Contact Us

For Marketing, Sales and Subscriptions Inquiries
2637 E Atlantic Blvd #43110
Pompano Beach, FL 33062

Conference List

Some Modified Linear Regression Type Ratio Estimators for Estimation of Population Mean Using Known Parameters of an Auxiliary Variable

J. Subramani


G. Kumarapandiyan


S. Balamurali

J. Subramani 1 G. Kumarapandiyan 1 S. Balamurali 3

  1. Department of Statistics, Ramanujan School of Mathematical Sciences, Pondicherry University, R V Nagar, Kalapet, Puducherry, India 1

  2. Department of Computer Applications, Kalasalingam University, Krishnan Koil, Srivilliputhur via, Virudhunagar – Tamilnadu, India 3


The present paper deals with modified linear regression type ratio estimators for estimation of population mean of the study variable when the Kurtosis, Skewness, population correlation coefficient and quartiles of the auxiliary variable are known. The bias and the mean squared error of the proposed estimators are derived and are compared with that of simple random sampling without replacement (SRSWOR) sample mean, the usual ratio estimator and the existing modified linear regression type ratio estimators. As a result, we have derived the conditions for which the proposed estimators perform better than the other existing estimators.  Further the performance of the proposed estimators with that of the existing estimators are assessed for a natural population. From the numerical study it is observed that the proposed modified ratio estimators perform better than the existing estimators. 
Contribution/ Originality



  1. M. N. Murthy, Sampling theory and methods. Calcutta: Statistical Publishing Society, 1967.
  2. D. Singh and F. S. Chaudhary, Theory and analysis of sample survey designs. New Delhi: New Age International Publisher, 1986.
  3. A. L. Al-Omari, A. A. Jemain, and K. Ibrahim, "New ratio estimators of the mean using simple random sampling and ranked set sampling methods," Revista Investigación Operacional, vol. 30, pp. 97-108, 2009.
  4. C. Kadilar and H. Cingi, "Ratio estimators in simple random sampling," Applied Mathematics and Computation, vol. 151, pp. 893-902, 2004.
  5. C. Kadilar and H. Cingi, "An improvement in estimating the population mean by using the correlation coefficient," Hacettepe Journal of Mathematics and Statistics, vol. 35, pp. 103-109, 2006.
  6. Z. Yan and B. Tian, "Ratio method to the mean estimation using coefficient of skewness of auxiliary variable," ICICA 2010, Part II, CCIS, vol. 106, pp. 103–110, 2010.
  7. J. Subramani, "Generalized modified ratio estimator for estimation of finite population mean," Journal of Modern Applied Statistical Methods, vol. 12, pp. 121-155, 2013.
  8. H. Cingi and C. Kadilar, Advances in sampling theory- ratio method of estimation. Sharjah, United Arab Emirates: Bentham Science Publishers, 2009.
  9. W. G. Cochran, Sampling techniques, 3rd ed. New Delhi, India: Wiley Eastern Limited, 1977.


Google Scholor ideas Microsoft Academic Search bing Google Scholor


Competing Interests:


Related Article

( 1 ) Chemical Analysis of Some Herbicides Contents of Most Common Vegetables and Aquatic Animals in Makurdi Metropolis
( 2 ) Impact Assessment of Radio Frequencies Field Levels of Some GSM Base Stations in Makurdi Metropolis
( 3 ) Assessment of the Levels of Radiation Absorbed By Radiology Personnel in Some Hospitals in Makurdi Metropolis
( 4 ) A Comparative Study of Radiofrequencies Field Levels of Some Base Stations in Makurdi and its Environs in Benue State, North Central Nigeria
( 5 ) Eccentric Connectivity Index of Some Special Molecular Graphs and Their R-Corona Graphs
( 6 ) Some Modified Linear Regression Type Ratio Estimators for Estimation of Population Mean Using Known Parameters of an Auxiliary Variable
( 7 ) Synthesis, Physico-Chemical and Antimicrobial Properties of Some Metal (II) -Mixed Ligand Complexes of Tridentate Schiff Base Derives From Β-Lactam Antibiotic {(Cephalexin Mono Hydrate)-4-Chlorobenzophenone} and Saccharin
( 8 ) Evaluation of Some Chemical and Sensory Properties of Processed Cheese Analogue with Selected Vegetable Oils
( 9 ) Floristic Feature of Plant Cover Associated with Some Species of Genus Suaeda in Egypt
( 10 ) Field Performance of a Modified Chisel Plow
( 12 ) Kinetics and Mechanisms of Cadmium (Ii) Ion Sorption Using Carbonized and Modified Sorghum (Sorghum Bicolor) Hull of Two Pore Sizes (CMSH 150µm and 250µm)
( 13 ) Laboratory Evaluation of ITS Test on Asphalt Modified with Various Ranges of Crumb Rubber
( 15 ) Structural Design of A Linear-Motion Type Semi-Active Damper by Finite Element Method
( 19 ) Steady State Acceleration Model of Cosmic Ray in the Atmosphere
( 20 ) Preparation and Characterization of Sawdust (Cellulose) as an Adsorbent for Oil Pollution Remediation
( 21 ) Developmental and Hormonal Regulation of Direct Shoots and Roots Regeneration in Coccinia Indica L
( 22 ) Effect of Organic and Inorganic Fertilizer Application and Seedbed Preparation on Potato Yield and Soil Properties on Alisols of Chencha
( 23 ) Design, Construction and Calibration of a Solar Radiation Measuring Meter
( 25 ) Decolouration of Dye in Wastewater by Selected Fungal and Bacterial Species: A Bioremediation Approach
( 26 ) Heat and Mass Transfer Due To Double Diffusive Mixed Convection in a Parallel Plate Reactor in Presence of Chemical Reaction and Heat Generation
( 27 ) Physicochemical Effects and Sensory Characteristics of Pomerac (Malay Apple; Syzygium Malaccense) Wine: Effects of Varying Pectolase Concentrations
( 28 ) Incorporation of Chitosan and Glass Substrate for Improvement on Adsorption, Separation and Stability of Tio2 Photocatalysis
( 29 ) Effect of Incorporation of Cellulose Industrial Residue in Concrete Matrix
( 30 ) Fuzzy Control of Hydrogen Generation by the Reaction of Activated Aluminum Particles and Water
( 31 ) Evaluation and Quantification of Electromagnetic Field Distribution for Different Configurations of Aeronautical Materials
( 32 ) Comparative Analysis of Osmotic Dehydration of Fruits and Vegetables: Using Mango (Mangifera Indica L.) and Carrot (Daucus Carota L) in a Semi-Continuous Process
( 33 ) The Study of the Landscape Restoration and Reuse of Foreign Company Facilities in Tamsui, Taiwan
( 34 ) Gaseous Vapor Emission (GVE) Technique for Detection of Petrol Adulteration at Point of Sale (POS) Terminals
( 35 ) Pathogenic Fungi Associated with Post-Harvest Deterioration of Cassava
( 37 ) Productivity and Economics of Sorghum Varieties for Grain As Influenced By Nitrogen Levels in Sandy Loam Soil
( 38 ) On the Procedures for the Extraction and Isolation of Flavonoids Present in the Methanolic Extract of Leaves of Acanthospermum Hispidiumdc
( 39 ) Physiological Characterization of Kenyan Sorghum Lines for Tolerance To Aluminium
( 40 ) The Effect of Electromagnetic Coupling Via Planar Spiral Inductor for Wireless Power Transfer
( 43 ) Response Surface Methodology (RSM) A Good Optimizer for Transesterification Reaction of Chrysophyllum Albidium Seed Oil To Chrysophyllum Albidium Oil Biodiesel
( 44 ) Wood Production and Management of Woody Species in Homegardens Agroforestry: The Case of Smallholder Farmers in Gimbo District, South West Ethiopia
( 45 ) The Use of Two New Formulations of Ocimum Canum Sims and Cymbopogon Schoenanthus L. In The Control of Amitermes Evuncifer Silvestri (Termitidae: Termitinae), in Togo
( 46 ) A Socio-Economical Perspective for a Holistic Management of Temporary Watersheds in Central Mexico Based on a Simple Mathematical Model for Decision-Makers
( 47 ) Orientational Effects on Soiling Measurements at the Sheldonian Theatre in Central Oxford, UK
( 49 ) Effect of Common Acids and Anions on the Extraction of Iron (Ii) from Aqueous Solutions into Chloroform Solution Of 4,4´-(1e,1e´)-1,1´-(Ethane-1,2-Diylbis(Azan-1-Yl-1ylidene))Bis(5-Methyl-2-Phenyl-2,3-Dihydro-1h-Pyrazol-3-Ol)
( 50 ) Evaluating Treatment Process of Produced Water from Oil/Gas Production Platform with Scale Inhibitor
( 51 ) A Study on the Accessibility in Shopping Malls for People with Disabilities (PWDS) in Malaysia
( 52 ) A Study on Whether Assistive Devices Are Needed for Dementia Elderly in Dementia Day Care Centre
( 53 ) Modeling a System of Rotating Biological Contactor (RBC) for Biodegradation of Phenol in Industrial Wastewater
( 54 ) Performance Evaluation of Textile Industries in Bangladesh: An Empirical Study
( 55 ) High/Low Gain Rectangular Dielectric Resonator Antenna for WLAN Applications
( 57 ) New Method of Inversion Vertical Electrical Logging (IVEL) for Identification of Coal Seam Prospect of Muara Enim Regency, South Sumatera
( 58 ) Influence of Shear Connector Size on Ultimate Strength in Composite Construction with Cold-Formed Steel Channel Lipped Section
( 59 ) Study of Layered Structure on Contact Boundary Area of Formation Panasogan-Waturanda by Applying Ground Penetrating Radar Method
( 60 ) Computer Aided Design of a Multi-Component Distillation Column for Processing of Nigerian Bonny Light Crude Oil
( 61 ) Modeling of a Tubular Fixed-Bed Reactor for the Production of Dimethyl Ether Using Alumina Catalyst
( 62 ) Impact of Shear Connector Spacing in Composite Construction Incorporating Cold-Formed Steel Channel Lipped Section
( 63 ) Improving Cloud System Performances by Adopting Nvram-Based Storage Systems
( 64 ) The Multi-Parameter on-Line Monitoring System Applied for Rotating Machinery
( 66 ) Production Processing for the Beneficiation of Waste Polythylene Product
( 67 ) Predictive Models for Cutting Force in Turning Tools Based on Response Surface Methodology
( 68 ) Applying Building Information Modelling Plus-the Practice of Shanghai Shipping Service Complex
( 70 ) Green Transformation and its Application on Shipping Service Complex
( 71 ) Introducing an Appropriate Geoportal Structure for Managing Wildlife Location Data
( 72 ) Impact of Forecasting Techniques and Market Demand Scenarios on Multi-Product, Multi-Period Aggregate Production Planning
( 74 ) Performance Evaluation of PFR and CSTR 1- Reactor Tank for Formaldehyde Petrochemical Production
( 75 ) Predictive Pseudo-Steady-State Mechanistic Model for Chain Reactions in Petrochemical Furnace Reactors
( 76 ) Production of Pectin as a Relevant Tool for by-Products Management Resulting from Four Tropical Edible Fruits Processing: Extraction Yield, Physicochemical and Functional Properties of Pectin Powder