In this thesis, we discuss the problem of estimating a characteristic function and its derivatives. We obtain estimates which are consistent and asympototically normal, and uniformly consistent with probability one. The methods employed here are similar to the methods used in estimating a probability density function and its derivatives (see [7], [9] for references).Science, Faculty ofMathematics, Department ofGraduat
Estimators of derivatives of a density function based on differences of the empirical distribution f...
The value of a characteristic function of a random vari-able X at some real number t is the center o...
A general procedure of parametric estimation is proposed for distributions having characteristic fun...
The theory of Fourier transforms of generalized functions is used to extract general formulas for th...
The theory of Fourier transforms of generalized functions is used to extract general formulas for th...
Let θ̂n(x) be an estimator of a smooth function θ(x). It is proved that θ(x) can be estimated easier...
Includes bibliographical references.This paper is concerned with a particularly useful function of p...
Characteristic Functions (cf) have been used to establish the convergence of several independent and...
AbstractBased on a random sample from a population with (unknown) probability density f, this note e...
We develop a general approach to estimating the derivative of a function-valued parameter θo(u) that...
We develop a general approach to estimating the derivative of a function-valued parameter θo(u) that...
We develop a general approach to estimating the derivative of a function-valued parameter θo(u) that...
International audienceIn many applications, the estimation of derivatives has to be done from noisy ...
Characteristic functions (CFs) are often used in problems involving convergence in distribution, ind...
We propose here a variant of kernel estimators for weighted average derivative. We investigate also ...
Estimators of derivatives of a density function based on differences of the empirical distribution f...
The value of a characteristic function of a random vari-able X at some real number t is the center o...
A general procedure of parametric estimation is proposed for distributions having characteristic fun...
The theory of Fourier transforms of generalized functions is used to extract general formulas for th...
The theory of Fourier transforms of generalized functions is used to extract general formulas for th...
Let θ̂n(x) be an estimator of a smooth function θ(x). It is proved that θ(x) can be estimated easier...
Includes bibliographical references.This paper is concerned with a particularly useful function of p...
Characteristic Functions (cf) have been used to establish the convergence of several independent and...
AbstractBased on a random sample from a population with (unknown) probability density f, this note e...
We develop a general approach to estimating the derivative of a function-valued parameter θo(u) that...
We develop a general approach to estimating the derivative of a function-valued parameter θo(u) that...
We develop a general approach to estimating the derivative of a function-valued parameter θo(u) that...
International audienceIn many applications, the estimation of derivatives has to be done from noisy ...
Characteristic functions (CFs) are often used in problems involving convergence in distribution, ind...
We propose here a variant of kernel estimators for weighted average derivative. We investigate also ...
Estimators of derivatives of a density function based on differences of the empirical distribution f...
The value of a characteristic function of a random vari-able X at some real number t is the center o...
A general procedure of parametric estimation is proposed for distributions having characteristic fun...