Showing 1 - 10 of 18
Distance-based classifiers are generally considered to be effective at discriminating between populations that differ in location. Indeed, nearest-neighbour methods and the support vector machine are frequently used in very high-dimensional problems involving gene expression data, where it is...
Persistent link: https://www.econbiz.de/10005018150
In standard parametric classifiers, or classifiers based on nonparametric methods but where there is an opportunity for estimating population densities, the prior probabilities of the respective populations play a key role. However, those probabilities are largely ignored in the construction of...
Persistent link: https://www.econbiz.de/10008553412
The left-hand side of equation (2·8), on p. 671, should read {π<sub>1</sub> (1 − π<sub>1</sub>)}-super-−1/2 (2π<sub>1</sub> − 1) rather than {(1 − π<sub>1</sub>)/π<sub>1</sub>}-super-1/2 (2π<sub>1</sub> − 1). Reflecting this change, the left-hand side of equation (3·1) on the same page should be altered to <inline-formula><mml:math><mml:mrow><mml:mo stretchy="false">{</mml:mo><mml:msup><mml:mrow><mml:msub><mml:mrow><mml:mo ver><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mi>Ȣ 7;</mml:mi></mml:mrow></mml:mover></mml:mrow><mml:mrow><mml:mn>1</mml:mn>< /mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml :msub><mml:mrow><mml:mover><mml:mrow><mml:mi>π</mml:mi></mml:mrow>< mml:mrow><mml:mi>∧</mml:mi></mml:mrow></mml:mover></mml:mrow><mml:m row><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">}</mml:mo></mml:mrow><mml:mrow><mml:mo>−</mml:mo>< mml:mn>1/2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:msub><mml:mrow><mml:move r><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mi>∧ </mml:mi></mml:mrow></mml:mover></mml:mrow><mml:mrow><mml:mn>1</mml:mn></m...</mml:mo><//m></mml:mrow></mml:move></mml:m></mml></mml:mo></mml:math></inline-formula>
Persistent link: https://www.econbiz.de/10005447058
If Fourier series are used as the basis for inference in deconvolution problems, the effects of the errors factorise out in a way that is easily exploited empirically. This property is the consequence of elementary addition formulae for sine and cosine functions, and is not readily available...
Persistent link: https://www.econbiz.de/10005743412
We suggest a completely empirical approach to the construction of confidence bands for hazard functions, based on smoothing the Nelsen-Aalen estimator. In particular, we introduce a local bandwidth-choice method. Our approach uses empirical information about both the survival rate and the...
Persistent link: https://www.econbiz.de/10005743413
We suggest a nonparametric approach to making inference about the structure of distributions in a potentially infinite-dimensional space, for example a function space, and displaying information about that structure. It is suggested that the simplest way of presenting the structure is through...
Persistent link: https://www.econbiz.de/10005743481
The objective of this paper is to estimate a bivariate density nonparametrically from a dataset from the joint distribution and datasets from one or both marginal distributions. We develop a copula-based solution, which has potential benefits even when the marginal datasets are empty. For...
Persistent link: https://www.econbiz.de/10005743497
In this paper we propose simple, general tiered classifiers for relatively complex data. Empirical studies on real and simulated data show that three two-tier classifiers, which are respective extensions of linear discriminant analysis, linear logistic regression and support vector machines, can...
Persistent link: https://www.econbiz.de/10010683221
In some problems involving functional data, it is desired to undertake prediction or classification before the full trajectory of a function is observed. In such cases, it is often preferable to suffer somewhat greater error in return for making a decision relatively early. The prediction and...
Persistent link: https://www.econbiz.de/10010600368
The bootstrap provides effective and accurate methodology for a wide variety of statistical problems which might not otherwise enjoy practicable solutions. However, there still exist important problems where standard bootstrap estimators are not consistent, and where alternative approaches, for...
Persistent link: https://www.econbiz.de/10009148375