On asymptotic normality form-dependentU-statistics
نویسندگان
چکیده
منابع مشابه
Asymptotic Normality of Statistics on Permutation Tableaux
Abstract. In this paper we use a probabilistic approach to derive the expressions for the characteristic functions of basic statistics defined on permutation tableaux. Since our expressions are exact, we can identify the distributions of basic statistics (like the number of unrestricted rows, the number of rows, and the number of 1s in the first row) exactly. In all three cases the distribution...
متن کاملAsymptotic Normality of Graph Statistics
Various types of graph statistics for Bernoulli graphs are represented as numerators of incomplete U-statistics. Asymptotic normality of these statistics is proved for Bernoulli graphs in which the edge probability is constant. In addition it is shown that subgraph counts asymptotically are linear functions of the number of edges in the graph. AMS Subject Classification: Primary 05C99; Secondar...
متن کاملAsymptotic Normality of U -Quantile-Statistics
In 1948, W. Hoeffding introduced a large class of unbiased estimators called U -statistics, defined as the average value of a real-valued m-variate function h calculated at all possible sets of m points from a random sample. In the present paper, we investigate the corresponding robust analogue which we call U -quantile-statistics. We are concerned with the asymptotic behavior of the sample p-q...
متن کاملAsymptotic Normality of Some Graph-Related Statistics
Petrovskaya and Leontovich (1982) proved a central limit theorem for sums of dependent random variables indexed by a graph. We apply this theorem to obtain asymptotic normality for the number of local maxima of a random function on certain graphs and for the number of edges having the same color at both endpoints in randomly colored graphs. We briefly motivate these problems, and conclude with ...
متن کاملOn the Asymptotic Normality of Fourier Flexible Form Estimates
Rates of increase in the number of parameters of a Fourier factor demand system that imply asymptotically normal elasticity estimates are characterized. The main technical problem in achieving this characterization is caused by the fact that the eigenvalues of the sample sum of squares and cross products matrix of the generalized least squares estimator are not bounded from below. This problem ...
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: International Journal of Mathematics and Mathematical Sciences
سال: 1988
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171288000225