SIMILARITY MEASURE FOR TWO DENSITIES

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SOLEYMANI A.R.; BEHBOUDIAN J.

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Journal: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE Year:2006 | Volume:30 | Issue:A2 Page(s): 157-163

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Information Journal Paper

Title

SIMILARITY MEASURE FOR TWO DENSITIES

Author(s)

SOLEYMANI A.R. | BEHBOUDIAN J. | Issue Writer Certificate

Keywords

MIXED MODELQ3

SIMILARITY MEASUREQ3

KULLBACK INFORMATIONQ3

POISSON DISTRIBUTIONQ3

NORMAL DISTRIBUTIONQ3

Abstract

Scott and Szewczyk in Technometrics, 2001, have introduced a SIMILARITY MEASURE for two densities ¦1 and ¦2 , bySIM(¦1 ¦2)=< ¦1 ¦2>/Ö<¦1 ¦2> <¦1 ¦2>Where<¦1 ¦2>ò+¥-¥¦1(c,q1) ¦2(c,q2)dc sim(¦1 ¦2) has some appropriate properties that can be suitable measures for the similarity of ¦1 and ¦2 . However, due to some restrictions on the value of parameters and the kind of densities, discrete or continuous, it cannot be used in general. The purpose of this article is to give some other measures, based on modified Scott's measure, and KULLBACK INFORMATION, which may be better than sim (¦1 ¦2) in some cases. The properties of these new measures are studied and some examples are provided.

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APA: Copy

SOLEYMANI, A.R., & BEHBOUDIAN, J.. (2006). SIMILARITY MEASURE FOR TWO DENSITIES. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, 30(A2), 157-163. SID. https://sid.ir/paper/117986/en

Vancouver: Copy

SOLEYMANI A.R., BEHBOUDIAN J.. SIMILARITY MEASURE FOR TWO DENSITIES. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE[Internet]. 2006;30(A2):157-163. Available from: https://sid.ir/paper/117986/en

IEEE: Copy

A.R. SOLEYMANI, and J. BEHBOUDIAN, “SIMILARITY MEASURE FOR TWO DENSITIES,” IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, vol. 30, no. A2, pp. 157–163, 2006, [Online]. Available: https://sid.ir/paper/117986/en

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