The present paper deals with estimation of population mean with more precision by incorporating t... more The present paper deals with estimation of population mean with more precision by incorporating the auxiliary information, as it has been recognised that incorporation of auxiliary information at design or at estimation stage or at both stages, results in more precision in estimating population parameters of interest. We have proposed the improved family of estimators by incorporating the auxiliary information of conventional and non-conventional location parameters and their linear combinations with correlation coefficient and coefficient of variation for estimating the population mean with more precision. The properties associated with the proposed estimators are assessed by mean square error and bias and compared with the classical and existing estimators. By this comparison we found that our proposed estimators are more efficient than the classical and existing estimators. Numerical illustration is also given in support of the theoretical results. MSC: 62D05 RESUMEN Este paper t...
International Journal of Neutrosophic Science, 2020
The estimation of the ratio of two means is studied within the neutrosophic theory framework. The... more The estimation of the ratio of two means is studied within the neutrosophic theory framework. The variable of interest Y is measured in a sample of units and the auxiliary variable X is obtainable for all units using records or predictions. They are correlated and the sample is selected using simple random sampling. The indeterminacy of the auxiliary variable is considered and is modeled as a neutrosophic variable. The bias and variance of the proposed estimator are derived.
Rank Set Sampling (RSS) is an alternative to simple random sampling was proposed by McIntyre (195... more Rank Set Sampling (RSS) is an alternative to simple random sampling was proposed by McIntyre (1952): Under such sampling scheme various authors have proposed the ratio rank set estimators in order to estimate the population parameters by using OLS (Ordinary Least Square) method. A big issue emerge that when outliers are present in data in that case all the estimators suggested by different authors can give distorted results as OLS is very sensitive to outliers. So in the present study we mainly focus on this issue and adapted the Huber M estimation Technique on the estimator suggested by Al-Odat (2009) instead of OLS, in order to get precise results in case of presence of outliers in data.
International Journal of Neutrosophicic Science (IJNS), 2020
The estimation of the ratio of two means is studied within the neutrosophic theory framework. The... more The estimation of the ratio of two means is studied within the neutrosophic theory framework. The variable of interest Y is measured in a sample of units and the auxiliary variable X is obtainable for all units using records or predictions. They are correlated and the sample is selected using Simple Random Sampling. The indeterminacy of the auxiliary variable is considered and is modeled as a neutrosophic variable. The bias and variance of the proposed estimator are derived.
The present paper deals with estimation of population mean with more precision by incorporating t... more The present paper deals with estimation of population mean with more precision by incorporating the auxiliary information, as it has been recognised that incorporation of auxiliary information at design or at estimation stage or at both stages, results in more precision in estimating population parameters of interest. We have proposed the improved family of estimators by incorporating the auxiliary information of conventional and non-conventional location parameters and their linear combinations with correlation coefficient and coefficient of variation for estimating the population mean with more precision. The properties associated with the proposed estimators are assessed by mean square error and bias and compared with the classical and existing estimators. By this comparison we found that our proposed estimators are more efficient than the classical and existing estimators. Numerical illustration is also given in support of the theoretical results. MSC: 62D05 RESUMEN Este paper t...
International Journal of Neutrosophic Science, 2020
The estimation of the ratio of two means is studied within the neutrosophic theory framework. The... more The estimation of the ratio of two means is studied within the neutrosophic theory framework. The variable of interest Y is measured in a sample of units and the auxiliary variable X is obtainable for all units using records or predictions. They are correlated and the sample is selected using simple random sampling. The indeterminacy of the auxiliary variable is considered and is modeled as a neutrosophic variable. The bias and variance of the proposed estimator are derived.
Rank Set Sampling (RSS) is an alternative to simple random sampling was proposed by McIntyre (195... more Rank Set Sampling (RSS) is an alternative to simple random sampling was proposed by McIntyre (1952): Under such sampling scheme various authors have proposed the ratio rank set estimators in order to estimate the population parameters by using OLS (Ordinary Least Square) method. A big issue emerge that when outliers are present in data in that case all the estimators suggested by different authors can give distorted results as OLS is very sensitive to outliers. So in the present study we mainly focus on this issue and adapted the Huber M estimation Technique on the estimator suggested by Al-Odat (2009) instead of OLS, in order to get precise results in case of presence of outliers in data.
International Journal of Neutrosophicic Science (IJNS), 2020
The estimation of the ratio of two means is studied within the neutrosophic theory framework. The... more The estimation of the ratio of two means is studied within the neutrosophic theory framework. The variable of interest Y is measured in a sample of units and the auxiliary variable X is obtainable for all units using records or predictions. They are correlated and the sample is selected using Simple Random Sampling. The indeterminacy of the auxiliary variable is considered and is modeled as a neutrosophic variable. The bias and variance of the proposed estimator are derived.
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