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Sieve inference on . . .
, 2012
"... The method of sieves has been widely used in estimating semiparametric and nonparametric models. In this paper, we first provide a general theory on the asymptotic normality of plugin sieve M estimators of possibly irregular functionals of semi/nonparametric time series models. Next, we establish a ..."
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The method of sieves has been widely used in estimating semiparametric and nonparametric models. In this paper, we first provide a general theory on the asymptotic normality of plugin sieve M estimators of possibly irregular functionals of semi/nonparametric time series models. Next, we establish
Large Sample Sieve Estimation of SemiNonparametric Models
 Handbook of Econometrics
, 2007
"... Often researchers find parametric models restrictive and sensitive to deviations from the parametric specifications; seminonparametric models are more flexible and robust, but lead to other complications such as introducing infinite dimensional parameter spaces that may not be compact. The method o ..."
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Cited by 185 (19 self)
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extremum estimates, convergence rates of the sieve Mestimates, pointwise normality of series estimates of regression functions, rootn asymptotic normality and efficiency of sieve estimates of smooth functionals of infinite dimensional parameters. Examples are used to illustrate the general results.
On the Small Sieve. I. Sifting by Primes
, 1978
"... The main object of the paper is to prove that if P is a set of primes with sum of reciprocals _<K, then the number of natural numbers up to x, divisible by no element of P, is _>cx, where c is a positive constant depending only on K. A lower estimate is given for c and a similar result is achi ..."
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Cited by 1 (0 self)
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The main object of the paper is to prove that if P is a set of primes with sum of reciprocals _<K, then the number of natural numbers up to x, divisible by no element of P, is _>cx, where c is a positive constant depending only on K. A lower estimate is given for c and a similar result
An Evaluation of the Sieving Device YASD for 1024bit Integers?
"... Abstract. In 2004, Geiselmann and Steinwandt proposed a hardware design “YASD ” for the sieving step in the number field sieve (NFS) method of integer factorization. This design is very attractive since its regular structure is suitable for implementation, however, its performance evaluation for 10 ..."
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for 1024bit integers was not studied. This paper attempts to evaluate the performance of YASD for 1024bit integers based on the same assumptions of the orginal YASD. In our estimation, YASD for 1024bit integers requires at least 16 years with cost 10M dollars. 1
A SIEVE MTHEOREM FOR BUNDLED PARAMETERS IN SEMIPARAMETRIC MODELS, WITH APPLICATION TO THE EFFICIENT ESTIMATION IN A LINEAR MODEL FOR CENSORED DATA
"... In many semiparametric models that are parameterized by two types of parameters—a Euclidean parameter of interest and an infinitedimensional nuisance parameter—the two parameters are bundled together, that is, the nuisance parameter is an unknown function that contains the parameter of interest as ..."
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Cited by 6 (3 self)
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as part of its argument. For example, in a linear regression model for censored survival data, the unspecified error distribution function involves the regression coefficients. Motivated by developing an efficient estimating method for the regression parameters, we propose a general sieve M
Abstract. We solve Landau’s four unattackable problems, including Goldbach Conjecture and Twin Prime Conjecture through sieve method. At the 1912 Fifth International Congress of Mathematicians (Cambridge),
, 1999
"... Prime Conjecture; for each n, there is a prime p such that n 2 < p < (n+1) 2; there are infinitely many primes p of the form p = n 2 +1. As Erdős [6, preface] maintained five years ago, we still do not have a satisfactory solution for each of them. For large N, let A = {m  m ∈ Z,m ≤ N}, P = { ..."
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= {p  p ∈ A,p prime}, and m = g(p) , (1) such that m ∈ A, m ̸ ∈ P0, p ∈ Pz = {p  p ∈ P,2 < p ≤ z < N}, P0 a desired set. A rudimentary sieve associated with Eratosthenes employs Feature M. Screening out m ̸ ∈ P through (1) by p ∈ P √ N. However, since its residue term is proportionate to card
Critical Evaluation of the Use of Laser Diffraction for ParticleSize Distribution Analysis
"... ABSTRACT �m) by wet sieving from the clay and silt (particles �50 Determination of soil particlesize distribution (PSD) by sieving, hydrometer, and pipette methods as well as by laser diffraction (LD) �m). The sand fraction is determined by drying and weighing the material remaining on the sieve. T ..."
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Cited by 20 (2 self)
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ABSTRACT �m) by wet sieving from the clay and silt (particles �50 Determination of soil particlesize distribution (PSD) by sieving, hydrometer, and pipette methods as well as by laser diffraction (LD) �m). The sand fraction is determined by drying and weighing the material remaining on the sieve
SemiNonparametric IntervalCensored Mixed Proportional Hazard Models: Identification and Consistency Results”, Econometric Theory 24
, 2008
"... In this paper I propose to estimate distributions on the unit interval seminonparametrically using orthonormal Legendre polynomials. This approach will be applied to the interval censored mixed proportional hazard (ICMPH) model, where the distribution of the unobserved heterogeneity is modeled semi ..."
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Cited by 12 (6 self)
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seminonparametrically. Various conditions for the nonparametric identification of the ICMPH model are derived. I will prove general consistency results for M estimators of (partly) nonEuclidean parameters under weak and easytoverify conditions, and specialize these results to sieve estimators
Lectures on Statistical Learning Theory
, 2000
"... art. From model selection to adaptive estimation. In E. Torgersen D. Pollard and G. Yang, editors, Festschrift for Lucien Le Cam: Research papers in Probability and Statistics, pages 5587. Springer, New York, 1997. [78] L. Birg and P. Massart. Minimum contrast estimators on sieves: exponential bound ..."
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and C.R. Hwang. Nonparametric maximum likelihood estimation by the method of sieves. Annals of Statistics, 10:401414, 1982. [82] M. Kearns, Y. Mansour, A.Y. Ng, and D. Ron. An experimental and theoretical comparison of model selection methods. In Proceedings of the Eighth Annual ACM Workshop
Low Density Lipoproteins of Chicken, Turkey and Quail Egg Yolk
, 1972
"... ABSTRACT The major low density lipoprotein fraction (LDF) of chicken, turkey, and quail egg yolk has been isolated by preparative centrifugation and the molecular weight estimated by molecular sieve chromatography. In addition, rate zonal density gradient centrifugation has been used to examine the ..."
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ABSTRACT The major low density lipoprotein fraction (LDF) of chicken, turkey, and quail egg yolk has been isolated by preparative centrifugation and the molecular weight estimated by molecular sieve chromatography. In addition, rate zonal density gradient centrifugation has been used to examine
Results 1  10
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