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1983•Communication in Statistics- Theory and MethodsRequires access

A target distribution model for nonparametric density estimation

C.D. Elphinstone

Open publisher page 16 citations

Abstract

In this paper a model is proposed which represents a wide class of continuous distributions. It is shown how the parameters of this model can be estimated leading to a distribution estimator and a corresponding density estimator. An important property of this estimator is that it can be structured to reflect a priori knowledge of the unknown distribution. Finally, some examples are shown and some comparisons made with kernel and orthogonal series estimators.

About this research paper

What this paper is about

In this paper a model is proposed which represents a wide class of continuous distributions. It is shown how the parameters of this model can be estimated leading to a distribution estimator and a corresponding density estimator. An important property of this estimator is that it can be structured to reflect a priori knowledge of the unknown distribution. Finally, some examples are shown and some comparisons made with kernel and orthogonal series estimators.

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OpenAlex reports 16 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper a model is proposed which represents a wide class of continuous distributions. It is shown how the parameters of this model can be estimated leading to a distribution estimator and a corresponding density estimator. An important property of this estimator is that it can be structured to reflect a priori knowledge of the unknown distribution. Finally, some examples are shown and some comparisons made with kernel and orthogonal series estimators.

Key concepts: Estimator, Kernel density estimation, Mathematics, A priori and a posteriori, Applied mathematics, Kernel (algebra), Nonparametric statistics, Distribution (mathematics)

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