Location Parameter, Estimation of

Author(s):  
A. R. Sen
2011 ◽  
Vol E94-B (9) ◽  
pp. 2646-2649
Author(s):  
Bum-Soo KWON ◽  
Tae-Jin JUNG ◽  
Kyun-Kyung LEE

2019 ◽  
Vol 44 (3) ◽  
pp. 309-341 ◽  
Author(s):  
Jeffrey M. Patton ◽  
Ying Cheng ◽  
Maxwell Hong ◽  
Qi Diao

In psychological and survey research, the prevalence and serious consequences of careless responses from unmotivated participants are well known. In this study, we propose to iteratively detect careless responders and cleanse the data by removing their responses. The careless responders are detected using person-fit statistics. In two simulation studies, the iterative procedure leads to nearly perfect power in detecting extremely careless responders and much higher power than the noniterative procedure in detecting moderately careless responders. Meanwhile, the false-positive error rate is close to the nominal level. In addition, item parameter estimation is much improved by iteratively cleansing the calibration sample. The bias in item discrimination and location parameter estimates is substantially reduced. The standard error estimates, which are spuriously small in the presence of careless responses, are corrected by the iterative cleansing procedure. An empirical example is also presented to illustrate the proposed procedure. These results suggest that the proposed procedure is a promising way to improve item parameter estimation for tests of 20 items or longer when data are contaminated by careless responses.


Author(s):  
Mingqian Liu ◽  
Bo Li ◽  
Yunfei Chen ◽  
Zhutian Yang ◽  
Nan Zhao ◽  
...  

Author(s):  
CARLOS A. POMALAZA-RÁEZ ◽  
YU-SHAN FONG

Three different kinds of median type estimators for use in applications where the underlying probability distributions are multivariate are proposed and analyzed. The numerical complexity and the statistical characteristics of the estimators are studied and discussed. Numerical results give evidence that the estimator which is a simple extension of the scalar median has an overall performance that is the same or better than the other two proposed estimators.


2012 ◽  
Vol 2012 ◽  
pp. 1-6 ◽  
Author(s):  
Zhenmin Chen ◽  
Feng Miao

The three-parameter lognormal distribution is the extension of the two-parameter lognormal distribution to meet the need of the biological, sociological, and other fields. Numerous research papers have been published for the parameter estimation problems for the lognormal distributions. The inclusion of the location parameter brings in some technical difficulties for the parameter estimation problems, especially for the interval estimation. This paper proposes a method for constructing exact confidence intervals and exact upper confidence limits for the location parameter of the three-parameter lognormal distribution. The point estimation problem is discussed as well. The performance of the point estimator is compared with the maximum likelihood estimator, which is widely used in practice. Simulation result shows that the proposed method is less biased in estimating the location parameter. The large sample size case is discussed in the paper.


Author(s):  
Puteri Pekerti Wulandari ◽  
Anik Djuraidah ◽  
Aji Hamim Wigena

Geographically weighted regression (GWR) is development of multiple regression that has spatial varying, so that the estimator of GWR is different for each location. Parameter estimation in GWR uses weighted least square method which is vulnerable to outlier and can cause biased parameter estimation. The robust GWR (RGWR) with LAD and M-estimator is resistance to outliers. This research estimated parameters on RGWR using LAD and M-estimator method and uses data of Java gross domestic product (GRDP) in 2015 containing several outliers. The result showed that RGWR model was better than GWR with M-estimator, and the predictions were closer to the actual values.


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