Time-series data optimized AR/ARMA model for frugal spectrum estimation in Cognitive Radio

Chakraborty, Debashis; Sanyal, Sugata

doi:10.1016/j.phycom.2020.101252

Cited by 13 publications

(4 citation statements)

References 42 publications

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“…and AD hypothesis test is to treat "measurement" as "process", emphasizing that not only the final statistical analysis of data, but the principles proposed in this paper should be fully applied at the beginning of data collection, for statistical assessment and improvement of expected agreement between two systems. We insist on this view that only by accepting the AD null hypothesis (Chakraborty et al, 2021;Julliard Ralihalizara and Jules Harris Danarson, 2020;Lorentz Jantschi and Sorana D.Bolboaca, 2018), can the ( ) ' R Y X s cover the time variations involving small bias and interactions to the maximum extent, and can the DQO of COD system correctly present in the whole interval (Palma et al, 2019;Raul Rigo-Bonnin et al, 2018;Pei Huang et al, 2018).…”

Section: Statistics Of Residuals On Risk Controlmentioning

confidence: 99%

Optimization validation of online system for COD variation measurement in wastewater at levels of parallel matrixes designed through bias correction by Deming regression under AD hypothesis test

Douwen

2023

Preprint

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Chemical oxygen demand (COD), with its unique socio-economic structure and conditions in regional wastewater of Dalian, China, can bring about the long-term potential harm impacts to ecosystems and human health. As the key indicators of total sewage discharge control and the must-measure item for routine testing in China, COD test is basically completed by the online system (as X-method). However, X-method belongs to the domains of non-standard, and the validity of its reported results deserves attention. The background effect treatment has been debated when dealing with the accuracy of COD test, and the usual practice is referred to the matrixes spikes at multiple levels. However, we hold the opinion that COD of the actual extraction efficiency (naturally existing matrix matched), is out of the question while measuring for unstable samples greatly fluctuated in wastewater, with its instantaneous effluent and temporal and spatial characteristics, and cannot be repeated and predicted. Instead, we decided to use regression to solve this problem. We may assess the methodology of leverage (hi) and Cook’s distance (Di) to identify influential observation prior to model transformation for ordinary least squares (OLS) fitting, in which, the random parallel samples designed, within each level consistent differing by ≤ 10%, is deployed to establish the bias correction reasoning between X-method and the arbitration, referee or primary system (as Y-method). As OLS fitting is, yielding biased and inefficient estimates, not suitable for uncertainties existed in both regressed variables, instead, we use a knowledge-based Deming regression (DR) to optimally monitor and validate the validity of X-method system. In this paper, we give the detailed fitting process of DR technique with its weighted iteration accounted for measurement error in both methods. To ensure the residuals, in chronological order, deduced from the bias correction function, under independence identical distribution (i.i.d) condition, we strongly advocate a more robust Anderson Darling (AD) hypothesis test for validation of X-method. If the AD null hypothesis is held, we further hold the opinion that X-method is, under the site precision (sR'), reliable for its COD determination in wastewater. Meanwhile, the sR' is more appropriate to maximally incorporate all cumulative effects, even with the annoying interaction, into the data quality objective (DQO) of the COD system over an entire range levels range, and minimize the intractable problem caused by matrix effect. Our motive is to compare the COD variation measurement from real-time online system, across all matrices, with the results obtained historically or subsequently, to meet client’s needs in a way that allows the operation of the COD system from X-method in consistency, in impartial, in competency, and to assist management decision making.

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Section: Statistics Of Residuals On Risk Controlmentioning

confidence: 99%

Optimization validation of online system for COD variation measurement in wastewater at levels of parallel matrixes designed through bias correction by Deming regression under AD hypothesis test

Douwen

2023

Preprint

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“…where 𝜎𝜎 is sigmoid function, 𝑊𝑊 𝑓𝑓 is weight value for forget gate, ℎ 𝑡𝑡−1 is output value before order 𝑡𝑡, 𝑥𝑥 𝑡𝑡 is input value on the order 𝑡𝑡, and 𝑏𝑏 𝑓𝑓 is bias value on forget gate. The value of weight is explained in formula (6).…”

Section: Lstmmentioning

confidence: 99%

The mortality modeling of covid-19 patients using a combined time series model and evolutionary algorithm

Tahyudin

Wahyudi

Maulana

et al. 2022

Int. J. Adv. Intell. Informatics

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COVID-19 pandemics for as long as two years ago since 2019 gives many insights into various aspects, including scientific development. One of them is the fundamental research of computer science. This research aimed to construct the best model of COVID-19 patients’ mortality and obtain less prediction errors. We performed the combination methods of time series, SARIMA, and Evolutionary algorithm, PARCD, to predict male patients who died because of COVID-19 in the USA, containing 1.008 data. So, this research proposed that SARIMA-PARCD has a powerful combination for addressing the complex problem in a dataset. The prediction error of SARIMA-PARCD was compared with other methods, i.e., SARIMA, LSTM, and the combination of SARIMA-LSTM. The result showed that the SARIMA-PARCD has the smallest MSE value of 0.0049. Therefore, the proposed method is competitive to implement in other cases with similar characteristics. This combination is robust for solving linear and non-linear problems.

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“…We also recommend that this i.i.d condition be determined by the AD hypothesis test. Only by accepting the AD null hypothesis (Chakraborty et al, 2021;Julliard Ralihalizara & Jules Harris Danarson. 2020;Lorentz Jantschi & Sorana D.Bolboaca.…”

Section: Introductionmentioning

confidence: 99%

Optimization of online system for COD measurement in water pollution through bias correction and uncertainty evaluation over an entire range of materials

Douwen,

Zhijing

2023

Preprint

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Chemical oxygen demand (COD) is an item of water pollutant that must be measured by the State. When undertaking COD measurement tasks, compared with the reference operation (as the Y-method) in the laboratory, the online system (as X-method), a process stream analyzer of automatic monitoring in the domestic field, is much superior. However, we believe that X-method is a non-standard system, and its measurement reliability deserves attention. In this paper under top-down measurement condition, we propose to use the variable error fitting of Deming regression, establish a bias correction function between the two methods, based on the matrix sample size at different levels by our power curve estimate in chronological order, and carry out a more rigorous check on the reliability of X-method. To ensure that the residuals derived from the bias correction function is in an independence and identical distribution (i.i.d) condition, we strongly recommend a more rigorous and robust Anderson Darling (AD) hypothesis test technique for confirmation. If the AD null hypothesis is held, we can believe that the reliability of X-method is validated, and incorporate all cumulative effects, with the minimized complex correlation, brought in the bias correction function fitting process, into the uncertainty estimate over an entire range. The practices we advocate in this paper are very helpful in raising the quality level of the online system.

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Time-series data optimized AR/ARMA model for frugal spectrum estimation in Cognitive Radio

Cited by 13 publications

References 42 publications

Optimization validation of online system for COD variation measurement in wastewater at levels of parallel matrixes designed through bias correction by Deming regression under AD hypothesis test

Optimization validation of online system for COD variation measurement in wastewater at levels of parallel matrixes designed through bias correction by Deming regression under AD hypothesis test

The mortality modeling of covid-19 patients using a combined time series model and evolutionary algorithm

Optimization of online system for COD measurement in water pollution through bias correction and uncertainty evaluation over an entire range of materials

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