Lecture Notes on Statistics

By Kevin Zhou

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Telling cause from effect in deterministic linear dynamical systems (2015, neutral): “To be able to build such knowledge without interventions, these approaches have to rely on key assumptions pertaining to the mechanisms generating the observed data.”
Stationarity and geometric ergodicity of BEKK multivariate GARCH models (2011, unknown): “Email: robert.stelzer@uni-ulm.de, www.uni-ulm.de/mawi/finmath.html this is not so hard a question for some multivariate GARCH specifications where – as in the ConstantConditional-Correlation (CCC) Model or its extensions – the variances are modelled by univariate GARCH models, we address this…”
Wavelets, Ridgelets, and Curvelets for Poisson Noise Removal (2008, unknown): “It can be seen that the variance of we seek a transformation Z := T ( Y ) such that Var [ Z ] is (asymptotically) constant, say 1 , irrespective of the value of λ .”
Learning Bayesian networks from data: An information-theory based approach (2002, unknown): “Using some statistical tests (such as chi-squared or mutual information), we can find the conditional independence relationships among the nodes and use these relationships as constraints to construct a BN.”
Efficient Multipath Mitigation in Navigation Systems (2004, methodology): “We may cite the Generalised Likelihood Ratio test [Ott93], and the existing statistical literature on non-linear regression models, [Wei98].”