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Selecting the Number and Location of Knots for Presenting Densities
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 Title & Authors
Selecting the Number and Location of Knots for Presenting Densities
Ahn, JeongYong; Moon, Gill Sung; Han, Kyung Soo; Han, Beom Soo;
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To present graph of probability densities, many softwares and graphical tools use methods that link points or straight lines. However, the methods can't display exactly and smoothly the graph and are not efficient from the viewpoint of process time. One method to overcome these shortcomings is utilizing interpolation methods. In these methods, selecting the number and location of knots is an important factor. This article proposes an algorithm to select knots for graphically presenting densities and implements graph components based on the algorithm.
Presenting Densities;Knots;Optimization Technique;
 Cited by
Doh, J. I. and Chwa, K. Y. (1993), An Algorithm for Determining the Internal Line Visibility of a Simple Polygon, Journal of Algorithms, Vol. 14, No.1, pp. 139-168 crossref(new window)

Enderle, G., Kansy, K. and Pfaff, G. (1987), Symbolic Computation: Computer Graphics Systems and applications, Springer-Verlag, Berlin

Hong, S. K. (2000), Study on Enumerating the Degree of Similarity in Pairs of the Standardized Scores and Lower and Upper tail Probabilities using the Folded Normal Distribution, The Mathematical Education, Vol. 39, No.2, pp. 167-177

Hyun, I. H., Kim, J. S., Lee, S. M. and Lee, I. J. (2000), The Characteristics of Probability Distribution for the Peak Day Demand Factors, Proceedings of the Conference of the Korean Society of Water and Waste, pp. 31-34

Jung, M. K. (2000), Estimation of Premium Rates using Poisson Probability Distribution for Livestock Insurance, The Korean Journal of Agricultural Economics, Vol. 41, No.3, pp. 79-96

Kim, T. W. and Lee, K. W. (2001), Weight Control and Knot Placement for Rational B-spline Interpolation, Korean Society of Mechanical Engineers International Journal, Vol. 15, No.2, 192-198

Lee, K. W., Kang, T. J. and Cho, H. J. (2000), Prediction of Laminate Composite Strength Using Probabilistic Approach, Journal of Korean Society for Composite Materials, Vol. 13, No.1, pp. 33-39

Lee, S. H. and Paek, Y. T. (2003), Computer Science: Dynamic Adaptive Model Based On Probabilistic Distribution Functions And Use's Profile For Web Media Systems, The Journal of Korean Association of Computer Education, Vol. 6, No.1, pp. 29-39

Press, H. W., Teukolsky, S. A., Vetterling, W. T. and Flannery, B. P. (1992), Numerical Recipes in C, Cambridge University Press

Ruppert, D (2002), Selecting the Number of Knots for Penalized Splines, Journal of Computational and Graphical Statistics, Vol. 11, No.4, 735-757 crossref(new window)

Wegman, E. J. and Carr, D. B. (1993), Statistical Graphics and Visualization, Handbook of Statistics, Vol. 9, 857-958 crossref(new window)