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2,559 Results Found

  • Review
  • Open Access
9 Citations
3,864 Views
13 Pages

17 July 2023

In this study, we present a thorough comparison of the performance of four different bootstrap methods for assessing the significance of causal analysis in time series data. For this purpose, multivariate simulated data are generated by a linear feed...

(This article belongs to the Special Issue Causality and Complex Systems)
  • Article
  • Open Access
1 Citations
1,759 Views
16 Pages

9 September 2025

Typically, the traditional bootstrap methods for parameter inference of spatial error models suffer from high computational costs, so this study proposes fast cluster bootstrap methods for spatial error models to deal with the dilemma. The key idea i...

(This article belongs to the Section D: Statistics and Operational Research)
  • Article
  • Open Access
5 Citations
2,917 Views
12 Pages

5 December 2020

LiDAR inventories were carried out to estimate the mean volume and variance in Eucalyptus globulus and Eucalyptus nitens stands. Uncertainty of the population estimates was examined using approximations based on the bootstrap method. Three methods we...

(This article belongs to the Section Forest Inventory, Modeling and Remote Sensing)
  • Article
  • Open Access
10 Citations
3,958 Views
11 Pages

4 November 2021

Exponential smoothing methods are one of the classical time series forecasting methods. It is well known that exponential smoothing methods are powerful forecasting methods. In these methods, exponential smoothing parameters are fixed on time, and th...

(This article belongs to the Special Issue Feature Papers of Forecasting 2021)
  • Article
  • Open Access
26 Citations
7,048 Views
24 Pages

15 February 2018

Rainfall stations of a certain number and spatial distribution supply sampling records of rainfall processes in a river basin. Uncertainty may be introduced when the station records are spatially interpolated for the purpose of hydrological simulatio...

(This article belongs to the Special Issue Integration of Advanced Soft Computing Techniques in Hydrological Predictions)
  • Article
  • Open Access
9 Citations
3,448 Views
20 Pages

23 October 2018

Electric load forecasting is indispensable for the effective planning and operation of power systems. Various decisions related to power systems depend on the future behavior of loads. In this paper, we propose a new input selection procedure, which...

(This article belongs to the Special Issue Machine Learning and Optimization with Applications of Power System)
  • Article
  • Open Access
2,026 Views
23 Pages

Bootstrap Methods for Correcting Bias in WLS Estimators of the First-Order Bifurcating Autoregressive Model

  • Tamer Elbayoumi,
  • Mutiyat Usman,
  • Sayed Mostafa,
  • Mohammad Zayed and
  • Ahmad Aboalkhair

5 September 2025

In this study, we examine the presence of bias in weighted least squares (WLS) estimation within the context of first-order bifurcating autoregressive (BAR(1)) models. These models are widely used in the analysis of binary tree-structured data, parti...

  • Article
  • Open Access
5 Citations
1,725 Views
19 Pages

Metrological Comparison of Indirect Calibration Methods for Nanoindentation: A Bootstrap-Based Approach

  • Giacomo Maculotti,
  • Lorenzo Giorio,
  • Gianfranco Genta and
  • Maurizio Galetto

19 September 2025

Area shape function and frame compliance are the most critical parameters in nanoindentation, as they control measurement accuracy and represent the largest contributions to measurement uncertainty. Despite the availability of direct calibration meth...

(This article belongs to the Section Advanced Nanomaterials and Nanotechnology)
  • Article
  • Open Access
41 Citations
21,948 Views
31 Pages

Bootstrap Methods for the Empirical Study of Decision-Making and Information Flows in Social Systems

  • Simon DeDeo,
  • Robert X. D. Hawkins,
  • Sara Klingenstein and
  • Tim Hitchcock

5 June 2013

We characterize the statistical bootstrap for the estimation of informationtheoretic quantities from data, with particular reference to its use in the study of large-scale social phenomena. Our methods allow one to preserve, approximately, the underl...

(This article belongs to the Special Issue Estimating Information-Theoretic Quantities from Data)
  • Article
  • Open Access
1 Citations
4,780 Views
22 Pages

7 August 2024

Accurately quantifying the threat of collapse due to the weight of settled snow on the roof of a structure is crucial for ensuring structural safety. This quantification relies upon direct measurements of the snow water equivalent (SWE) of settled sn...

  • Extended Abstract
  • Open Access
1,921 Views
4 Pages

17 September 2018

Bootstrap methods are used for bandwidth selection in: (1) nonparametric kernel density estimation with dependent data (smoothed stationary bootstrap and smoothed moving blocks bootstrap), and (2) nonparametric kernel hazard rate estimation (smoothed...

(This article belongs to the Proceedings of XoveTIC Congress 2018)
  • Article
  • Open Access
3 Citations
4,472 Views
30 Pages

12 September 2018

Almost sure bootstrap consistency of the blockwise bootstrap for the Average Value at Risk of single risks is established for strictly stationary β -mixing observations. Moreover, almost sure bootstrap consistency of a multiplier bootstrap...

  • Article
  • Open Access
32 Citations
6,558 Views
21 Pages

A Bootstrap Framework for Aggregating within and between Feature Selection Methods

  • Reem Salman,
  • Ayman Alzaatreh,
  • Hana Sulieman and
  • Shaimaa Faisal

6 February 2021

In the past decade, big data has become increasingly prevalent in a large number of applications. As a result, datasets suffering from noise and redundancy issues have necessitated the use of feature selection across multiple domains. However, a comm...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
1 Citations
1,068 Views
35 Pages

Ensemble Approach for Financial Time Series Modeling

  • Aveer Nannoolal and
  • Andries P. Engelbrecht

18 May 2026

This study provides a comprehensive evaluation of bagging ensemble models for financial time series (FTS) classification and addresses a gap in the literature regarding how bootstrap methods, ensemble sizes, voting mechanisms, and loss functions join...

  • Article
  • Open Access
4 Citations
1,713 Views
17 Pages

14 February 2025

The Chalk River Laboratories (CRL) site in Ontario, Canada, has long been a hub for nuclear research, which has resulted in the accumulation of legacy nuclear waste, including radioactive materials such as uranium, plutonium, and other radionuclides....

(This article belongs to the Special Issue Sensors and Extreme Environments)
  • Article
  • Open Access
1,366 Views
17 Pages

4 October 2025

Maximum likelihood estimation (MLE) in infinite mixture distributions often lacks closed-form solutions, requiring numerical methods such as the Newton–Raphson algorithm. Selecting appropriate initial values is a critical challenge in these pro...

  • Article
  • Open Access
9,002 Views
11 Pages

Parametric Inference for Index Functionals

  • Stéphane Guerrier,
  • Samuel Orso and
  • Maria-Pia Victoria-Feser

In this paper, we study the finite sample accuracy of confidence intervals for index functional built via parametric bootstrap, in the case of inequality indices. To estimate the parameters of the assumed parametric data generating distribution, we p...

(This article belongs to the Special Issue Econometrics and Income Inequality)
  • Article
  • Open Access
10 Citations
2,490 Views
26 Pages

23 November 2021

The point and interval estimations for the unknown parameters of an exponentiated half-logistic distribution based on adaptive type II progressive censoring are obtained in this article. At the beginning, the maximum likelihood estimators are derived...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
22 Citations
9,025 Views
20 Pages

6 June 2020

As a result of asymmetry in practical problems, the Lognormal distribution is more suitable for data modeling in biological and economic fields than the normal distribution, while biases of maximum likelihood estimators are regular of the order O...

  • Article
  • Open Access
23 Citations
6,036 Views
13 Pages

19 March 2018

The purpose of this paper is to compare the degree of uncertainty of the water scarcity footprint using the Monte Carlo statistical method and block bootstrap method. Using the hydrological data of a water drainage basin in Korea, characterization fa...

(This article belongs to the Section Water Use and Scarcity)
  • Article
  • Open Access
16 Citations
4,080 Views
16 Pages

Resampling Techniques for Real Estate Appraisals: Testing the Bootstrap Approach

  • Vincenzo Del Giudice,
  • Francesca Salvo and
  • Pierfrancesco De Paola

30 August 2018

Applied to real estate markets analysis, the resampling methods aim to contribute to the knowledge growth of real estate market dynamics, overcoming the issues related to the data scarcity and operational limits of traditional statistical theory. Amo...

(This article belongs to the Special Issue Real Estate Economics, Management and Investments)
  • Article
  • Open Access
655 Views
37 Pages

Machine Learning Hazard Estimation with Valid Bootstrap Inference for Generalized Progressive Hybrid Censoring

  • Sherif I. Ammar,
  • Faizah T. Alamri,
  • Faiza A. Althubyani and
  • Mahmoud H. Abu-Moussa

28 April 2026

Reliability studies frequently employ progressive censoring schemes that remove surviving units during testing, yet statistical inference under such designs remains vulnerable to parametric model misspecification. When distributional assumptions fail...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
10 Citations
4,608 Views
26 Pages

27 July 2024

This study delves into the application of Shannon entropy to analyze the long-term variability in climate data, specifically focusing on precipitation and temperature. By employing data from 1901 to 2010 across 377 catchments worldwide, we investigat...

(This article belongs to the Special Issue The Hydrologic Cycle in a Changing Climate)
  • Article
  • Open Access
1 Citations
1,737 Views
11 Pages

4 June 2024

Under the condition of non-classical distributed errors, the test for spatial dependence in spatial panel data models is still a problem waiting to be solved. In this paper, we apply the FDB (Fast Double Bootstrap) method to spatial panel data models...

  • Article
  • Open Access
2 Citations
799 Views
46 Pages

7 January 2026

The analysis of road traffic accidents often reveals asymmetric patterns, providing insights that support the development of preventive measures, reduce fatalities, and improve road safety interventions. The Rayleigh distribution, a continuous distri...

(This article belongs to the Special Issue Skewed (Asymmetrical) Probability Distributions and Applications Across Disciplines, Fourth Edition)
  • Article
  • Open Access
6 Citations
4,987 Views
22 Pages

Nutritional Inadequacy: Unraveling the Methodological Challenges for the Application of the Probability Approach or the EAR Cut-Point Method—A Pregnancy Perspective

  • Foteini Tsakoumaki,
  • Charikleia Kyrkou,
  • Apostolos P. Athanasiadis,
  • Georgios Menexes and
  • Alexandra-Maria Michaelidou

29 September 2021

The aim of this study was to unravel the methodological challenges when exploring nutritional inadequacy, involving 608 healthy pregnant women. The usual intake of twenty-one nutrients was recorded by employing a validated FFQ. Simulated datasets of...

(This article belongs to the Special Issue Nutrition Assessment Methodology: Current Update and Practice)
  • Article
  • Open Access
7 Citations
3,609 Views
14 Pages

23 December 2021

The process performance index (PPI) can be a simple metric to connect the conforming rate of products. The properties of the PPI have been well studied for the normal distribution and other widely used lifetime distributions, such as the Weibull, Gam...

(This article belongs to the Special Issue Recent Advances of Computational Statistics in Industry and Business II)
  • Article
  • Open Access
13 Citations
6,198 Views
16 Pages

28 September 2017

Over the past two decades, the Bootstrap AGGregatING (bagging) method has been widely used for improving simulation. The computational cost of this method scales with the size of the ensemble, but excessively reducing the ensemble size comes at the c...

(This article belongs to the Special Issue Information Theory in Machine Learning and Data Science)
  • Article
  • Open Access
20 Citations
3,657 Views
14 Pages

17 July 2020

In this paper, the reliability of a k-component system, in which all components are subject to common stress, is considered. The multicomponent system will continue to survive if at least s out of k components’ strength exceed the common stress...

(This article belongs to the Special Issue Statistical Simulation and Computation)
  • Article
  • Open Access
26 Citations
3,883 Views
24 Pages

24 January 2022

Inverted exponentiated Rayleigh distribution is a widely used and important continuous lifetime distribution, which plays a key role in lifetime research. The joint progressively type-II censoring scheme is an effective method used in the quality eva...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
2 Citations
2,353 Views
26 Pages

17 October 2022

Left-truncated and right-censored data are widely used in lifetime experiments, biomedicine, labor economics, and actuarial science. This article discusses how to resolve the problems of statistical inferences on the unknown parameters of the exponen...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
3 Citations
1,853 Views
23 Pages

6 November 2024

The aim of this research is to estimate the parameters of the modified Frechet-exponential (MFE) distribution using different methods when applied to progressive type-II censored samples. These methods include using the maximum likelihood technique a...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
7 Citations
3,317 Views
17 Pages

9 December 2019

In the era of sustainable agriculture, the issue of proper and precise implementation of agrotechnical operations, without harmful effects on the natural environment, begins to play an important role. Statistical tools also become important, for exam...

(This article belongs to the Special Issue Sustainable Production in Food and Agriculture Engineering)
  • Article
  • Open Access
12 Citations
5,594 Views
13 Pages

20 March 2018

Recently, the Entropy Ensemble Filter (EEF) method was proposed to mitigate the computational cost of the Bootstrap AGGregatING (bagging) method. This method uses the most informative training data sets in the model ensemble rather than all ensemble...

(This article belongs to the Special Issue Entropy Applications in Environmental and Water Engineering)
  • Article
  • Open Access
7 Citations
2,686 Views
16 Pages

13 September 2023

The aim of this study is to obtain the Bayes estimators and the maximum likelihood estimators (MLEs) for the unknown parameters of the Rayleigh–Weibull (RW) distribution based on progressive type-II censored samples. The approximate Bayes estim...

(This article belongs to the Special Issue Symmetry in Statistics and Data Science, Volume 2)
  • Article
  • Open Access
1,067 Views
28 Pages

12 August 2025

Life testing of products often requires extended observation periods. To shorten the duration of these tests, products can be subjected to more extreme conditions than those encountered in normal use; an approach known as accelerated life testing (AL...

(This article belongs to the Special Issue Statistical Analysis: Theory, Methods and Applications)
  • Article
  • Open Access
6 Citations
2,888 Views
18 Pages

4 October 2021

An expectation–maximization (EM) likelihood estimation procedure is proposed to obtain the maximum likelihood estimates of the parameters in a mixture distributions model based on type-I hybrid censored samples when the mixture proportions are unknow...

(This article belongs to the Special Issue Application of Mathematical Methods in Industrial Engineering and Management)
  • Article
  • Open Access
3 Citations
2,972 Views
25 Pages

For a fixed time, t, and a horizon time, b, the probability of default (PD) measures the probability that an obligor, that has paid his/her credit until time t, runs into arrears not later that time t+b. This probability is one of the most crucial el...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
2 Citations
796 Views
15 Pages

10 November 2025

This paper proposes a novel multiscale random forest model for stock index trend prediction, incorporating statistical inference principles to improve classification confidence. Traditional random forest classifiers rely on majority voting, which can...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
7 Citations
1,148 Views
19 Pages

28 June 2025

The Rayleigh distribution is a continuous probability distribution that is inherently asymmetric and commonly used to model right-skewed data. It holds significant importance across a wide range of scientific and engineering disciplines and exhibits...

(This article belongs to the Special Issue Skewed (Asymmetrical) Probability Distributions and Applications Across Disciplines, Fourth Edition)
  • Article
  • Open Access
4 Citations
2,676 Views
23 Pages

Estimating confidence intervals in small or noisy datasets is a recurring challenge in biomolecular research, particularly when data contain outliers or exhibit high variability. This study introduces a robust statistical method that combines a hybri...

(This article belongs to the Topic Bioinformatics in Drug Design and Discovery—2nd Edition)
  • Article
  • Open Access
12 Citations
2,796 Views
38 Pages

15 November 2022

This study uses the adaptive Type-II progressively censored competing risks model to estimate the unknown parameters and the survival function of the Gompertz distribution. Where the lifetime for each failure is considered independent, and each follo...

(This article belongs to the Special Issue Probability Distributions and Their Applications)
  • Article
  • Open Access
12 Citations
3,845 Views
22 Pages

16 March 2021

Point and interval estimations are taken into account for a progressive first-failure censored left-truncated normal distribution in this paper. First, we derive the estimators for parameters on account of the maximum likelihood principle. Subsequent...

  • Article
  • Open Access
18 Citations
5,457 Views
20 Pages

Randomized Feature and Bootstrapped Naive Bayes Classification

  • Bharameeporn Phatcharathada and
  • Patchanok Srisuradetchai

Naive Bayes (NB) classifiers are widely used for their simplicity, computational efficiency, and interpretability. However, their predictive performance can degrade significantly in real-world settings where the conditional independence assumption is...

(This article belongs to the Special Issue Recent Developments in Data Science and Knowledge Discovery)
  • Article
  • Open Access
11 Citations
2,671 Views
20 Pages

28 September 2022

The weighted exponential distribution is a promising skewed distribution in the life-testing experiment. The joint progressive type-II censoring (JPC) scheme is an effective approach to reducing costs. In this paper, we consider the estimates of para...

(This article belongs to the Special Issue Symmetry in Statistics and Data Science)
  • Article
  • Open Access
4 Citations
3,362 Views
12 Pages

Development of Stochastic Fatigue Model of Reinforcement for Reliability of Concrete Structures

  • Sima Rastayesh,
  • Amol Mankar,
  • John Dalsgaard Sørensen and
  • Sajjad Bahrebar

14 January 2020

This paper presents recent contributions to the Marie Skłodowska-Curie Innovative Training Network titled INFRASTAR (Innovation and Networking for Fatigue and Reliability Analysis of Structures-Training for Assessment of Risk) in the field of reliabi...

(This article belongs to the Section Civil Engineering)
  • Feature Paper
  • Article
  • Open Access
4 Citations
7,798 Views
21 Pages

On Comparison of Stochastic Reserving Methods with Bootstrapping

  • Liivika Tee,
  • Meelis Käärik and
  • Rauno Viin

4 January 2017

We consider the well-known stochastic reserve estimation methods on the basis of generalized linear models, such as the (over-dispersed) Poisson model, the gamma model and the log-normal model. For the likely variability of the claims reserve, bootst...

  • Article
  • Open Access
2,563 Views
17 Pages

29 January 2024

To test the relationships of stochastic dominance, this paper firstly proposes two new consistent K-S-type statistics based on a quantile rule. Then, we consider their asymptotic properties. We introduce the bootstrap method to calculate the p-values...

  • Article
  • Open Access
6 Citations
3,285 Views
18 Pages

5 November 2022

In this study, the estimation methods of bias-corrected maximum likelihood (BCML), bootstrap BCML (B-BCML) and Bayesian using Jeffrey’s prior distribution were proposed for the inverse Gaussian distribution with small sample cases to obtain the...

  • Article
  • Open Access
5 Citations
1,606 Views
18 Pages

30 June 2025

Competing risk models are essential in survival analysis for studying systems with multiple mutually exclusive failure events. This study investigates the application of competing risk models in the presence of progressively Type-II censored data for...

(This article belongs to the Special Issue Recent Stochastic and Statistical Approaches for Modeling Complex Systems and Dependent Variables)

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