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Mixed Poisson Regression Models with Covariate Dependent Rates
Biometrics, 1996This paper studies a class of Poisson mixture models that includes covariates in rates. This model contains Poisson regression and independent Poisson mixtures as special cases. Estimation methods based on the EM and quasi-Newton algorithms, properties of these estimates, a model selection procedure, residual analysis, and goodness-of-fit test are ...
Wang, Peiming +3 more
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Quantile regression for rating teams
Statistical Modelling, 2007Quantile regression is proposed for modeling game out comes and as the basis for rating teams. The model includes the standard location model for team strength as a special case, while allowing for a richer specification in which teams differ according to the quantiles of the out come distribution.
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Convergence rates for constrained regression splines
Journal of Statistical Planning and Inference, 2018Abstract Convergence rates of regression spline estimators have been established for a general framework in statistical modeling. It is well known that q th-order regression splines have optimal rates under mild assumptions. Increasing the number of knots tends to improve the approximation error rate but worsen the estimation error rate, and the
Mary C. Meyer +2 more
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Breathing rate estimation based on multiple linear regression
Computer Methods in Biomechanics and Biomedical Engineering, 2021The breathing rate is a key clinical parameter that can now be estimated using photoplethysmographic methods. Here, we present an indirect method of breathing rate estimation that does not require bulky and uncomfortable sensors. Breathing modulates a pulsed wave; we extracted the maximum and minimum values, and first-order derivatives thereof, to ...
Wenbo Li, Ziyang Chen
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A regression method for modelling geometric rates
Statistical Methods in Medical Research, 2015The occurrence of an event of interest over time is often summarized by the incidence rate, defined as the average number of events per person-time. This type of rate applies to events that may occur repeatedly over time on any given subject, such as infections, and Poisson regression represents a natural regression method for modelling the effect of ...
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Regression Analysis of Relative Survival Rates
Applied Statistics, 1987Survival from cancer or other chronic diseases is often measured using the relative survival rate. This, in turn, is defined as the ratio of the observed survival rate in the patient group under consideration to the expected survival rate in a group taken from the general population.
T. Hakulinen, L. Tenkanen
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2008
Epidemiological studies often involve the calculation of rates, typically rates of death or incidence rates of a chronic or acute disease. This is based upon counts of events occurring within a certain amount of time. The Poisson regression method is often employed for the statistical analysis of such data. However, data that are not actually counts of
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Epidemiological studies often involve the calculation of rates, typically rates of death or incidence rates of a chronic or acute disease. This is based upon counts of events occurring within a certain amount of time. The Poisson regression method is often employed for the statistical analysis of such data. However, data that are not actually counts of
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Explaining Unemployment Rates with Symbolic Regression
2014Much of the research on the accuracy of symbolic regression (SR) has focused on artificially constructed search problems where there is zero noise in the data. Such problems admit of exact solutions but cannot tell us how accurate the search process is in a noisy real world domain. To explore this question symbolic regression is applied here to an area
Philip Truscott, Michael F. Korns
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Regression Rate Studies in Hypergolic System
Combustion Science and Technology, 1981Regression ra tes of a hypergolic combination of fuel and oxidiser have been experimentally measured as a function of chamber pressure, mass flux and the percentage component of the hypergolic compound in natural rubber. The hypergolic compound used is difurfurylidene cyclohexanone (DFCH) which is hypergolic with the oxidiser red fuming nitric acid ...
Paul., PJ +4 more
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The Analysis of Rates Using Poisson Regression Models
Biometrics, 1983Models are considered in which the underlying rate at which events occur can be represented by a regression function that describes the relation between the predictor variables and the unknown parameters. Estimates of the parameters can be obtained by means of iteratively reweighted least squares (IRLS).
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