منابع مشابه
Optimization of variance-stabilizing transformations
Variance-stabilizing transformations are commonly exploited in order to make non-homoskedastic data easily tractable by standard methods. However, for the most common families of distributions (e.g., binomial, Poisson, etc.) exact stabilization is not possible and even achieving some approximate stabilization turns out to be rather challenging. We approach the variance stabilization problem as ...
متن کاملTransformations of Self-Stabilizing Algorithms
In this paper, we are interested in transformations of self-stabilizing algorithms from one model to another that preserve stabilization. We propose an easy technique for proving correctness of a natural class of transformations of self-stabilizing algorithms from any model to any other. We present a new transformation of self-stabilizing algorithms from a message passing model to a shared memo...
متن کاملVariance-stabilizing transformations for two-color microarrays
MOTIVATION Authors of several recent papers have independently introduced a family of transformations (the generalized-log family), which stabilizes the variance of microarray data up to the first order. However, for data from two-color arrays, tests for differential expression may require that the variance of the difference of transformed observations be constant, rather than that of the trans...
متن کاملVariance-stabilizing and Confidence-stabilizing Transformations for the Normal Correlation Coefficient with Known Variances
Fosdick and Raftery (2012) revisited the classical problem of inference for a bivariate normal correlation coefficient ρ when the variances are known. They considered several frequentist and Bayesian estimators, the former including the maximum likelihood estimator (MLE), but did not obtain the standard errors of these estimators or confidence intervals for ρ. Here we present a new variance-sta...
متن کاملApproximate Variance-stabilizing Transformations for Gene-expression Microarray Data
MOTIVATION A variance stabilizing transformation for microarray data was recently introduced independently by several research groups. This transformation has sometimes been called the generalized logarithm or glog transformation. In this paper, we derive several alternative approximate variance stabilizing transformations that may be easier to use in some applications. RESULTS We demonstrate...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 1973
ISSN: 0090-5364
DOI: 10.1214/aos/1193342384