A Family of Estimators of Finite-Population Distribution Function Using Auxiliary Information

2008 ◽  
Vol 104 (2) ◽  
pp. 115-130 ◽  
Author(s):  
Housila P. Singh ◽  
Sarjinder Singh ◽  
Marcin Kozak
Keyword(s):  
Distribution Function ◽  
Finite Population ◽  
Population Distribution ◽  
Auxiliary Information

scholarly journals Estimation of finite population distribution function with dual use of auxiliary information under non-response

PLoS ONE ◽  
2020 ◽  
Vol 15 (12) ◽  
pp. e0243584
Author(s):  
Sardar Hussain ◽  
Sohaib Ahmad ◽  
Sohail Akhtar ◽  
Amara Javed ◽  
Uzma Yasmeen
Keyword(s):  
Distribution Function ◽  
Finite Population ◽  
Population Distribution ◽  
Auxiliary Information ◽  
Simple Random Sampling ◽  
Auxiliary Variable ◽  
Distribution Functions ◽  
Auxiliary Variables ◽  
Sample Mean ◽  
Sample Distribution

In this paper, we propose two new families of estimators for estimating the finite population distribution function in the presence of non-response under simple random sampling. The proposed estimators require information on the sample distribution functions of the study and auxiliary variables, and additional information on either sample mean or ranks of the auxiliary variable. We considered two situations of non-response (i) non-response on both study and auxiliary variables, (ii) non-response occurs only on the study variable. The performance of the proposed estimators are compared with the existing estimators available in the literature, both theoretically and numerically. It is also observed that proposed estimators are more precise than the adapted distribution function estimators in terms of the percentage relative efficiency.

scholarly journals Finite Population Distribution Function Estimation Using Auxiliary Information Under Simple Random Sampling

2021 ◽  
Vol 3 (1) ◽  
pp. 29-38
Author(s):  
Sohaib Ahmad ◽  
Sardar Hussain ◽  
Sohail Ahmad
Keyword(s):  
Distribution Function ◽  
Random Sampling ◽  
Finite Population ◽  
Population Distribution ◽  
Auxiliary Information ◽  
Simple Random Sampling ◽  
Auxiliary Variable ◽  
Supplementary Information ◽  
Function Estimation ◽  
Distribution Function Estimation

In this paper, a new estimator for estimating the finite population distribution function(DF) are propose using supplementary information on the DF of the auxiliary variable under simple random sampling. A comparative study is conducted to compare, theoretically and numerically, the adapted distribution function estimators of Cochran (1940), Murthy (1967), Bahl and Tuteja (1991), Rao (1991), Singh et al. (2009) and Grover and Kaur (2014) with the proposed estimators. It is found that the proposed estimators always perform better than the adapted estimators in terms of MSE and percentage relative efficiency.

Estimation of a finite population distribution function based on a linear model with unknown heteroscedastic errors

2005 ◽  
Vol 33 (2) ◽  
pp. 181-200 ◽  
Author(s):  
María-José Lombardí ◽  
Wenceslao González-Manteiga ◽  
José-Manuel Prada-Sánchez
Keyword(s):  
Distribution Function ◽  
Linear Model ◽  
Finite Population ◽  
Population Distribution ◽  
Heteroscedastic Errors
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