TY - JOUR ID - 2744 TI - SIMILARITY MEASURE FOR TWO DENSITIES JO - Iranian Journal of Science JA - ISTT LA - en SN - 2731-8095 AU - SOLEIMANI, A. R. AU - BEHBOODIAN, J. AD - 1Department of Statistics, College of Sciences, Shiraz University, 71454 Shiraz, I. R of Iran AD - Department of Mathematics, Shiraz Islamic Azad University, Shiraz, I. R of Iran Y1 - 2006 PY - 2006 VL - 30 IS - 2 SP - 157 EP - 163 KW - Mixed model KW - similarity measure KW - kullback information KW - poisson distribution KW - normal distribution DO - 10.22099/ijsts.2006.2744 N2 - Scott and Szewczyk in Technometrics, 2001, have introduced a similarity measure for twodensities f1 and f2 , by1, 21 21 1 2 2( , ), ,f fsim f ff f f f< >=< >< >wheref1, f2 f1(x, θ1)f2(x, θ2)dx.+∞−∞< >=∫sim(f1, f2) has some appropriate properties that can be suitable measures for the similarity of f1 and f2 .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, andKullback information, which may be better than sim(f1, f2) in some cases. The properties of these newmeasures are studied and some examples are provided. UR - https://ijsts.shirazu.ac.ir/article_2744.html L1 - https://ijsts.shirazu.ac.ir/article_2744_39fc7b850d027df8a5b094df73c30622.pdf ER -