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Estimation of Continuous-time Markov Processes Sampled at Random Time Intervals
Method of moments parameter estimation Markov process
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2015/7/6
We introduce a family of generalized-method-of-moments estimators of the parameters of a continuous-time Markov process observed at random time intervals. The results include strong consistency, asymp...
Using the Continuous Spectrum to “Feel” Integrability: the Effect of Boundary Conditions
Test model integrability partial differential differential difference equations of continuous spectrum
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2014/12/29
The scope of this work is to propose a method for testing the integrability of a model partial differential (PDE) and/or differential difference equation (DDE). For monoparametric families of PDE/DDE’...
A Scoring System for Continuous Glucose Monitor Data
Scoring System Continuous Glucose Monitor Data
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2013/6/14
As continuous glucose monitors (CGMs) are used increasingly by diabetic patients, new and intuitive tools are needed to help patients and their physicians use these streams of data to improve blood gl...
Zero Intelligence Models of the Continuous Double Auction: Empirical Evidence and Generalization
Continuous double auction zero intelligence models econometric estimation consistency asymptotic normality
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2013/4/28
The paper is devoted to statistical analysis of zero intelligence models of continuous double auction, in particular to an estimation of parameters of limit order books. We review "classical" zero int...
Inference about ATE from Observational Studies with Continuous Outcome and Unmeasured Confounding
Inference about ATE Observational Studies Continuous Outcome Unmeasured Confounding
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2013/4/28
For settings with a binary treatment and a binary outcome, instrumental variables can be used to construct bounds on a causal treatment effect. With continuous outcomes, meaningful bounds are more dif...
On Bayesian Nonparametric Continuous Time Series Models
Change point Mixture model
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2013/4/27
This paper is a note on the use of Bayesian nonparametric mixture models for continuous time series. We identify a key requirement for such models, and then establish that there is a single type of mo...
An EM Algorithm for Continuous-time Bivariate Markov Chains
Parameter estimation EM algorithm Continuous-time bivariate Markov chain
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2011/7/19
We study properties and parameter estimation of finite-state homogeneous continuous-time bivariate Markov chains.
Consistency of Markov chain quasi-Monte Carlo on continuous state spaces
Completely uniformly distributed coupling iterated function mappings Markov chain Monte Carlo
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2011/6/17
The random numbers drivingMarkov chainMonte Carlo (MCMC)
simulation are usually modeled as independent U(0, 1) random variables.
Tribble [Markov chain Monte Carlo algorithms using completely
unifor...
Evaluating the diagnostic powers of variables and their linear combinations when the gold standard is continuous
ROC curve Area under curve Gold standard Classification
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2011/6/16
The receiver operating characteristic (ROC) curve is a very useful tool for
analyzing the diagnostic/classification power of instruments/classification
schemes as long as a binary-scale gold standar...
A continuous mapping theorem for the smallest argmax functional
continuous mapping smallest argmax d-dimensional Skorohod space
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2011/6/16
This paper introduces a version of the argmax continuous mapping theorem that applies
to M-estimation problems in which the objective functions converge to a limiting process with
multiple maximizer...
Smooth plug-in inverse estimators in the current status continuous mark model
asymptotic distribution bivariate kernel estimation continuous mark variable consistency current status data plug-in estimation
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2011/3/21
We consider the problem of estimating the joint distribution function of the event time and a continuous mark variable when the event time is subject to interval censoring case 1 and the continuous ma...
Intensive natural distribution as Bernoulli success ratio extension to continuous: enhanced Gaussian, continuous Poisson, and phenomena explanation
Intensive natural distribution as Bernoulli success ratio extension continuous Poisson phenomena explanation
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2011/3/18
A new distribution called intensive natural distribution is introduced with the intent of merging statistics and empirical data. Based on the probability derived from the Bernoulli distribution, this ...
Deep determinism and the assessment of mechanistic interaction between categorical and continuous variables
Methodology (stat.ME) Genomics (q-bio.GN)
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2010/12/17
Our aim is to detect mechanistic interaction between the effects of two causal factors on a binary response, as an aid to identifying situations where the effects are mediated by a common mechanism.
Uniform error bounds for a continuous approximation of non-negative random variables
gamma distribution Laplace transform phase-type distribution
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2010/10/19
In this work, we deal with approximations for distribution functions of non-negative random variables. More specifically, we construct continuous approximants using an acceleration technique over a w...
Some Proofs on Statistical Magnitudes for Continuous Phenomena
Near-continuity disequilibrium Shannon information statistical complexity
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2010/3/11
In this work, the proofs concerning the continuity of the disequilibrium, Shannon information and statistical
complexity in the space of distributions are presented. Also, some results on the existen...