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Fractional Polynomial Regression
Fractional Polynomial Regression

... 4. The simple model y = (A + Bx)/(1 + Cx) will usually work just fine. This model is specified by checking 'x' under both the Numerator Terms and Denominator Terms. 5. Experiment by trying several models and watching the R² value and the plots. Model Type: Fractional Polynomial Check the terms that ...
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... Maximum Likelihood • Parametric model • Data set (i.i.d.) • Likelihood function ...
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Mixture models: latent profile and latent class analysis
Mixture models: latent profile and latent class analysis

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... – each processor computes a local sieve – then integers that are less to are globally exchanged and a new sieve is applied to this list of integers (thus giving prime numbers) – each processor eliminates, in its own list, integers that are multiples of this first primes ...
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... › No big difference; note the level shift …. › RMSE of an ARIMA model on the linearized quarterly growth rate of SA data : 0.07 Building Flash Estimates for Selected PEEIs ...
Affine Independent Variational Inference
Affine Independent Variational Inference

... posteriors. For heavy-tailed posteriors that arise for example in robust or sparse Bayesian linear regression models, one choice is to use the generalised-normal as base density, which includes the Laplace and Gaussian distributions as special cases. For other models, for instance mixed data factor ...
Chapter12-Revised
Chapter12-Revised

... likelihood-based techniques at one end to thinly stated nonparametric methods that assume little more than mere association between variables at the other, and a rich variety in between. Even the experienced researcher could be forgiven for wondering how they should choose from this long menu. It is ...
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... From Markov chains to HMM •  While in a Markov chain the output in each state is known, in an HMM each state incorporates a probabilistic function to generate the output. •  An HMM can be thought of a double stochastic process (state sequence + output in each state), where the state sequence being ...
An Integrated Framework for Regression Based on Association Rules
An Integrated Framework for Regression Based on Association Rules

... Fayyad et al. in [10]. The method was based on the entropy of class distribution in each discretized interval, and the number of intervals is controlled by using the Minimum Description Length Principle (MDL). Experiments have shown that such a discretization strategy is more tolerant to noise, and ...
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Why do we need econometrics?

... Regression with STATA • Only now one should start thinking  – Maybe there is something about groups of countries we should look at more in detail? – How about North/South division? – We have a variable for lattitude, right?  • gen south=0 • replace south=1 if lat<0 • sum south • tab south – bysor ...
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THE UNIT ROOT TEST & TESTS OF STATIONARITY
THE UNIT ROOT TEST & TESTS OF STATIONARITY

... where ut is a white noise error term. We know that if ρ = 1, that is, in the case of the unit root, (21.4.1) becomes a random walk model without drift, which we know is a nonstationary stochastic process. Therefore, why not simply regress Yt on its (one period) lagged value Yt−1 and find out if the ...
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Mathematical Models of Solute Retention in Gas Chromatography
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... (including thermodynamic) data is possible only when strict and repeatable measurement conditions are used, because these secure the high precision of the retention measurements. These data can then be compared with results obtained by the use of other, independent, techniques; satisfactory agreemen ...
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Data assimilation

Data assimilation is the process by which observations are incorporated into a computer model of a real system. Applications of data assimilation arise in many fields of geosciences, perhaps most importantly in weather forecasting and hydrology. The most commonly used form of data assimilation proceeds by analysis cycles. In each analysis cycle, observations of the current (and possibly past) state of a system are combined with the results from a numerical model (the forecast) to produce an analysis, which is considered as 'the best' estimate of the current state of the system. This is called the analysis step. Essentially, the analysis step tries to balance the uncertainty in the data and in the forecast. The result may be the best estimate of the physical system, but it may not the best estimate of the model's incomplete representation of that system, so some filtering may be required. The model is then advanced in time and its result becomes the forecast in the next analysis cycle. As an alternative to analysis cycles, data assimilation can proceed by some sort of nudging process, where the model equations themselves are modified to add terms that continuously push the model towards observations.
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