Hybrid Estimators for Finite Population Variance: Combining Auxiliary Data with Traditional Methods H. P. Singh, Shakti Prasad Lobachevskii Journal of Mathematics, 2025 Abstract This study introduces three innovative hybrid efficient estimators designed for estimating population variance within the framework of simple random sampling. It highlights the critical role of auxiliary variables and their corresponding measures in the formulation of these hybrid estimators. We derive the bias and mean squared error of the proposed estimators, applying up to the first order of approximation. Additionally, we calculate the percent relative efficiency of these estimators and assess their performance against several established estimators using both gamma-simulated and real data sets. The results demonstrate that our proposed estimators typically achieve a lower mean squared error compared to the usual unbiased estimator and other existing estimators under specified conditions.
Neutrosophic Mean Estimators Using Extreme Indeterminate Observations in Sample Surveys Neutrosophic Sets and Systems, 2025
Some New Efficient Linear Regression Ratio Type Estimators For Estimating The Population Mean In Sampling Theory Vinay Kumar Yadav, Shakti Prasad Boletim Da Sociedade Paranaense De Matematica, 2025 This article deals with some new efficient linear regression ratio type estimators for estimating the population mean in sampling theory by using the auxiliary information of quartile deviation and deciles. The proposed estimators can be considered an efficient extension to the work of Kadilar and Cingi (Applied Mathematics and Computaton, 151, 893-902, 2004 \\ Hacettepe Journal of Mathematics and Statistics, 35 (1), 103-109, 2006) and the Subjar (World Applied Sciences Journal, 35 (3), 377-384, 2017). The theoretical results are derived, and a comparative study is conducted. The suggested estimators are shown to have smaller mean squared errors than the Kadilar and Cingi (2004 \\ 2006) and Subzar (2017) estimators. The percent relative efficiencies of the suggested estimators for various sample sizes are involved in simulation studies for a given natural population data set, and the results are found to be quite encouraging, providing an improvement over all previous work.
Some efficient exponential estimators in survey sampling: A simulation study , S. Prasad, V. K. Yadav, and Mathematical Modeling and Computing, 2025 In the framework of sampling theory, a factor-type exponential ratio estimator is proposed for the estimation of the population mean. The estimator takes into account a spectrum of alpha values (constants) spanning −1 to +1 when analysing supplementary information for the study variable. The study demonstrates the effectiveness of the suggested estimators by deriving bias and mean square error equations up to the first degree of large sample approximation. The analysis shows that the proposed estimators perform better than the existing exponential estimators taken into account throughout this study, indicating noticeably lower mean squared errors. The article also evaluates the suggested estimator's % relative efficiency when compared to the usual mean estimator. The work demonstrates the superior performance of the suggested estimators over their exponential counterparts through numerical demonstration and simulation analysis, demonstrating an improvement in estimation efficiency. The purpose of this study is to improve the efficiency of survey sample estimators by utilizing auxiliary information. Simulation studies were used to develop and evaluate new exponential estimators, with an emphasis on bias, mean squared error (MSE), and relative efficiency as compared to established approaches. The results revealed that the proposed estimators had decreased bias and MSE, resulting in significant efficiency gains, especially when the auxiliary variables were significantly linked with the principal variable of interest. These findings demonstrate the novel estimators' adaptability and practical applicability, making them an important tool for accurate and efficient population parameter estimation in survey sampling.
Generalized Factor-Type Exponential Estimators of Population mean in Sample Surveys Vinay Kumar Yadav, Shakti Prasad, Subhash Kumar Yadav Boletim Da Sociedade Paranaense De Matematica, 2025 The present article deals with a generalized class of estimators for estimating the population mean in sample surveys, employing various combinations of auxiliary variables and considering some values of characterizing constant alpha ranging from -1 to +1. The proposed estimator may be consider as an efficient extension to the work of Singh and Shukla (Metron, 45(1-2): 273-283, 1987), Bahl and Tuteja (Journal of information and optimization sciences, 12(1), 159-164, 1991) and Kadilar (Journal of Modern Applied Statistical Methods: Vol. 15 : Iss. 2 , Article 15, 2016). The sampling properties of the suggested estimators have been derived up to the first degree of large sample approximations. The suggested estimators are shown to have smaller mean squared errors than the existing exponential estimators considered in this paper. The percent relative efficiencies with respect to the usual mean estimator are calculated. An improvement has been shown over the existing exponential estimators through theoretical conditions as well as by a numerical and simulation study based on COVID-19 death in India.
Some estimators of population mean in two-occasion rotation patterns Advances in Modelling and Analysis A, 2010
RECENT SCHOLAR PUBLICATIONS
An efficient class of product type compromised methods of imputation in survey sampling VK Yadav, S Prasad Quality & Quantity, 1-20 , 2026 2026
Novel and Efficient Population Mean Estimation with Auxiliary Information: A Monte Carlo Simulation Approach N Mandal, HP Singh, S Prasad Proceedings of the National Academy of Sciences, India Section A: Physical … , 2026 2026
A study on the estimation of population coefficient of variation using auxiliary variable under simple random sampling N Mandal, S Prasad, HP Singh Quality & Quantity 60 (2), 6117-6156 , 2026 2026 Citations: 1
AN OPTIMIZED FAMILY OF EXPONENTIAL RATIO ESTIMATOR FOR FINITE POPULATION MEAN IN SIMPLE RANDOM SAMPLING D Shikha, S Prasad REVISTA INVESTIGACION OPERACIONAL 47 (02), 235-252 , 2026 2026
Assessing the Performance of Regression-Based Exponential Estimators in the Presence of Outliers: A Simulation Study VK Yadav, S Prasad Journal of the Indian Society for Probability and Statistics, 1-28 , 2025 2025
An Efficient Exponential Cum Logarithmic Estimator Using Auxiliary Attributes: Insights from Health and Finance Applications N Mandal, S Prasad, HP Singh Measurement: Interdisciplinary Research and Perspectives, 1-25 , 2025 2025
Hybrid Estimators for Finite Population Variance: Combining Auxiliary Data with Traditional Methods HP Singh, S Prasad Lobachevskii Journal of Mathematics 46 (4), 1716-1731 , 2025 2025
Some new efficient linear regression ratio type estimators for estimating the population mean in sampling theory VK Yadav, S Prasad Boletim da Sociedade Paranaense de Matemática 43 (10.5269/bspm.68413) , 2025 2025 Citations: 2
Generalized Factor-Type Exponential Estimators of Population mean in Sample Surveys VK Yadav, S Prasad, SK Yadav Boletim da Sociedade Paranaense de Matemática 43 , 2025 2025 Citations: 2
Neutrosophic mean estimators using extreme indeterminate observations in sample surveys VK Yadav, D Majhi, AA Alkhathami, S Prasad Neutrosophic Sets and Systems 80, 86-117 , 2025 2025 Citations: 10
Spectra of four new Graphs join based on Subdivision and Central Graph. MP Borah, KR Singh, S Prasad Journal of Computational Analysis & Applications 33 (5) , 2024 2024 Citations: 1
Neutrosophic estimators for estimating the population mean in survey sampling VK Yadav, S Prasad Measurement: Interdisciplinary Research and Perspectives 22 (4), 373-397 , 2024 2024 Citations: 32
Some efficient ratio-type exponential estimators using the Robust regression’s Huber M -estimation function VK Yadav, S Prasad Communications for Statistical Applications and Methods 31 (3), 291-308 , 2024 2024 Citations: 1
Some exponential estimators in sample survey using robust regression method in the presence of outliers V Kumar Yadav, S Prasad Lobachevskii Journal of Mathematics 45 (4), 1674-1690 , 2024 2024 Citations: 4
Generalized class of factor type exponential imputation techniques for population mean using simulation approach VK Yadav, S Prasad Journal of Statistical Computation and Simulation 94 (09), 1997-2039 , 2024 2024 Citations: 8
Exponential method of estimation in sampling theory under robust quantile regression methods VK Yadav, S Prasad Communications in Statistics-Theory and Methods 53 (17), 6285-6298 , 2024 2024 Citations: 12
A simulation based optimization of factor-type exponential estimators in sample surveys with coefficients of variation and kurtosis VK Yadav, S Prasad Franklin Open 5, 100050 , 2023 2023 Citations: 5
Neutrosophic estimators in two-phase survey sampling VK Yadav, SP Prasad Neutrosophic Sets and Systems 61 (1), 29 , 2023 2023 Citations: 14
Imputation of Missing Data Through Product Type Exponential Methods in Sampling Theory. S Prasada, VK Yadavb Colombian Journal of Statistics/Revista Colombiana de Estadística 46 (1) , 2023 2023 Citations: 18
Some Compromised Exponential Ratio Type Imputation Methods in Simple Random Sampling S Prasad Proceedings of the National Academy of Sciences, India Section A: Physical … , 2021 2021 Citations: 8
MOST CITED SCHOLAR PUBLICATIONS
Neutrosophic estimators for estimating the population mean in survey sampling VK Yadav, S Prasad Measurement: Interdisciplinary Research and Perspectives 22 (4), 373-397 , 2024 2024 Citations: 32
A Study on New Methods of Ratio Exponential Type Imputation in Sample Surveys S Prasad Hacettepe Journal of Mathematics and Statistics 47 (5), 1281-1301 , 2018 2018 Citations: 32
Ratio exponential type estimators with imputation for missing data in sample surveys S Prasad Model Assisted Statistics & Applications 12 (2), 95-106 , 2017 2017 Citations: 21
A class of estimators for population variance in two occasion rotation patterns GN Singh, K Priyanka, S Prasad, S Singh, JM Kim Communications for Statistical Applications and Methods 20 (4), 247-57 , 2013 2013 Citations: 19
Some estimators of population mean in two- occasion rotation patterns GN Singh, and, S Prasad Association for the advancement of modeling & analysis 47 (02), 1-18 , 2010 2010 Citations: 19
Imputation of Missing Data Through Product Type Exponential Methods in Sampling Theory. S Prasada, VK Yadavb Colombian Journal of Statistics/Revista Colombiana de Estadística 46 (1) , 2023 2023 Citations: 18
Rotation patterns under imputation of missing data over two-occasion GN Singh, VK Singh, Priyanka, S Prasad, JP Karna Communications in Statistics-Theory and Methods 41 (10), 1857-1874 , 2012 2012 Citations: 15
Neutrosophic estimators in two-phase survey sampling VK Yadav, SP Prasad Neutrosophic Sets and Systems 61 (1), 29 , 2023 2023 Citations: 14
Exponential method of estimation in sampling theory under robust quantile regression methods VK Yadav, S Prasad Communications in Statistics-Theory and Methods 53 (17), 6285-6298 , 2024 2024 Citations: 12
Neutrosophic mean estimators using extreme indeterminate observations in sample surveys VK Yadav, D Majhi, AA Alkhathami, S Prasad Neutrosophic Sets and Systems 80, 86-117 , 2025 2025 Citations: 10
Some linear regression type ratio exponential estimators for estimating the population mean based on quartile deviation and deciles S Prasad Statistics in Transition. New Series 21 (5), 85-98 , 2020 2020 Citations: 10
Assessment of non-response under ratio method of imputation in two-occasion successive sampling GN Singh, D Majhi, S Prasad, F Homa Journal of Statistical Theory and Applications 12 (4), 403-418 , 2013 2013 Citations: 10
Best linear unbiased estimators of population mean on current occasion in two occasion rotation patterns, Vol. 14, No. 1, pp. 57-74. GN Singh, S Prasad Statistics in Transition-new series, Spring, 14 (1), 57-74 , 2013 2013 Citations: 10
Some rotation patterns in two-phase sampling, , Vol .12, No.1, pp.25-44. GN Singh, S Prasad Statistics in Transition-new series 12 (1), 25-44 , 2011 2011 Citations: 10
Generalized class of factor type exponential imputation techniques for population mean using simulation approach VK Yadav, S Prasad Journal of Statistical Computation and Simulation 94 (09), 1997-2039 , 2024 2024 Citations: 8
Some Compromised Exponential Ratio Type Imputation Methods in Simple Random Sampling S Prasad Proceedings of the National Academy of Sciences, India Section A: Physical … , 2021 2021 Citations: 8
Best linear unbiased estimators of population variance in successive sampling GN Singh, S Prasad, D Majhi Model Assisted Statistics and Applications 7 (3), 169-178 , 2012 2012 Citations: 8
Product exponential method of imputation in sample surveys S Prasad Statistics in Transition New Series 19 (1), 159-166 , 2018 2018 Citations: 7
An exponential imputation in the case of missing data S Prasad Journal of Statistics and Management Systems 20 (6), 1127-1140 , 2017 2017 Citations: 7
Some classes of estimators for population mean at current occasion in two-occasion successive sampling GN Singh, S Prasad, JP Karna Journal of Statistical Research 45 (1), 21 , 2011 2011 Citations: 7