Recovering Decay Rates from Noisy Measurements with Maximum Entropy in the Mean

Journal of Probability and Statistics ◽

10.1155/2009/563281 ◽

2009 ◽

Vol 2009 ◽

pp. 1-13 ◽

Cited By ~ 1

Author(s):

Henryk Gzyl ◽

Enrique Ter Horst

Keyword(s):

Maximum Likelihood ◽

Decay Rate ◽

Maximum Entropy ◽

Standard Method ◽

Simulated Data ◽

Decay Rates ◽

Parametric Estimation ◽

Large Level ◽

The Mean ◽

Noisy Measurements

We present a new method, based on the method of maximum entropy in the mean, which builds upon the standard method of maximum entropy, to improve the parametric estimation of a decay rate when the measurements are corrupted by large level of noise and, more importantly, when the number of measurements is small. The method is developed in the context on a concrete example: that of estimation of the parameter in an exponential distribution. We show how to obtain an estimator with the noise filtered out, and using simulated data, we compare the performance of our method with the Bayesian and maximum likelihood approaches.

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SET-VALUED PERFORMANCE APPROXIMATIONS FOR THE QUEUE GIVEN PARTIAL INFORMATION

Probability in the Engineering and Informational Sciences ◽

10.1017/s0269964820000509 ◽

2020 ◽

pp. 1-23

Author(s):

Yan Chen ◽

Ward Whitt

Keyword(s):

Steady State ◽

Decay Rate ◽

Waiting Time ◽

Partial Information ◽

Upper And Lower Bounds ◽

Interarrival Time ◽

Limited Information ◽

Wide Range ◽

The Mean ◽

Third Moment

In order to understand queueing performance given only partial information about the model, we propose determining intervals of likely values of performance measures given that limited information. We illustrate this approach for the mean steady-state waiting time in the $GI/GI/K$ queue. We start by specifying the first two moments of the interarrival-time and service-time distributions, and then consider additional information about these underlying distributions, in particular, a third moment and a Laplace transform value. As a theoretical basis, we apply extremal models yielding tight upper and lower bounds on the asymptotic decay rate of the steady-state waiting-time tail probability. We illustrate by constructing the theoretically justified intervals of values for the decay rate and the associated heuristically determined interval of values for the mean waiting times. Without extra information, the extremal models involve two-point distributions, which yield a wide range for the mean. Adding constraints on the third moment and a transform value produces three-point extremal distributions, which significantly reduce the range, producing practical levels of accuracy.

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Distance variable improvement of time-series big data stream evaluation

Journal Of Big Data ◽

10.1186/s40537-020-00359-w ◽

2020 ◽

Vol 7 (1) ◽

Author(s):

Ari Wibisono ◽

Petrus Mursanto ◽

Jihan Adibah ◽

Wendy D. W. T. Bayu ◽

May Iffah Rizki ◽

...

Keyword(s):

Time Series ◽

Standard Deviation ◽

Standard Method ◽

Time Series Data ◽

Series Data ◽

Percentage Error ◽

Traffic Demand ◽

Incremental Model ◽

Chernoff Bound ◽

The Mean

Abstract Real-time information mining of a big dataset consisting of time series data is a very challenging task. For this purpose, we propose using the mean distance and the standard deviation to enhance the accuracy of the existing fast incremental model tree with the drift detection (FIMT-DD) algorithm. The standard FIMT-DD algorithm uses the Hoeffding bound as its splitting criterion. We propose the further use of the mean distance and standard deviation, which are used to split a tree more accurately than the standard method. We verify our proposed method using the large Traffic Demand Dataset, which consists of 4,000,000 instances; Tennet’s big wind power plant dataset, which consists of 435,268 instances; and a road weather dataset, which consists of 30,000,000 instances. The results show that our proposed FIMT-DD algorithm improves the accuracy compared to the standard method and Chernoff bound approach. The measured errors demonstrate that our approach results in a lower Mean Absolute Percentage Error (MAPE) in every stage of learning by approximately 2.49% compared with the Chernoff Bound method and 19.65% compared with the standard method.

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The influence of the singlet radical-pair decay rate on RYDMR and SNP spectra, and the mean RP lifetime

Chemical Physics Letters ◽

10.1016/0009-2614(90)85565-t ◽

1990 ◽

Vol 175 (5) ◽

pp. 467-471 ◽

Cited By ~ 24

Author(s):

I.V. Koptyug ◽

N.N. Lukzen ◽

E.G. Bagryanskaya ◽

A.B. Doctorov

Keyword(s):

Decay Rate ◽

Radical Pair ◽

The Mean

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Maximum likelihood estimation of the mean of a normal random variable when the sample is grouped

Scandinavian Actuarial Journal ◽

10.1080/03461238.1958.10405976 ◽

1958 ◽

Vol 1958 (1-2) ◽

pp. 1-17 ◽

Cited By ~ 1

Author(s):

Gunnar Kulldorff

Keyword(s):

Maximum Likelihood ◽

Maximum Likelihood Estimation ◽

Likelihood Estimation ◽

Random Variable ◽

Normal Random Variable ◽

The Mean

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On the interpretation of annual oscillations in 32Si and 36Cl decay rate measurements

Scientific Reports ◽

10.1038/s41598-021-95600-8 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

S. Pommé ◽

K. Pelczar ◽

K. Kossert ◽

I. Kajan

Keyword(s):

Decay Rate ◽

Solar Neutrino ◽

National Laboratory ◽

Neutrino Flux ◽

Measurement Data ◽

Brookhaven National Laboratory ◽

Decay Rates ◽

Dew Point ◽

Annual Variations ◽

Set Up

AbstractThe 32Si decay rate measurement data of Alburger et al. obtained in 1982–1986 at Brookhaven National Laboratory have been presented repeatedly as evidence for solar neutrino-induced beta decay. The count rates show an annual sinusoidal oscillation of about 0.1% amplitude and maximum at February–March. Several authors have claimed that the annual oscillations could not be explained by environmental influences on the set-up, and they questioned the invariability of the decay constant. They hypothesised a correlation with changes in the solar neutrino flux due to annual variations in the Earth-Sun distance, in spite of an obvious mismatch in amplitude and phase. In this work, environmental conditions at the time of the experiment are presented. The 32Si decay rate measurements appear to be inversely correlated with the dew point in a nearby weather station. Susceptibility of the detection set-up to local temperature and humidity conditions is a likely cause of the observed instabilities in the measured decay rates. Similar conclusions apply to 36Cl decay rates measured at Ohio State University in 2005–2012.

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On the optimality of optical pumping for a closed Λ-system with large decay rates of the intermediate excited state

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/ac43cb ◽

2021 ◽

Author(s):

Dionisis Stefanatos ◽

Emmanuel Paspalakis

Keyword(s):

Optimal Control ◽

Excited State ◽

Decay Rate ◽

Optimal Control Theory ◽

Optical Pumping ◽

Quantum Information Processing ◽

Decay Rates ◽

Population Transfer ◽

Initial State ◽

Weakly Coupled

Abstract We use optimal control theory to show that for a closed Λ-system where the excited intermediate level decays to the lower levels with a common large rate, the optimal scheme for population transfer between the lower levels is actually optical pumping. In order to obtain this result we exploit the large decay rate to eliminate adiabatically the weakly coupled excited state, then perform a transformation to the basis comprised of the dark and bright states, and finally apply optimal control to this transformed system. Subsequently, we confirm the optimality of the optical pumping scheme for the original closed Λ-system using numerical optimal control. We also demonstrate numerically that optical pumping remains optimal when the decay rate to the target state is larger than that to the initial state or the two rates are not very different from each other. The present work is expected to find application in various tasks of quantum information processing, where such systems are encountered

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Utilizarea teoriei valorilor extreme în climatologie

Starea actuală a componentelor de mediu ◽

10.53380/9789975315593.17 ◽

2019 ◽

Author(s):

Valentin Raileanu ◽

Keyword(s):

Maximum Likelihood ◽

Extreme Values ◽

Probability Distributions ◽

Simulated Data ◽

Likelihood Estimation ◽

R Software ◽

Data Set ◽

Data Format ◽

Generalized Pareto ◽

Distribution Parameters

The article briefly describes the history and fields of application of the theory of extreme values, including climatology. The data format, the Generalized Extreme Value (GEV) probability distributions with Bock Maxima, the Generalized Pareto (GP) distributions with Point of Threshold (POT) and the analysis methods are presented. Estimating the distribution parameters is done using the Maximum Likelihood Estimation (MLE) method. Free R software installation, the minimum set of required commands and the GUI in2extRemes graphical package are described. As an example, the results of the GEV analysis of a simulated data set in in2extRemes are presented.

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Decay of Fecal Indicator Bacterial Populations and Bovine-Associated Source-Tracking Markers in Freshly Deposited Cow Pats

Applied and Environmental Microbiology ◽

10.1128/aem.02203-13 ◽

2013 ◽

Vol 80 (1) ◽

pp. 110-118 ◽

Cited By ~ 29

Author(s):

Adelumola Oladeinde ◽

Thomas Bohrmann ◽

Kelvin Wong ◽

S. T. Purucker ◽

Ken Bradshaw ◽

...

Keyword(s):

Decay Rate ◽

Fecal Indicator Bacteria ◽

Decay Rates ◽

Indicator Bacteria ◽

Source Tracking ◽

Fecal Indicator ◽

Bacterial Populations ◽

Content Type ◽

E Coli ◽

Decay Dynamic

ABSTRACTUnderstanding the survival of fecal indicator bacteria (FIB) and microbial source-tracking (MST) markers is critical to developing pathogen fate and transport models. Although pathogen survival in water microcosms and manure-amended soils is well documented, little is known about their survival in intact cow pats deposited on pastures. We conducted a study to determine decay rates of fecal indicator bacteria (Escherichia coliand enterococci) and bovine-associated MST markers (CowM3, Rum-2-bac, and GenBac) in 18 freshly deposited cattle feces from three farms in northern Georgia. Samples were randomly assigned to shaded or unshaded treatment in order to determine the effects of sunlight, moisture, and temperature on decay rates. A general linear model (GLM) framework was used to determine decay rates. Shading significantly decreased the decay rate of theE. colipopulation (P< 0.0001), with a rate of −0.176 day−1for the shaded treatment and −0.297 day−1for the unshaded treatment. Shading had no significant effect on decay rates of enterococci, CowM3, Rum-2-bac, and GenBac (P> 0.05). In addition,E. colipopulations showed a significant growth rate (0.881 day−1) in the unshaded samples during the first 5 days after deposition. UV-B was the most important parameter explaining the decay rate ofE. colipopulations. A comparison of the decay behaviors among all markers indicated that enterococcus concentrations exhibit a better correlation with the MST markers thanE. coliconcentrations. Our results indicate that bovine-associated MST markers can survive in cow pats for at least 1 month after excretion, and although their decay dynamic differs from the decay dynamic ofE. colipopulations, they seem to be reliable markers to use in combination with enterococci to monitor fecal pollution from pasture lands.

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