그래프 모형을 이용한 지수분포 모수들의 기하평균 비교에 관한 연구 = On Multiple Comparison of Geometric Means of Exponential Parameters via Graphical Model

다국어 초록 (Multilingual Abstract)

This paper develops a multiple comparison method for finding an optimal ordering of K geometric means of exponential parameters. This is based on the paired comparison experimental arrangement whose results can naturally be represented by a completely oriented graph. Introducing posterior preference probabilities and stochastic transitivity conditions to the graph, we obtain a new graphical model that yields criteria for the optimal ordering in the multiple comparison. Necessary theories involved in the method and some computational aspects are provided. Some numerical examples are given to illustrate the efficiency of the suggested method.

참고문헌 (Reference)

1 "The k-ratio multiple comparisons Bayes rule for the balanced two-way design" 92 : 675-684, 1997

2 "Reference Prior Bayesian Analysis for Normal Mean Products" 90 : 589-597, 1995

3 "R. R. and Solomon" 1973

4 "Multiple Comparisons, London: Chapman and Hall" Chapman and Hall. 1996

5 "Distribution of rankings for groups exhibiting heteroscedasticity and correlation" 98 : 147-157, 2003

6 Bechhofer, R. E., Santner, T. J., and Goldsman, D. M, "Design and Analysis of Experiments for Statistical Selection" Wiley. 1995

7 "Bacteriological Ambient Water Quality Criteria for Marine and Fresh Recre-" 1986

8 "An O(2n) volume molecular algorithm for Hamil-tonian path" 2003

9 "Ambient Water Quality Criteria for Bacteria."

10 "A note on multiple testing procedure in dose ?nding" 1125-1128, 1997

11 Kim, S., "A fully sequential selection procedure for indi？？erence-zone selection in simulation." 11 : 251-273, 2001

12 ". Ranking from unbalanced paired-comparison data. Biometrika" 74 : 1987

13 ". Noninformative priors for one parameter of many" 1989

14 ". Molecular computation of solutions. Science" 266 : 1021-1024, 1994

15 ". Inconsistencies in a schedule of paired comparisons. Biometrika" 48 : 1961

16 ". Implementing Discrete Mathematics" Combinatorics and Graph Theory 1990