Rosenblatt, M. (1956) \remarks on Some Nonparametric Estimates of a Density Function,"
نویسنده
چکیده
منابع مشابه
Nonparametric estimation of long-tailed density functions and its application to the analysis of World Wide Web traffic
The study of WWW-traffic measurements has shown that different traffic characteristics can be modeled by long-tail distributed random variables (r.v.s). In this paper we discuss the nonparametric estimation of the probability density function of long-tailed distributions. Two nonparametric estimates, a Parzen–Rosenblatt kernel estimate and a histogram with variable bin width called polygram, ar...
متن کاملNew Terrain in the Mode Forest
The mode tree of Minnotte and Scott (1993) provides a valuable method of investigating features such as modes and bumps in a unknown density. By examining kernel density estimates for a range of bandwidths, we can learn a lot about the structure of a data set. Unfortunately, the basic mode tree can be strongly aaected by small changes in the data, and gives no way to diierentiate between import...
متن کاملSome remarks on generalizations of classical prime submodules
Let $R$ be a commutative ring with identity and $M$ be a unitary $R$-module. Suppose that $phi:S(M)rightarrow S(M)cup lbraceemptysetrbrace$ be a function where $S(M)$ is the set of all submodules of $M$. A proper submodule $N$ of $M$ is called an $(n-1, n)$-$phi$-classical prime submodule, if whenever $r_{1},ldots,r_{n-1}in R$ and $min M$ with $r_{1}ldots r_{n-1}min Nsetminusphi(N)$, then $r_{1...
متن کاملSOME REMARKS ON WEAKLY INVERTIBLE FUNCTIONS IN THE UNIT BALL AND POLYDISK
We will present an approach to deal with a problem of existence of (not) weakly invertible functions in various spaces of analytic functions in the unit ball and polydisk based on estimates for integral operators acting between functional classes of different dimensions.
متن کاملNonparametric confidence bands in deconvolution density estimation
Uniform confidence bands for densities f via nonparametric kernel estimates were first constructed by Bickel and Rosenblatt [Ann. Statist. 1, 1071–1095]. In this paper this is extended to confidence bands in the deconvolution problem g = f ∗ ψ for an ordinary smooth error density ψ. Under certain regularity conditions, we obtain asymptotic uniform confidence bands based on the asymptotic distri...
متن کامل