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Stats, Volume 6, Issue 4

December 2023 - 23 articles

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Cover Story: Although large sample size (n) data are generally viewed as a blessing for yielding more precise and reliable evidence, it is often overlooked that such gains are contingent upon certain conditions being met. The primary condition is the statistical adequacy of the invoked statistical model Mθ(x). For a statistically adequate Mθ(x) and a given significance level α, as n increases, the power of a test increases and the p-value decreases, due to the inherent trade-off between type I and type II error probabilities. This raises concerns about the veracity of declaring ‘statistical significance’ using α = 0.05, 0.025, 0.01, when n is very large. This problem can be addressed using the post-data severity evaluation of the testing results, which converts them into evidence for germane inferential claims. View this paper

Articles (23)

  • Article
  • Open Access
3,792 Views
32 Pages

12 December 2023

In this paper, we conducted an empirical investigation of the realized volatility of cryptocurrencies using an econometric approach. This work’s two main characteristics are: (i) the realized volatility to be forecast filters jumps, and (ii) th...

  • Article
  • Open Access
2 Citations
4,168 Views
16 Pages

5 December 2023

Although large data sets are generally viewed as advantageous for their ability to provide more precise and reliable evidence, it is often overlooked that these benefits are contingent upon certain conditions being met. The primary condition is the a...

  • Article
  • Open Access
3 Citations
2,246 Views
27 Pages

Process Monitoring Using Truncated Gamma Distribution

  • Sajid Ali,
  • Shayaan Rajput,
  • Ismail Shah and
  • Hassan Houmani

1 December 2023

The time-between-events idea is commonly used for monitoring high-quality processes. This study aims to monitor the increase and/or decrease in the process mean rapidly using a one-sided exponentially weighted moving average (EWMA) chart for the dete...

  • Article
  • Open Access
2,478 Views
18 Pages

Social Response and Measles Dynamics

  • Atinuke O. Adebanji,
  • Franz Aschl,
  • Ednah Chepkemoi Chumo,
  • Emmanuel Odame Owiredu,
  • Johannes Müller and
  • Tukae Mbegalo

29 November 2023

Measles remains one of the leading causes of death among young children globally, even though a safe and cost-effective vaccine is available. Vaccine hesitancy and social response to vaccination continue to undermine efforts to eradicate measles. In...

  • Article
  • Open Access
3 Citations
2,664 Views
20 Pages

The Logistic Burr XII Distribution: Properties and Applications to Income Data

  • Renata Rojas Guerra,
  • Fernando A. Peña-Ramírez and
  • Gauss M. Cordeiro

21 November 2023

We define and study the four-parameter logistic Burr XII distribution. It is obtained by inserting the three-parameter Burr XII distribution as the baseline in the logistic-X family and may be a useful alternative method to model income distribution...

  • Article
  • Open Access
2 Citations
2,645 Views
19 Pages

Self-Organizing Topological Multilayer Perceptron: A Hybrid Method to Improve the Forecasting of Extreme Pollution Values

  • Javier Linkolk López-Gonzales,
  • Ana María Gómez Lamus,
  • Romina Torres,
  • Paulo Canas Rodrigues and
  • Rodrigo Salas

11 November 2023

Forecasting air pollutant levels is essential in regulatory plans focused on controlling and mitigating air pollutants, such as particulate matter. Focusing the forecast on air pollution peaks is challenging and complex since the pollutant time serie...

  • Article
  • Open Access
3 Citations
2,050 Views
15 Pages

On Underdispersed Count Kernels for Smoothing Probability Mass Functions

  • Célestin C. Kokonendji,
  • Sobom M. Somé,
  • Youssef Esstafa and
  • Marcelo Bourguignon

4 November 2023

Only a few count smoothers are available for the widespread use of discrete associated kernel estimators, and their constructions lack systematic approaches. This paper proposes the mean dispersion technique for building count kernels. It is only app...

  • Article
  • Open Access
2,341 Views
28 Pages

2 November 2023

In this paper, we compare the effects of forecasting demand using individual (disaggregated) components versus first aggregating the components either fully or into several clusters. Demand streams are assumed to follow autoregressive moving average...

  • Article
  • Open Access
1,889 Views
19 Pages

1 November 2023

We address an inference issue where the value of a covariate is measured at the date of the survey but is used to explain behavior that has occurred long before the survey. This causes bias because the value of the covariate does not follow the tempo...

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