期刊名称:Journal of Reliability and Statistical Studies
印刷版ISSN:0974-8024
电子版ISSN:2229-5666
出版年度:2010
卷号:3
期号:1
页码:13-29
出版社:Ankur Printing Palace
摘要:Consider a population which contains graphical relationship between two variables.There are two graphs of vertices and edges, each edge contains a length value and linked withtwo vertices (nodes). Mean length of all edges is unknown which is a problem to explore. Thispaper takes into account two planer graphs in particular, one of them is under main interest andother is an auxiliary graph. A sample of some nodes is drawn by simple random sampling(SRSWOR) along with a laid down node-sampling procedure and a class of estimators isproposed to estimate the mean length of an edge of planer graph using the structure of otherplaner graph as an auxiliary source of information. Optimal properties of estimators are derivedand results are numerically supported with the calculation of length estimates and confidenceintervals
关键词:Graph; Planer Graph; Edge; Vertices(nodes); Simple Random Sampling without;replacement (SRSWOR); Class; Estimator; Bias; Mean Squared Error (MSE); Optimum Choice;Confidence intervals