Estimating functions of canonical correlation coefficients
نویسندگان
چکیده
منابع مشابه
High-dimensional Approximations of the Coefficients on Linear Dis- criminant Functions and Canonical Correlation Variates
For discriminant analysis with (q + 1) p-dimensional populations, most inferential problems are based on two matrices Sb and Sw of sums of squares and products due to between-groups and withingroups, respectively. In this paper we are interesting in asymptotic behaviors of the coefficients on the linear discriminant functions, which are the characteristic vectors of S−1 w Sb. Under normality Sb...
متن کاملThe convergence of the empirical distribution of canonical correlation coefficients
Suppose that {Xjk, j = 1, · · · , p1; k = 1, · · · , n} are independent and identically distributed (i.i.d) real random variables with EX11 = 0 and EX 2 11 = 1, and that {Yjk, j = 1, · · · , p2; k = 1, · · · , n} are i.i.d real random variables with EY11 = 0 and EY 2 11 = 1, and that {Xjk, j = 1, · · · , p1; k = 1, · · · , n} are independent of {Yjk, j = 1, · · · , p2; k = 1, · · · , n}. This p...
متن کاملInitial coefficients of starlike functions with real coefficients
The sharp bounds for the third and fourth coefficients of Ma-Minda starlike functions having fixed second coefficient are determined. These results are proved by using certain constraint coefficient problem for functions with positive real part whose coefficients are real and the first coefficient is kept fixed. Analogous results are obtained for a general class of close-to-convex functions
متن کاملNew Error Coefficients for Estimating Quadrature Errors for Analytic Functions
Since properly normalized Chebyshev polynomials of the first kind T„(z) satisfy (?„, ?„) = [ f,(z)7ÜÖ |1 z2\~TM\dz\ = Smn for ellipses ep with foci at ± 1, any function analytic in ep has an expansion,/(z) = J3 anfn{z) with a„ = (/, Tn). Applying the integration error operator E yields E(J) = 2~Z a„E(Tn)Applying the Cauchy-Schwarz inequality to E(J) leads to the inequality |£CDIsá Z W¿2\E(Tn)\2...
متن کاملAutocorrelation Coefficients and Correlation Immunity of Boolean Functions
We apply autocorrelation and Walsh coefficients for the investigation of correlation immune and resilient Boolean functions. We prove new lower bound for the absolute indicator of resilient functions that improves significantly (for m > (n − 3)/2) the bound of Zheng and Zhang [18] on this value. We prove new upper bound for the number of nonlinear variables in high resilient Boolean function. T...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1985
ISSN: 0024-3795
DOI: 10.1016/0024-3795(85)90050-3