Almost Unbiased Ratio Cum Product Estimator for Finite Population Mean with Known Coefficient of Skewness
Journal Title: Journal of Advanced Research in Applied Mathematics and Statistics - Year 2017, Vol 2, Issue 1
Abstract
In sample survey, the auxiliary information is used for both selections as well as estimation stages to improve the efficiency of estimators. Several estimators like linear regression estimator,ratio estimator, product estimator and modified ratio estimators for the estimation of population means use the auxiliary information. This article deals with an almost unbiased ratio cum product estimator for the estimation of population mean of the study variable with the known coefficient of skewness of the auxiliary variable. The bias and mean squared error of proposed estimators are derived and compared with that of the existing estimators. Numerical illustrations are provided with the help of some natural populations to compare the efficiency of proposed estimator over the existing estimators.From the numerical study, the proposed estimator is almost unbiased and performs better than all other existing estimators.
Authors and Affiliations
Mr. Master Ajith S,
Keywords
Related Articles
- EP ID EP272969
- DOI -
- Views 152
- Downloads 0
A Comparative Study of the Predictive Power of ARIMA and VAR Models: Evidence from Crude Oil Prices, Stock Market Movement and Economic Growth Nexus in Nigeria
This work compares the predictive power of univariates and multivariate models of crude oil prices, stock market capitalization and exchange rate. Modeling of the respective series as univariates and modeling the dynamic...
Aboodh Transform of Bessel’s Functions
Bessel’s functions have many applications to solve the problems of mathematical physics, acoustics, engineering and sciences such as heat transfer, fluid mechanics, vibrations, stress analysis, hydrodynamics, flux distri...
Extended Coupled Stochastic Models for Management of Type-2 Diabetes Mellitus (T2DM) Patients
In this article the researchers have proposed extended coupled stochastic models for assessing the levels of glucose and insulin among diabetic patients by adding physical activity parameter. The study has also provided...
Stochastic and Optimization Models for Two Stage Cancer Studies with Homogeneous Processes
In this paper, stochastic model for carcinogenesis under the assumption of homogeneous birth-and-death processes using ordinary linear differential equations has been considered [1]. The statistical measures based on mom...
A Two Warehouses Inventory Model for linear Deterioration with Exponentially Demand Rate
In this study, a two warehouses inventory model has been developed for which items are subject to linear deterioration and exponentially demand. Here shortages are allowed and are partially backlogged. The unsatisfied de...