least square estimator
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2021 ◽  
Vol 2021 ◽  
pp. 1-24
Author(s):  
Seyab Yasin ◽  
Sultan Salem ◽  
Hamdi Ayed ◽  
Shahid Kamal ◽  
Muhammad Suhail ◽  
...  

The methods of two-parameter ridge and ordinary ridge regression are very sensitive to the presence of the joint problem of multicollinearity and outliers in the y-direction. To overcome this problem, modified robust ridge M-estimators are proposed. The new estimators are then compared with the existing ones by means of extensive Monte Carlo simulations. According to mean squared error (MSE) criterion, the new estimators outperform the least square estimator, ridge regression estimator, and two-parameter ridge estimator in many considered scenarios. Two numerical examples are also presented to illustrate the simulation results.


CONVERTER ◽  
2021 ◽  
pp. 391-397
Author(s):  
Yunrong Li, Gang Li

Environmental protection has become a public concern as the economy grows, especially in developing countries. Previous studies have examined determinants of individual pro-environmental behaviors. Using data from a nationwide survey carried out in mainland China in 2013, we intend to estimate the effects of religious beliefs on individual pro-environmental behaviors. We employ a linear econometric model and apply an Ordinary Least Square estimator to estimate the model. We use five measures to represent pro-environmental behaviors and distinguish between plain and strong religious beliefs. Estimation results show that, in general, holding any religious belief has a significant impact on all types of pro-environmental behaviors. Moreover, strong religious beliefs have greater impacts on different types of pro-environmental behaviors. Policy implications of the paper could be that people with religious beliefs should not be the target of programs aiming at promoting individual pro-environmental behaviors.


Author(s):  
Anetha Mary Soman ◽  
R Nakkeeran ◽  
Shinu Mathew John

An integration of Spatial Modulation with Orthogonal Frequency Division Multiplexing (SM OFDM) is a recently evolved transmission technique. In practical scenarios, channel estimation is significant for detecting transmitted data coherently. Impulse response based interpolation technique that provides channel frequency response estimate with reduction in noise error is proposed for comb type pilot based channel estimation of SM OFDM system along with 1D interpolation techniques under frequency selective channel. This scheme focus on carrying out smoothing and estimation in time domain and transforming output back to the frequency domain. BER performance is investigated for Rayleigh channel employing COST 207 project model on two test urban environments (Typical and Bad) for 4 and 16 QAM SM OFDM systems. Results show that the Least Square estimator with DFT interpolation performs finer compared to all one dimensional interpolation methods with less computational complexity by employing FFT algorithms.


2021 ◽  
Vol 63 E ◽  
pp. 175-192
Author(s):  
Adriana TIRON-TUDOR ◽  
Cristina Alexandrina ȘTEFĂNESCU ◽  
Anamaria DAN

"Municipal bonds are widely issued by local municipalities as a feasible financial alternative to fund infrastructure projects. On the other side, from the investors’ perspective, bonds issued by municipalities have historically been a popular investment option due to often favorable tax treatment for investors as well as the issuer’s credibility and generally high credit quality of the market. The paper explores the factors that influence the size and interest rates of Romanian municipal bonds for a 20 years period starting from 2001, when the first issuance took place, to the present. The data collected were analyzed through multiple linear regressions using ordinary least square estimator. The results revealed that municipalities with large populations, higher levels of income and expenses, and longer maturity tended to issue more municipal bonds. On the other hand, the unemployment and inflation rates increased the interest rates. The regions, fund destinations, and political variables also influenced the levels of bonds issued as well as the interest rates. These findings illustrated the importance of the context at local and national level, expressed by different social, economic and political variables that local governments should consider when issuing municipal bonds. The study contributes to the development of knowledge in the area of issuer’s characteristics and, moreover, the political, economic, and financial setting influences on the municipal bond market in an emergent country from Eastern Europe, Romania."


Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1371
Author(s):  
Yaoting Yang ◽  
Weizhong Tian ◽  
Tingting Tong

A new generalization of the exponential distribution, namely the generalized mixture of exponential distribution, is introduced. Some of its basic properties, such as hazard function, moments, order statistics, mean deviation, measures of uncertainly, and reliability probability, are studied. Three different estimation methods are investigated by the maximum likelihood estimator, least-square estimator, and weighted least-square estimator. The performances of the estimators are assessed by simulation studies. Real-world applications of the proposed distribution are explored, and data fitting results show that the new distribution performs better than its competitors.


Energies ◽  
2021 ◽  
Vol 14 (12) ◽  
pp. 3390
Author(s):  
Ruipeng Guo ◽  
Lilan Dong ◽  
Hao Wu ◽  
Fangdi Hou ◽  
Chen Fang

Even with modern smart metering systems, erroneous measurements of the real and reactive power in the power system are unavoidable. Multiple erroneous parameters and measurements may occur simultaneously in the state estimation of a bulk power system. This paper proposes a gross error reduction index (GERI)-based method as an additional module for existing state estimators in order to identify multiple erroneous parameters and measurements simultaneously. The measurements are acquired from a supervisory control and data acquisition system and mainly include voltage amplitudes, branch current amplitudes, active power flow, and reactive power flow. This method uses a structure consisting of nested two loops. First, gross errors and the GERI indexes are calculated in the inner loop. Second, the GERI indexes are compared and the maximum GERI in each inner loop is associated with the most suspicious parameter or measurement. Third, when the maximum GERI is less than a given threshold in the outer loop, its corresponding erroneous parameter or measurement is identified. Multiple measurement scans are also adopted in order to increase the redundancy of measurements and the observability of parameters. It should be noted that the proposed algorithm can be directly integrated into the Weighted Least Square estimator. Furthermore, using a faster simplified calculation technique with Givens rotations reduces the required computer memory and increases the computation speed. This method has been demonstrated in the IEEE 14-bus test system and several matpower cases. Due to its outstanding practical performance, it is now used at six provincial power control centers in the Eastern Grid of China.


2021 ◽  
pp. 0309524X2110107
Author(s):  
Lorenzo Dambrosio

The present paper proposes the application to a wind system of the One Step Ahead control scheme featured by a Fuzzy-based Least Square Estimator. The considered wind system power generation supplies an electrical load disconnected from the power supply grid. It is composed of a three bladed horizontal-axis wind turbine which drives a synchronous generator by means of gearbox: the mathematical model for both the horizontal-axis wind-turbine and the synchronous generator will be briefly outlined. The adaptive nature of the One-Step-Ahead control algorithm relies on providing consistent estimation of the controlled system. This is achieved by means of a Least Square Algorithm that is able to provide a good estimation of a linear discrete time model of the controlled system, nevertheless its convergence rate reduces very quickly. For this reason, Least Square Algorithm needs a resetting strategy, which allows the achievement of a compromise between estimation accuracy and convergence rate. This not only represents a very problem-dependent issue but also introduces weaknesses in term of control tracking errors, which in turns needs an extra control contribution (integral correction). The proposed Least Square Algorithm enhancement overcomes these issues managing differently the estimation accuracy and the convergence rate. In the Results section, the achievements of the application of the One-Step-Ahead algorithm to the wind system will prove the reliability of the suggested enhanced control technique.


Sensors ◽  
2021 ◽  
Vol 21 (7) ◽  
pp. 2294
Author(s):  
Peter Krapež ◽  
Matjaž Vidmar ◽  
Marko Munih

An ultra-wideband (UWB) localization system is an alternative in a GPS-denied environment. However, a distance measurement with UWB modules using a two-way communication protocol induces an orientation-dependent error. Previous research studied this error by looking at parameters such as the received power and the channel response signal. In this paper, the neural network (NN) method for correcting the orientation-induced distance error without the need to calculate the signal strength, obtain the channel response or know any parameters of the antenna and the UWB modules is presented. The NN method utilizes only the measured distance and the tag orientation, and implements an NN model obtained by machine learning, using measurements at different distances and orientations of the two UWB modules. The verification of the experimental setup with 12 anchors and a tag shows that with the proposed NN method, 5 cm better root mean square error values (RMSEs) are obtained for the measured distance between the anchors and the tag compared to the calibration method that did not include orientation information. With the least-square estimator, 14 cm RMSE in 3D is obtained with the NN model corrected distances, with a 9 cm improvement compared to when raw distances are used. The method produces better results without the need to obtain the UWB module’s diagnostics parameters that are required to calculate the received signal strength or channel response, and in this way maintain the minimum packet size for the ranging protocol.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Lixiong Yang

Abstract This paper extends the threshold cointegration model developed by Gonzalo, J., and J. Y. Pitarakis. 2006. “Threshold Effects in Cointegrating Relationships.” Oxford Bulletin of Economics & Statistics 68: 813–33 and Chen, H. 2015. “Robust Estimation and Inference for Threshold Models with Integrated Regressors.” Econometric Theory 31 (4): 778–810 to allow for a time-varying threshold, which is a function of candidate variables that affect the separation of regimes. We derive the asymptotic distribution of the proposed least-square estimator of the threshold, and study the convergence rate of the threshold estimator. We also suggest test statistics for threshold effect and threshold constancy. Monte Carlo simulations point out that the convergence rate of the threshold estimator is consistent with the asymptotic theory, and the proposed tests have good size and power properties. The empirical usefulness of the proposed model is illustrated by an application to the US data to investigate the Fisher hypothesis.


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