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Department of Statistics, Faculty of Mathematical Sciences, Shahrood University of Technology, Iran
Abstract:   (31 Views)
In the present article, we develop the well-known preliminary test and Stein-type estimators for the probability density function under the association. In this respect, we derive the asymptotic characteristics of the proposed estimators under a set of local alternatives. Some numerical studies are provided for supporting the findings. The result of this article improves the kernel estimate of the marginal probability density function of a strictly stationary sequence of associated random variables. For practical sake, the behavior of the proposed estimators is also analyzed using a real data set.
Type of Study: Original Paper | Subject: 62Gxx: Nonparametric inference
Received: 2018/09/18 | Accepted: 2019/05/24

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