Journal ArticleDOI
The bias and accuracy of moment estimators
C. A. Robertson,J. G. Fryer +1 more
TLDR
In this article, a new method for finding the biases and covariances of moment estimators to order n-2 is outlined and compared with existing solutions, which is likely to be particularly useful for cases where moment estimation is complicated.Abstract:
SUMMARY A new method for finding the biases and covariances of moment estimators to order n-2 is outlined and compared with existing solutions. It is thought that the new approach is likely to be particularly useful for cases where moment estimation is complicated. The application of the method to mixtures of normal distributions is considered in some detail and some numerical results are included.read more
Citations
More filters
Journal ArticleDOI
Mixture densities, maximum likelihood, and the EM algorithm
TL;DR: This work discusses the formulation and theoretical and practical properties of the EM algorithm, a specialization to the mixture density context of a general algorithm used to approximate maximum-likelihood estimates for incomplete data problems.
Journal ArticleDOI
Bias Correction in Generalized Linear Models
TL;DR: In this article, general formulae for first-order biases of maximum likelihood estimates of the linear parameters, linear predictors, the dispersion parameter and fitted values in generalized linear models were derived.
Journal ArticleDOI
A multilocus sequence survey in Arabidopsis thaliana reveals a genome-wide departure from a neutral model of DNA sequence polymorphism.
Karl Schmid,Sebastian E. Ramos-Onsins,Henriette Ringys-Beckstein,Bernd Weisshaar,Thomas Mitchell-Olds +4 more
TL;DR: Surveying nucleotide sequence polymorphism at 334 randomly distributed genomic regions in 12 accessions of Arabidopsis thaliana found that observed distributions of Tajima's D- and D/Dmin- and of Fu and Li's D-, D*- and F*, F*-statistics differed significantly from the expected distributions under a standard neutral model due to an excess of rare polymorphisms and high variances.
Journal ArticleDOI
The second-order bias and mean squared error of estimators in time-series models
Yong Bao,Aman Ullah +1 more
TL;DR: In this paper, the second-order bias and mean squared error of estimators in time-series models are analyzed for both normal and non-normal samples of observations, and where the regressors are stochastic.
Journal ArticleDOI
A comparison of some methods for estimating mixed normal distributions
J. G. Fryer,C. A. Robertson +1 more
TL;DR: In this article, two alternative methods, (i) moment estimates and (ii) multinomial maximum likelihood and minimum x2 estimates obtained by grouping the underlying variable, are compared both for bias to n − 1 and mean squared error to n-2 for a variety of mixed distributions.
References
More filters
Journal ArticleDOI
Contributions to the Mathematical Theory of Evolution
TL;DR: In this paper, the authors discuss the dissection of abnormal frequency-curve into normal curves, which is a special case of the normal curve problem, and the equations for dissection into n normal curves can be written down in the same manner as for the case of n = 2.
Journal ArticleDOI
The method of moments applied to a mixture of two exponential distributions
Journal ArticleDOI
Some descriptive properties of normal mixtures
C. A. Robertson,J. G. Fryer +1 more
TL;DR: In this article, the shape of the resulting distribution will vary in the extent to which it indicates the underlying structure, depending on the values of the parameters, and it does not seem unreasonable to suppose that the more the mixing structure is revealed the more accurately can the density be estimated in practice.
Journal ArticleDOI
Classical and Contagious Discrete Distributions
W. R. Buckland,Ganapati P. Patil +1 more