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Stats, Volume 4, Issue 1

2021 March - 16 articles

Cover Story: The Nadaraya–Watson kernel estimator is among the most popular non-parameteric regression techniques thanks to its simplicity. Its asymptotic bias was studied by Rosenblatt in 1969 and has been reported in several related works. However, its asymptotic nature gives no access to a hard bound. The increasing popularity of predictive tools for automated decision-making increases the need for hard guarantees. To alleviate this issue, a novel non-probabilistic upper bound of the bias is proposed, which relies on Lipschitz assumptions and mitigates some of Rosenblatt’s analysis prerequisites. The upper bound holds for a large class of kernels, designs, regression functions, admits finite bandwidths, and is tight even with large second derivatives of the regression function—where Rosenblatt’s analysis typically fails. View this paper
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Articles (16)

  • Article
  • Open Access
5 Citations
4,043 Views
12 Pages

17 March 2021

The testing of high-dimensional normality is an important issue and has been intensively studied in the literature, it depends on the variance–covariance matrix of the sample and numerous methods have been proposed to reduce its complexity. Principle...

  • Article
  • Open Access
2 Citations
2,187 Views
11 Pages

A Viable Approach to Mitigating Irreproducibility

  • David Trafimow,
  • Tonghui Wang and
  • Cong Wang

8 March 2021

In a recent article, Trafimow suggested the usefulness of imagining an ideal universe where the only difference between original and replication experiments is the operation of randomness. This contrasts with replication in the real universe where sy...

  • Article
  • Open Access
14 Citations
3,891 Views
22 Pages

4 March 2021

Multivariate nonnegative orthant data are real vectors bounded to the left by the null vector, and they can be continuous, discrete or mixed. We first review the recent relative variability indexes for multivariate nonnegative continuous and count di...

  • Feature Paper
  • Article
  • Open Access
2 Citations
3,510 Views
21 Pages

An FDA-Based Approach for Clustering Elicited Expert Knowledge

  • Carlos Barrera-Causil,
  • Juan Carlos Correa,
  • Andrew Zamecnik,
  • Francisco Torres-Avilés and
  • Fernando Marmolejo-Ramos

4 March 2021

Expert knowledge elicitation (EKE) aims at obtaining individual representations of experts’ beliefs and render them in the form of probability distributions or functions. In many cases the elicited distributions differ and the challenge in Bayesian i...

  • Article
  • Open Access
2,839 Views
16 Pages

Assessment of Climate Change in Italy by Variants of Ordered Correspondence Analysis

  • Assuntina Cembalo,
  • Rosaria Lombardo,
  • Eric J. Beh,
  • Gianpaolo Romano,
  • Michele Ferrucci and
  • Francesca M. Pisano

1 March 2021

This paper explores climate changes in Italy over the last 30 years. The data come from the European observation gridded dataset and are concerned with the temperature throughout the country. We focus our attention on two Italian regions (Lombardy in...

  • Article
  • Open Access
2,378 Views
8 Pages

20 February 2021

In this paper, we present the Cumulative Median Estimation (CUMed) algorithm for robust sufficient dimension reduction. Compared with non-robust competitors, this algorithm performs better when there are outliers present in the data and comparably wh...

  • Article
  • Open Access
2 Citations
2,301 Views
16 Pages

13 February 2021

Dynamics of neural fields are tools used in neurosciences to understand the activities generated by large ensembles of neurons. They are also used in networks analysis and neuroinformatics in particular to model a continuum of neural networks. They a...

  • Article
  • Open Access
5 Citations
3,141 Views
20 Pages

4 February 2021

The distance constrained maximum likelihood procedure (DCML) optimally combines a robust estimator with the maximum likelihood estimator with the purpose of improving its small sample efficiency while preserving a good robustness level. It has been p...

  • Article
  • Open Access
2 Citations
2,743 Views
15 Pages

Fusing Nature with Computational Science for Optimal Signal Extraction

  • Hossein Hassani,
  • Mohammad Reza Yeganegi and
  • Xu Huang

19 January 2021

Fusing nature with computational science has been proved paramount importance and researchers have also shown growing enthusiasm on inventing and developing nature inspired algorithms for solving complex problems across subjects. Inevitably, these ad...

  • Article
  • Open Access
6 Citations
4,788 Views
16 Pages

13 January 2021

The extended situational teaching model is a variation of situational teaching, which itself has roots in situational leadership. Application of situational leadership in education requires the teacher to lead students through various stages of the l...

  • Article
  • Open Access
4 Citations
5,834 Views
9 Pages

A Statistical Approach to Analyzing Engineering Estimates and Bids

  • Roshanak Farshidpour,
  • Kiana Negoro and
  • Fariborz M. Tehrani

13 January 2021

This paper introduces a methodology to assess the accuracy of engineering estimates in relation to the final project cost. The objective of this assessment is to develop a comprehensive approach towards obtaining a more reliable estimate of the proje...

  • Article
  • Open Access
20 Citations
3,663 Views
18 Pages

Kumaraswamy Generalized Power Lomax Distributionand Its Applications

  • Vasili B.V. Nagarjuna,
  • R. Vishnu Vardhan and
  • Christophe Chesneau

7 January 2021

In this paper, a new five-parameter distribution is proposed using the functionalities of the Kumaraswamy generalized family of distributions and the features of the power Lomax distribution. It is named as Kumaraswamy generalized power Lomax distrib...

  • Article
  • Open Access
11 Citations
4,765 Views
10 Pages

6 January 2021

We present the first general formulas for the central and non-central moments of the multinomial distribution, using a combinatorial argument and the factorial moments previously obtained in Mosimann (1962). We use the formulas to give explicit expre...

  • Article
  • Open Access
3 Citations
6,534 Views
17 Pages

30 December 2020

The Nadaraya-Watson kernel estimator is among the most popular nonparameteric regression technique thanks to its simplicity. Its asymptotic bias has been studied by Rosenblatt in 1969 and has been reported in several related literature. However, give...

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Stats - ISSN 2571-905X