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Page 6476 of Mathematical Reviews Vol. , Issue 98J [page]

1998 Mathematical Reviews  
Methods Statist. 5 (1996), no. 4, 383-403. The problem of the second-order minimax asymptotic estimation of an unknown distribution function is considered.  ...  Statist. Theory Methods 26 (1997), no.9, 2093-2111. Summary: “This paper presents a unified study of smoothing ten- sor product piecewise polynomials as tensor product polynomial splines.  ... 

Page 5977 of Mathematical Reviews Vol. , Issue 2002H [page]

2002 Mathematical Reviews  
Statist. Theory Methods 30 (2001), no. 10, 2033-2044.  ...  Statist. Theory Methods 30 (2001), no. 10, 2079-2097. Summary: “Consider the estimation of the regression parameters in the usual linear model.  ... 

Page 7580 of Mathematical Reviews Vol. , Issue 95m [page]

1995 Mathematical Reviews  
Summary: “The bias of kernel methods based on local constant fits can have an adverse effect when the derivative of the marginal density or that of the regression function is large.  ...  (NL-LIMB-EC; Maastricht) Kernel estimators of integrated squared density derivatives in non-smooth cases. (English summary) Asymptotic statistics (Prague, 1993), 213-224, Contrib.  ... 

Page 582 of Mathematical Reviews Vol. , Issue 2000a [page]

2000 Mathematical Reviews  
We analyze its rates of convergence and we provide some asymptotic distribution theory.  ...  (English summary) Asymptotic methods in probability and statistics (Ottawa, ON, 1997), 595-609, North-Holland, Amsterdam, 1998.  ... 

Page 7998 of Mathematical Reviews Vol. , Issue 98M [page]

1998 Mathematical Reviews  
Statist. Theory Methods 26 (1997), no. 1, 197-220.  ...  This assumption allows us to choose a family of kernels in an optimal way and the resulting procedure appears 62 STATISTICS 7998 to be asymptotically optimal in the adaptive sense in any range of adaptation  ... 

Page 3683 of Mathematical Reviews Vol. , Issue 96f [page]

1996 Mathematical Reviews  
Asymptotic normality under the Koziol-Green model. (English summary) Comm. Statist. Theory Methods 24 (1995), no. 6, 1537-1549.  ...  P. (5-NSWMG; Sydney) Local polynomial kernel regression for generalized linear models and quasi-likelihood functions. (English summary) J. Amer. Statist. Assoc. 90 (1995), no. 429, 141-150.  ... 

Page 1630 of Mathematical Reviews Vol. , Issue 91C [page]

1991 Mathematical Reviews  
We obtain a representation of 7, in the form of a U-statistic with a variable kernel and then, using the results from the theory of U-statistics, we find the rate of decrease of the variance of the global  ...  -G. (1-CAD-S) On the optimality of a class of polynomial kernel functions. Statist. Decisions 7 (1989), no. 4, 301-312.  ... 

Page 4027 of Mathematical Reviews Vol. , Issue 2004e [page]

2004 Mathematical Reviews  
No. 64 (2001), 92-101; translation in Theory Probab. Math. Statist. No. 64 (2002), 105-115. The author considers a model for sampling a mixture of several distributions.  ...  The asymptotic bias and variance, consistency and asymptotic distri- bution of the proposed estimators are established.  ... 

Page 1980 of Mathematical Reviews Vol. , Issue 99c [page]

1991 Mathematical Reviews  
The nonparametric com- ponent is estimated via local polynomials with local or kernel weighting; asymptotic theory is derived for the latter.  ...  The same philosophy is used in estimating the bias of the nonparametric function; that is, an empirical method is used without deriving asymptotic theory on a case-by-case basis.  ... 

Page 1101 of Mathematical Reviews Vol. , Issue 98B [page]

1998 Mathematical Reviews  
Asymptotic normality of the multiscale wavelet density estimator. (English summary) Comm. Statist. Theory Methods 25 (1996), no. 9, 1957-1970.  ...  Methods Statist. 5 (1996), no. 3, 275-298. The author studies statistical properties of a kernel estimate of the underlying densities for multisample selection biased mod- els.  ... 

Page 5041 of Mathematical Reviews Vol. , Issue 2000g [page]

2000 Mathematical Reviews  
Statist. 20 (1992), no. 2, 737-761; MR 94a:62060] and by Qiu [Comm. Statist. Theory Methods 23 (1994), no. 8, 2141-2155; MR 95e:62049].  ...  Asymptotic properties, such as consistency, rates of convergence and asymptotic mean squared errors, are established for kernel estimators, a special case of the local polynomials.  ... 

Page 4701 of Mathematical Reviews Vol. , Issue 94h [page]

1994 Mathematical Reviews  
A small simulation study comparing many methods for three types of densities using a normal kernel gives an impression about the relevance of the asymptotic results for sample size n = 100.  ...  In this paper we extend this theory of polynomial smoothing spline ANOVA models to include variables which take values in Euclidean k-space, and fits which turn out to include sums and products of both  ... 

Page 7026 of Mathematical Reviews Vol. , Issue 92m [page]

1992 Mathematical Reviews  
Statist. Theory Methods 21 (1992), no. 1, 69-88. Summary: “An approach for removing boundary bias in nonpara- metric density estimation is considered.  ...  B. (1-CLEM) Nonparametric estimation of the percentile residual life function. Comm. Statist. Theory Methods 20 (1991), no. 1, 87-105.  ... 

Page 2172 of Mathematical Reviews Vol. , Issue 93d [page]

1993 Mathematical Reviews  
A local Bahadur-type representation is developed to deal with the asymptotic theory, since the abandonment of squared-error loss entails abandonment of standard asymptotic theory based on linear functions  ...  The author constructs finite-order kernels from an initial kernel (a density function), and from reproducing kernels; he shows that estimates of the density (from an i.i.d. sample) based on such kernels  ... 

Page 2902 of Mathematical Reviews Vol. , Issue 95e [page]

1995 Mathematical Reviews  
Statist. Theory Methods 23 (1994), no. 9, 2671-2682.  ...  Theory Methods 23 (1994), no. 8, 2141-2155. Summary: “This paper suggests an estimator of the number of jumps of the jump regression functions.  ... 
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