain the results the theory of Gaussian measures on Banach spaces is employed and a decomposition into orthogonal subspaces of a ...
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The Analysis of Variance for Estimable Functions

Biometrical Journal, 1977
Drwiega, T., Oktaba, W.
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