Analyzing Environmental Data

Piegorsch, Walter W.; Bailer, A. John

doi:10.1002/0470012234

Cited by 110 publications

(106 citation statements)

References 5 publications

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“…These capture-recapture methods are strongly connected to the estimation of population totals through sampling of finite populations [18] where S individuals are characterized by some weights yi from which it is possible to define the population total τ := S i=1 yi. A classical estimation approach within this framework is then to select k individuals from the whole set under the assumption that the selection probabilities are pi, and then use the so-called Hansen-Hurwitz estimator [19] …”

Section: A Literature Reviewmentioning

confidence: 99%

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Distributed Cardinality Estimation in Anonymous Networks

Varagnolo

Pillonetto

Schenato

2014

IEEE Trans. Automat. Contr.

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Abstract-We consider estimation of network cardinality by distributed anonymous strategies relying on statistical inference methods. In particular, we focus on the relative Mean Square Error (MSE) of Maximum Likelihood (ML) estimators based on either the maximum or the average of M -dimensional vectors randomly generated at each node. In the case of continuous probability distributions, we show that the relative MSE achieved by the max-based strategy decreases as 1/M , independently of the used distribution, while that of the average-based estimator scales approximately as 2/M . We then introduce a novel strategy based on the average of M -dimensional vectors locally generated from Bernoulli random variables. In this case, the ML estimator, which is the Least Common Multiple (LCM) of the denominators of the irreducible fractions corresponding to the M elements of the average vector, leads to an MSE which goes exponentially to zero as M increases. We then discuss the effects of finite precision arithmetics in practical dynamic implementations. Numerical experiments reveal that the MSE of the strategy based on Bernoulli trials is two order of magnitude smaller than that based on continuous random variables, at a price of one order of magnitude slower convergence time.

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Section: A Literature Reviewmentioning

confidence: 99%

“…Without assumption 10, this map is defined over the positive rational numbers in [0, 1], i.e., f ave ∈ Q+ ∩ [0, 1]. Under assumption 10, S is defined over the set FS max defined in (19).…”

Section: B Bernoulli Trials: M =mentioning

confidence: 99%

Distributed Cardinality Estimation in Anonymous Networks

Varagnolo

Pillonetto

Schenato

2014

IEEE Trans. Automat. Contr.

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“…It should be noted that in the case of the linear model the derivatives are not functions of the β's (Piegorsch & Bailer 2005). The nonlinear regression model should be used when a curvilinear relationship exists between the mean response and a predictor variable.…”

Section: Methodsmentioning

confidence: 99%

Modelling for Determination of Fe Uptake by Brassica chinensis Jusl var. parachinensis (Bailey) Tsen & Lee (Flowering White Cabbage)

Mahir¹,

Arfah

Rozaimah

et al. 2017

JSM

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“…Table 1 shows the best selected models for all yarding systems. All of the models resulted in polynomial fits (Quadratic,3 rd and 4 th degree equations), except for Cable (precipitation and runoff) and Animal (precipitation and runoff) the best fit resulted for the Morgan Mercer Flodin model (MMF model), which is a flexible sigmoid used to describe growth processes or other processes with non linear structure (Piegorsch and Bailer 2005). Higher correlation coefficients were for Cable yarding for both correlations: precipitation and sediment production and precipitation and runoff volume (0.91 and 0.87, respectively).…”

Section: Overall Comparison Of Runoff and Sediment Yield Among Treatmmentioning

confidence: 99%

Evaluation of the surface erosion from different timber yarding methods in Honduras

2010

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-Surface runoff and sediment production from different timber yarding practices, some using Best Management Practices (BMPs) recommended for Honduras, were monitored in experimental plots during the rainy seasons of two consecutive years in pine forest highlands of central Honduras. Different timber yarding systems were applied to pseudo-replicated plots during the rainy seasons of 1999 and 2000. In 1999, two treatments were studied: tractor yarding and skyline cable (a recommended BMP). In 2000, four treatments were evaluated: tractor skidding, skyline cable, animal skidding (another recommended BMP), and undisturbed forest (reference). During the rainy seasons of these years, surface runoff volumes and sediment yield were measured at five 1.5m x 10m erosion plots in each treated area. The results showed significant differences between traditional tractor yarding and the recommended skyline cable and animal skidding methods. Tractor yarding produced six to ten times more erosion during the rainy seasons than cable and animal yarding. The improved soil retention of cable and animal yarding was especially important during September when the highest rainfall occurred in this climate.Keywords: BMP, Erosion and Timber yarding evaluation. AVALIAÇÃO DA EROSÃO SUPERFICIAL DE DIFERENTES MÉTODOS DO CARREGAMENTO DA MADEIRA EM HONDURAS Resumo -A produção do escorrimento de superfície e do sedimento das práticas diferentes do carregamento da madeira, algumas das melhores práticas de gestão de utilização (BMPs) recomendadas para Honduras, foi monitorada em lotes experimentais durante as estações das chuvas de dois anos consecutivos em montanhas da Floresta do

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Analyzing Environmental Data

Cited by 110 publications

References 5 publications

Distributed Cardinality Estimation in Anonymous Networks

Distributed Cardinality Estimation in Anonymous Networks

Modelling for Determination of Fe Uptake by Brassica chinensis Jusl var. parachinensis (Bailey) Tsen & Lee (Flowering White Cabbage)

Evaluation of the surface erosion from different timber yarding methods in Honduras

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