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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. ...

##
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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. ...

##
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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. ...##
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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. ...##
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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 ...

##
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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. ...

##
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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. ...##
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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. ...##
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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. ...

##
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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*. ...

##
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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. ...

##
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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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