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LEAST SQUARES ESTIMATION OF DISCRETE LINEAR DYNAMIC SYSTEMS USING ORTHOGONAL TRANSFORMATIONS
DISCRETE LINEAR DYNAMIC SYSTEMS ORTHOGONAL TRANSFORMATIONS
2015/7/3
Kalman [9] introduced a method for estimating the state of a discrete linear dynamic
system subject to noise. His method is fast but has poor numerical properties. Duncan and Horn [3]
showed that th...
Discrete holomorphic geometry I. Darboux transformations and spectral curves
Discrete regular concept map discrete Riemann discrete differential geometry the discrete surface
2014/12/24
Finding appropriate notions of discrete holomorphic maps and, more generally, conformal immersions of discrete Riemann surfaces into 3-space is an important problem of discrete differential geometry a...
Jacobians of singular matrix transformations: Extensions
Jacobians Hausdorff measure real, complex, quaternion and octonion singular random ma-trices real normed division algebras.
2012/9/19
This article presents a unified approach to simultaneously compute the Jacobians of several singular matrix transformations in the real, complex, quaternion and octonion cases. Formally, these Jacobia...
Markov Chain Monte Carlo Based on Deterministic Transformations
Geostatistics High dimension Inverse transfromation Jacobian
2011/7/6
In this article we propose a novel MCMC method based on deterministic transformations T : X x D --> X where X is the state-space and D is some set which may or may not be a subset of X. We refer to ou...
Robust Estimation through Schoenberg transformations
Correspondence Analysis Euclidean distances Huber func-tion Huygens principles M-estimators Schoenberg transformations Tukey bisquare
2011/3/24
Schoenberg transformations, mapping Euclidean configurations into Euclidean configurations, define in turn a transformed inertia, whose minimization produces robust location estimates. The procedure o...
General Υ-transformations
Transformations of Levy measures domains and ranges mutiplicative convolution
2009/6/12
In considerable generality,the mappings are one-to-one,regularising and bi-continuous.Furthermore,in many cases the transformations have a stochastic interpretation in terms of random integrals with r...
Transformations of infinitely divisible distributions via improper stochastic integrals
improper stochastic integral independently scattered random measure innitely divisible distribution Levy measure
2009/6/12
Transformations of infinitely divisible distributions via improper stochastic integrals.
The realization of positive random variables via absolutely continuous transformations of measure on Wiener space
positive random variables continuous transformations Wiener space
2009/5/18
Let $mu$ be a Gaussian measure on some measurable space ${W = {w}, calB (W)}$ and let $nu$ be a measure on the same space which is absolutely continuous with respect to $nu$. The paper surveys results...
A note on ergodic transformations of self-similar Volterra Gaussian processes
Gaussian process deterministic kernel Brownian motion
2009/3/27
We derive a class of ergodic transformation of self-similar Gaussian processes that are Volterra, i.e. of type X_t = int^t_0 z_X(t,s)dW_s, t in [0,infty), where z_X is a deterministic kernel and W is ...
A note on ergodic transformations of self-similar Volterra Gaussian processes
note ergodic transformation Gaussian processes
2009/3/23
We derive a class of ergodic transformation of self-similar Gaussian processes that are Volterra, i.e. of type X_t = int^t_0 z_X(t,s)dW_s, t in [0,infty), where z_X is a deterministic kernel and W is ...