A kullback's symmetric divergence criterion with application to linear regression and time series model

Currently, the export regime of a catchment is often characterized by the relationship between compound concentration and discharge in the catchment outlet or, more specifically, by the regression slope in log-concentrations versus log-discharge plots. However, the scattered points in these plots usually do not follow a plain linear regression representation because of different processes (e.g., hysteresis effects). This work proposes a simple stochastic time-series model for simulating compound concentrations in a river based on river discharge. Our model has an explicit transition parameter that can morph the model between chemostatic behavior and chemodynamic behavior. As opposed to the typically used linear regression approach, our model has an additional parameter to account for hysteresis by including correlation over time. We demonstrate the advantages of our model using a high-frequency data series of nitrate concentrations collected with in situ analyzers in a catchment in Germany. Furthermore, we identify event-based optimal scheduling rules for sampling strategies. Overall, our results show that (i) our model is much more robust for estimating the export regime than the usually used regression approach, and (ii) sampling strategies based on extreme events (including both high and low discharge rates) are key to reducing the prediction uncertainty of the catchment behavior. Thus, the results of this study can help characterize the export regime of a catchment and manage water pollution in rivers at lower monitoring costs.

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Load Forecasting using Linear Regression Analysis in Time series model for RGUKT, R.K. Valley Campus HT Feeder

International Journal of Engineering Research and ◽

10.17577/ijertv6is050443 ◽

2017 ◽

Vol V6 (05) ◽

Cited By ~ 1

Author(s):

M. Dinesh Reddy ◽

N. Vishali ◽

Keyword(s):

Time Series ◽

Regression Analysis ◽

Linear Regression ◽

Linear Regression Analysis ◽

Load Forecasting ◽

Time Series Model

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THE COMPARISON OF TWO PRECIPITATION PREDICTION METHODS

ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences ◽

10.5194/isprs-archives-xlii-3-w10-1025-2020 ◽

2020 ◽

Vol XLII-3/W10 ◽

pp. 1025-1032

Author(s):

X. Q. Mo ◽

G. W. Lan ◽

Y. L. Du ◽

Z. X. Chen

Keyword(s):

Time Series ◽

Regression Analysis ◽

Linear Regression ◽

Time Series Analysis ◽

Daily Precipitation ◽

Linear Regression Analysis ◽

Time Series Model ◽

Residual Error ◽

Actual Situation ◽

Monthly Average

Abstract. Precipitation forecasts play the role in flood control and drought relief. At present, the time series analysis and the linear regression analysis are two of most commonly used methods. The time series analysis is relatively simple as it only requires historical precipitation data. The model of the linear regression analysis can ensure high accuracy for causality analysis and short, medium and long-term prediction. Guilin is the region of the heavy rain center in Guangxi, which frequently suffers serious losses from rainstorms. Selecting a better model to predict precipitation has the important reference significance for improving the accuracy of precipitation weather forecast. In this research, the two methods are used to predict precipitation in Guilin. According to data of the monthly maximum precipitation, monthly average daily precipitation and monthly total precipitation from 2014 to 2016, this paper establishes the time series model and linear regression analysis model to predict precipitation in 2017 and compare the forecast results. The results show that the monthly average daily precipitation model is best with the accuracy of the time series model, and the residual error of predicted precipitation is 3.08 mm, but the change trend of predicted precipitation is not accord with the actual situation. The residual error is only 0.45 mm through using inter-annual linear regression equation to predict the precipitation, but the predicted summer precipitation is quite different from the actual one. The linear equation established by different seasons is used to predict the precipitation with residual error of 3.25 mm, and it is coincident for the predicted precipitation trend with the actual situation. Furthermore, the predictions fitting errors of spring, summer, autumn and winter are all less than 20%, which are within the scope of the specification prediction error.

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Analysis of psychometric data using statistical and machine learning methods

10.32920/ryerson.14665509 ◽

2021 ◽

Author(s):

Krishnapriya Subramanian

Keyword(s):

Machine Learning ◽

Time Series ◽

Linear Regression ◽

Well Being ◽

Time Series Model ◽

Learning Methods ◽

Logistics Regression ◽

Machine Learning Methods ◽

Psychometric Data ◽

Simulation Results

The objective of this thesis is to analyse the psychometric data using statistical and machine learning methods. Psychological data are analysed to predict illness and injury of athletes. Regression technique, one of the statistical processes for estimating the relationship among variables is used as basis of this thesis. We apply the linear regression, time series and logistics regression to predict illness and well-being. Our linear regression simulation results are mainly used, to understand the data well. By reviewing the results of linear regression, time series model is developed which predicts sickness one day ahead. The predicted values of this time series model are continuous. However, logistic regression can be used, to provide a probabilistic approach to predict the future levels as a categorical value. Hence we have developed a binomial logistics regression model, when observation variable is the type of dichotomous. Our simulation results show that this prediction model performs well. Our empirical studies also show that our method can act as early warning system for athletes.

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Analysis of psychometric data using statistical and machine learning methods

10.32920/ryerson.14665509.v1 ◽

2021 ◽

Author(s):

Krishnapriya Subramanian

Keyword(s):

Machine Learning ◽

Time Series ◽

Linear Regression ◽

Well Being ◽

Time Series Model ◽

Learning Methods ◽

Logistics Regression ◽

Machine Learning Methods ◽

Psychometric Data ◽

Simulation Results

The objective of this thesis is to analyse the psychometric data using statistical and machine learning methods. Psychological data are analysed to predict illness and injury of athletes. Regression technique, one of the statistical processes for estimating the relationship among variables is used as basis of this thesis. We apply the linear regression, time series and logistics regression to predict illness and well-being. Our linear regression simulation results are mainly used, to understand the data well. By reviewing the results of linear regression, time series model is developed which predicts sickness one day ahead. The predicted values of this time series model are continuous. However, logistic regression can be used, to provide a probabilistic approach to predict the future levels as a categorical value. Hence we have developed a binomial logistics regression model, when observation variable is the type of dichotomous. Our simulation results show that this prediction model performs well. Our empirical studies also show that our method can act as early warning system for athletes.

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