Mode estimation for a bivariate distribution

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:49
Mode estimation for a bivariate distribution

Mode estimation for a bivariate distribution

Authors : İ KARABULUT

Pages : 0-0

Doi:10.1501/Commua1_0000000381

View : 46 | Download : 9

Publication Date : 2000-01-01

Article Type : Research Paper

Abstract :Givan a seguence of independent and identically distributed random vectors insert ignore into journalissuearticles values(Xı, Yi); insert ignore into journalissuearticles values(X2, Y2); insert ignore into journalissuearticles values(X3, Y3);,...., insert ignore into journalissuearticles values(Xn,Y„); wilh 8 unimodal bivariate distribıdion fundion Finsert ignore into journalissuearticles values(x,y);, a consistent estimator of the mode, insert ignore into journalissuearticles values(9^,0 ); is proposed by using spacings as defined by J.H. Vanter insert ignore into journalissuearticles values(1967); insert ignore into journalissuearticles values(Ann. Math. Statist., 38, 1446-1455); for univariate distributions. The method is illustrated for a bivariate distribulion.
Keywords : Mode estimation, bivariate distribution, Statistics

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