Colloid aggregation: numerical solution and measurements ...

The parameter estimation shown in Fig. 9, however, indicates a collision efficiency of only 2×10 −4, despite the fact that this was close to the most rapid aggregation observable under quiescent conditions. Table 2 shows values of collision efficiency estimated by other researchers under various conditions.

(PDF) Optimal Parameter Estimation of Conceptually-Based ...

Model identification and parameter estimation are supported by information related to the aggregated runoff process, in agreement to the conceptual framework proposed, and this allows parameter ...

THE EFFECT OF SMOOTHING PARAMETER IN KERNELS …

Smoothing Parameter Selection in Kernel Aggregation Appropriate selection of the smoothing parameter is often critical to the process of kernel aggregation in kernel density estimation because its performance is based on its right selection. The quality of the estimates in Equation (4) and Equation (6) is measured by the

Trade, Gravity and Aggregation

extent micro-level parameters can be recovered from gravity regressions estimated with aggregate data. We show that estimation of gravity equations in their original multiplicative form via Poisson pseudo maximum likelihood (PPML) is more ro-bust to aggregation than estimation of log-linearized gravity equations via ordinary least squares (OLS).

Chapter 1 Introduction to Econometrics

Sometimes the aggregation is related to spatial issues. For example, the population of towns, countries, or the production in a city or region etc.. Such sources of aggregation introduce "aggregation bias" in the estimates of the coefficients. It is important to examine the possibility of such errors before estimating the model.

Phase-Wise Parameter Aggregation for Improving SGD ...

ours that operate on the optimization process itself during training. In [27], the aggregation weights are adaptively learned, though requiring k-times extra-memory to store k multiple model parameters. Toward faster convergence, the Lookahead method [36] efficiently applies model aggrega-tion every k updates by means of moving average which

Chapter 4 Parameter Estimation

English parameter q differs from π), because it ignores the data completely. Consistency is nearly always a desirable property for a statistical estimator. 4.2.2 Bias If we view the collection (or sampling) of data from which to estimate a population pa-rameter as a stochastic process, then the parameter estimate θˆ η resulting from applying a

Model aggregation: a building-block approach to creating ...

The parameter estimation problem is now to ensure that the aggregated model is consistent with the original data used to validate the submodels (for which we already have good initial guesses, inherited from the submodels) and also the new data relevant to the interactions of the subsystems (which are governed by the new parameters describing ...

Aggregated estimating equation estimation

parameter in general. The EE estimator βˆ N of β 0 is defined as the solution to the estimating equation N i=1 ψ(z i,β)= 0.Inregressionanalysis,wehavez i =(y i,xT i)withresponse variable y and predictor x and the score function is usually given as ψ(z,β)=φ(y−xTβ)x for some function φ.When φ is the identify function, the estimating ...

Optimal Parameter Estimation of Conceptually-Based ...

12%Using these models, the possible benefits of data aggregation with regards to parameter estimation are investigated by means of a simulation study. The application made with reference to the ARMA(1,1) model shows advantageous effects of data aggregation, while the same benefits are not found for estimation of the conceptual parameters with the ...

Aggregation of Space-Time Processes

Aggregation of Space-Time Processes ... factors will dominate the process for the aggregate, even though they might be relatively unimportant at the individual level. It follows that there might be a bene fitinforecasting ... realistic setting where parameter estimation uncertainty is present. Section 5 …

Aggregation of AR(2) Processes

how parameters of a distribution of the random coefficients can be estimated and examples for possible distributions are given. Keywords: random coefficient AR(2), least square, aggregation, parameter estimation, central limit theorem 1

(PDF) Schelling's Segregation Model: Parameters, Scaling ...

Values of v larger than 33% correspond to unrealistic environments. For each pair of parameters T and v, we perform 100 simulations. This number of simulations was chosen to ensure a 95% confidence interval for parameter estimation. The Central Limit Theorem provides confidence intervals for the mean values of the aggregation measures.

(PDF) On Decomposition and Aggregation Error in Estimation ...

We note that the discrepancies observed be- ment failure probability was computed first (by multi- tween different aggregation orders are not merely an ar- plying that expert's estimates of the three subevent tifact resulting from the use of ad hoc aggregation probabilities), and the resulting containment failure techniques, such as ...

Robust epidemic aggregation under churn

sponding to the aggregation function count, is chosen to study the aggregation process. In distributed systems, the correct estimation of the size is an essential task since it can be used for many other purposes e.g. asses-sing resource availability [8], parameter setting and network monitoring [4]. The protocol in [9] requires size

Retrieval of process rate parameters in the general ...

Retrieval of process rate parameters in the general dynamic equation for aerosols using Bayesian state estimation Matthew Ozon 1, Aku Seppänen 1, Jari P. Kaipio 1,3, and Kari E.J. Lehtinen 1,2 1 Department of Applied Physics, University of Eastern Finland, Kuopio, Finland 2 Finnish Meteorological Institute, Kuopio, Finland 3 Department of Mathematics, Faculty of Science, University of ...

A000234 aggregation (econometrics)

A000234 aggregation (econometrics) The econometrics of aggregation is about modelling the relationship between individual (micro) behaviour and aggregate (macro) statistics, so that data from both levels can be used for estimation and inference about economic parameters. Practical models must address three types of individual heter-

Learning deep convolutional descriptor aggregation for ...

Then the parameters are remaining unchanged for the subsequent tracking process. Detailed settings for the regression parameters are provided in Sect. 4.1. Feature aggregation In the initialization phase, the network is fine-tuned by a one-shot regression process proposed in Sect. 3.3. And different feature aggregations are performed for ...

4.4.3. How are estimates of the unknown parameters obtained?

Parameter Estimation in General. After selecting the basic form of the functional part of the model, the next step in the model-building process is estimation of the unknown parameters in the function. In general, this is accomplished by solving an optimization problem in which the objective function (the function being minimized or maximized ...

Aggregation Among Binary, Count, and Duration Models ...

To deal with aggregation bias appropriately in these models, two steps are necessary. First should come models, such as those provided in this paper, which at least under certain specific assumptions are able to estimate the same parameters no matter what level of analysis or type of …

Measurement aggregation and routing techniques for energy ...

Each sensor controls its measurement rate and aggregation weights, and aggregated measurement data are routed to the FC for Maximum Likelihood (ML) estimation. The challenge is to find an optimal compromise between eliminating data redundancy and maintaining data representation accuracy so as to adhere to estimation quality constraints and ...

Modeling and Parameter Estimation of Interpenetrating ...

Modeling and Parameter Estimation of Interpenetrating Polymer Network ProcessPolymer Network Process EWO Spring Meeting March, 2009 Weijie Lin Advisors: Lorenz T. Biegler, Annette Jacobson Department of Chemical Engineering, C i M ll U i it Pitt b h PA 15213Carnegie Mellon University, Pittsburgh, PA 15213

AGGREGATION BIAS IN MAXIMUM LIKELIHOOD ESTIMATION …

aggregation size increases [see for example Chapter 5 of Arbia, 1989]. However, the present situation is quite different, and appears to be more a consequence of the variance minimizing tendency of maximum likelihood estimation which, in the presence of aggregation, tends to …

(PDF) The Effects of Time Aggregation on the AR(1) Process

This paper considers the effect of temporal aggregation on parameter estimation in a finite distributed lag model through the least squares procedure. Numerical results are presented through a ...

(PDF) Log-Normal continuous cascades: aggregation ...

finally illustrate how both our results on parameter estimation and on aggregation ... This approximation framework allows us to de velop a method to estimate the process parameters. In …

Kinetics of protein aggregation. Quantitative estimation ...

The model of protein refolding explaining such a kinetic regularity has been proposed. When aggregation of protein substrate follows first order kinetics, parameters A(lim) and kI may be used for the quantitative characterization of the chaperone-like activity in the test-systems based on suppression of protein aggregation.

Parameter Estimation - MATLAB & Simulink

Estimate parameters and states of a Simulink ® model using measured data in the Parameter Estimator, or at the command line.You can estimate and validate multiple model parameters at the same time, using multi-experiment data, and can specify bounds for the parameters.

[0804.0185] Log-Normal continuous cascades: aggregation ...

This allows us to prove that the probability distributions associated with these processes possess some very simple aggregation properties accross time scales. Such a control of the process properties at different time scales, allows us to address the problem of parameter estimation.

ACP - Rapid ice aggregation process revealed through ...

The aggregation efficiency of ice particles (E agg; the probability that two particles experiencing a "close approach" will collide and stick together) is typically low, although a large range of values has been reported and understanding of how aggregation efficiency varies …

APPROXIMATION AND PARAMETER ESTIMATION PROBLEMS …

APPROXIMATION AND PARAMETER ESTIMATION PROBLEMS FOR ALGAL AGGREGATION MODELS ... . : Aggregation processes are intrinsic to many biological phenomena including sedimentation and coagulation of algae during bloom periods. A fundamental but unresolved problem associated with aggregate processes is the determination of the ...