Mode estimation for a bivariate distribution
İhsan Karabulut · Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics · 2000
Givan a seguence of independent and identically distributed random vectors (Xı, Yi),(X2, Y2),(X3, Y3),...., (Xn,Y„) wilh 8 unimodal bivariate distribıdion fundion F(x,y), a consistent estimator of the mode, (9^,0 ) is proposed by using spacings as defined by J.H. Vanter (1967) (Ann. Math. Statist., 38, 1446-1455) for univariate distributions. The method is illustrated for a bivariate distribulion.