Abstract: Density weighted average is a nonparametric quantity expressed by expectation of a function of random variables with density weight. It is associated with parametric components of some semiparametric models, and we are concerned with an estimator of this quantity. Asymptotic properties of semiparametric estimators have been studied in econometrics since the end of 1980’s and it is now...

An m-colored digraph is a digraph whose arcs are colored with m colors. A directed path is monochromatic when its arcs are colored alike. A set S ⊆ V (D) is a kernel by monochromatic paths whenever the two following conditions hold: 1. For any x, y ∈ S, x 6= y, there is no monochromatic directed path between them. 2. For each z ∈ (V (D)− S) there exists a zS-monochromatic directed path. In this...

abstract the present research was conducted in a commercial orchard of pistachio during 2006-2007 in rafsanjan, iran. gibberellic acid (ga3) were applied at 0, 25, 50 and 75 mgl-1 and at three time of spray (the first of june, july and august) on “ahmad-aghai” pistachio cultivar. two branches of each tree was sprayed during two years of study. spraying at june had least of early splitting. ga3 ...

may be reduced to a single linear integral equation whose kernel is defined on a^x^a+n(b — a), a^s^a+n(b — a). Greggi§ considered a system of the form (1) and by use of the transformation introduced by Fredholm showed the form of the resolvent matrix for the system; for the symmetric system where Ku(x; s) =Kn(s; x) (i,j = \,2, ■ ■ ■ , n) he also stated theorems analogous to those proved by Schm...

In this paper, by introducing a nonnegative kernel function H(t, s), some oscillation criteria for a forced second-order dynamic equation on time scales are given. AMS Subject Classifications: 34K11, 34C10, 93C70.

Several important natural compounds, nutraceuticals–including vitamin E (tocotrienols, tocopherols) and oryzanols–have been shown to have important health benefits and are found in rice bran. This study was conducted to provide information regarding levels of these nutraceuticals within the rice kernel based on bran collected from successive milling but also to determine the level of nutraceuti...

We summarize, review and comment upon three papers which discuss the use of discrete, noisy, incomplete, scattered pairwise dissimilarity data in statistical model building. Convex cone optimization codes are used to embed the objects into a Euclidean space which respects the dissimilarity information while controlling the dimension of the space. A "newbie" algorithm is provided for embedding n...

Kernel-based clustering algorithms can identify and capture the nonlinear structure in datasets, thereby achieving better performance than linear clustering. However, large amount of memory involved computing storing entire kernel matrix makes it difficult for kernel-based to handle large-scale datasets. In this study, we prove that an incomplete Cholesky factorization (InCF) generate approxima...

to evaluate the morphological diversity of some almond cultivars and genotypes, an experiment was carried out on 55 iranian and foreign genotypes. twenty-nine quantitative and qualitative characteristics of nuts and kernels as well as 4 phenotypic characteristics of almond trees were evaluated. analysis of variance and means comparisons indicated that all the characteristics of the examined cul...

• Many kernel-based learning algorithms have the computational load. • The Nyström low-rank approximation is designed for reducing the computation. • We propose the spectrum decomposition condition with a theoretical justification. • Asymptotic error bounds on eigenvalues and eigenvectors are derived. • Numerical experiments are provided for covariance kernel and Wishart matrix. AMS subject cla...