Approximate and Asymptotic Distributions of Chi-Squared–Type Mixtures With Applications

112 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

One‐Way anova for Functional Data via Globalizing the Pointwise F‐test (2014, background): “Proposition 1 shows that the asymptotical distribution of Tn under the null hypothesis (2) is the same as that of a central 2-type mixture (Zhang, 2005), which is known except the unknown eigenvalues r ; r D 1; 2; ;1 of w.s; t/.”
A Simple Two-Sample Test in High Dimensions Based on L2-Norm (2020, methodology): “By Theorem 1(a) of Zhang (2005), the uniform error bound of the normal approximation to the distribution of Tp,0 is O(1/ √ d∗).”
Statistical inferences for functional data (2007, methodology): “CHEN In the χ2-approximation method, the distribution of S is approximated by that of a random variable R = αχ(2)d + β via matching the first three cumulants of R and S to determine the unknown parameters α,d and β [5, 29].”