Kendall's advanced theory of statistics

By M. Kendall, A. Stuart, J. Keith Ord. 1995

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In Statistics and Probability

Citations in the corpus

Predicting Tactical Solutions to Operational Planning Problems under Imperfect Information (2018, background): “From Cheby-shev’s inequality (e.g., Kendall et al., 1987), we know that the probability that the exact lower bound lies approximately inside three times the estimated standard error of estimate 8.08E-02 from either side of the sample MAE 2.682 is greater than 89%.”
An Adaptive Ensemble Kalman Filter (2000, background): “The second term has a x2 distribution with ninnov degrees of freedom (Lupton 1993, chapter 4; Stuart and Ord 1987, section 15.10), and therefore has expectation value ninnov and variance 2ninnov.”
Reliability in composites – a selective review and survey of current development (2012, background): “(16) [48], were considered by proper choice of the parameters k and bi (i = 0, 1, 2).”
Systematic interpretation of genetic interactions using protein networks (2005, methodology): “Accuracy of these predictions was estimated using cross validatio”
Parametric Properties of Semi-Nonparametric Distributions, with Applications to Option Valuation (2009, unknown): “Under certain regularity conditions, any density function h ( y ) can be expressed as the product of a standard normal density times an in (cid:222) nite series of Hermite polynomials: where the coe ﬃ cients c k are This is the so-called Gram-Charlier series of Type A (see Stuart and Ord, 1977).”
A New Statistical Similarity Measure for Change Detection in Multitemporal SAR Images and Its Extension to Multiscale Change Analysis (2007, methodology): “We have chosen to use a measure derived from Information Theory called the Kullback-Leibler divergence [14].”
Inference for Density Families Using Functional Principal Component Analysis (2001, background): “The use of differential equation (D IFE) (4) has a long history in statistics summarized by Ord (1972) and Stuart and Ord (1987).”
On use of Bayesian statistics to make the Guide to the Expression of Uncertainty in Measurement consistent (2003, methodology): “Let zA = (1/m) ∑ i zi , then the distribution of the ratio (zA − μ)/(σ/ √ m) tends to normal distribution with expected value zero and standard deviation one as m tends to infinity [16].”
Statistical reconstruction of two-phase random media (2014, methodology): “Higher order statistics [46] is a category of methods for testing non-Gaussianity.”