Bayesian Growth Curves Using Normal Mixtures With Nonparametric Weights
نویسندگان
چکیده
منابع مشابه
Bayesian growth curves using normal mixtures with nonparametric weights
Reference growth curves estimate the distribution of a measurement as it changes according to some covariate, often age. We present a new methodology to estimate growth curves based on mixture models and splines. We model the distribution of the measurement with a mixture of normal distributions with an unknown number of components, and model dependence on the covariate through the weights, usi...
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1.1. The matrix Ξkk′ In the main text, we are given two unit vectors μ1k and μ2k′ in R. We define Ξkk′ = Ξ(μ1k, μ2k′), where Ξ(u, v) ∈ R4×4 is defined by u (q ◦ v) = qΞ(u, v)q, where u = (ui, uj , uk), v = (vi, vj , vk), and q = (qi, qj , qk, qr). By standard quaternion rotation formula, we have u (q ◦ v) = ui uj uk T 1− 2q j − 2q k 2(qiqj − qkqr) 2(qiqk + qjqr) 2(qiqj + qkqr) 1− 2q i − 2...
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ژورنال
عنوان ژورنال: Journal of Computational and Graphical Statistics
سال: 2003
ISSN: 1061-8600,1537-2715
DOI: 10.1198/1061860031725