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1,685 Results Found

  • Article
  • Open Access
16 Citations
5,250 Views
18 Pages

A Logit Model for Bivariate Binary Responses

  • Purhadi Purhadi and
  • M. Fathurahman

16 February 2021

This article provides a bivariate binary logit model and statistical inference procedures for parameter estimation and hypothesis testing. The bivariate binary logit (BBL) model is an extension of the binary logit model that has two correlated binary...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
3,896 Views
13 Pages

EM Estimation for the Bivariate Mixed Exponential Regression Model

  • Zezhun Chen,
  • Angelos Dassios and
  • George Tzougas

17 May 2022

In this paper, we present a new family of bivariate mixed exponential regression models for taking into account the positive correlation between the cost of claims from motor third party liability bodily injury and property damage in a versatile mann...

(This article belongs to the Special Issue Multivariate Risks)
  • Article
  • Open Access
1 Citations
1,869 Views
16 Pages

A Copula-Based Model for Analyzing Bivariate Offense Data

  • Dimuthu Fernando and
  • Wimarsha Jayanetti

19 November 2025

We developed a class of bivariate integer-valued time series models using copula theory. Each count time series is modeled as a Markov chain, with serial dependence characterized through copula-based transition probabilities for Poisson and Negative...

(This article belongs to the Section General Applied Statistics)
  • Article
  • Open Access
9 Citations
2,537 Views
20 Pages

29 December 2021

Excess zeros is a common phenomenon in time series of counts, but it is not well studied in asymmetrically structured bivariate cases. To fill this gap, we first considered a new first-order, bivariate, random coefficient, integer-valued autoregressi...

(This article belongs to the Section B: Mathematics)
  • Article
  • Open Access
5 Citations
2,715 Views
27 Pages

Inferences of a Mixture Bivariate Alpha Power Exponential Model with Engineering Application

  • Refah Alotaibi,
  • Mazen Nassar,
  • Indranil Ghosh,
  • Hoda Rezk and
  • Ahmed Elshahhat

7 September 2022

The univariate alpha power exponential (APE) distribution has several appealing characteristics. It behaves similarly to Weibull, Gamma, and generalized exponential distributions with two parameters. In this paper, we consider different bivariate mix...

(This article belongs to the Special Issue Computational Statistics & Data Analysis)
  • Article
  • Open Access
11 Citations
3,311 Views
22 Pages

19 August 2022

Recently, there has been a growing interest in integer-valued time series models, especially in multivariate models. Motivated by the diversity of the infinite-patch metapopulation models, we propose an extension to the popular bivariate INAR(1) mode...

(This article belongs to the Section General Applied Statistics)
  • Article
  • Open Access
15 Citations
2,399 Views
23 Pages

Modeling the failure times of processors and memories in computers is crucial for ensuring the reliability and robustness of data science workflows. By understanding the failure characteristics of the hardware components, data scientists can develop...

(This article belongs to the Special Issue Mathematical Data Science with Applications in Business, Industry, and Medicine)
  • Article
  • Open Access
776 Views
37 Pages

A Flexible Bivariate Lifetime Model with Upper Bound: Theoretical Development and Lifetime Application

  • Shuhrah Alghamdi,
  • Tassaddaq Hussain,
  • Hassan S. Bakouch and
  • Maher Kachour

18 December 2025

This paper introduces the bivariate bounded Gompertz–log-logistic (BBGLL) distribution, a bounded bivariate lifetime model built by coupling two bounded Gompertz–log-logistic marginals through a Clayton copula with an independent dependen...

(This article belongs to the Special Issue Reliability and Risk of Complex Systems: Modelling, Analysis and Optimization, 2nd Edition)
  • Article
  • Open Access
5 Citations
3,750 Views
20 Pages

A New Bivariate Family Based on Archimedean Copulas: Simulation, Regression Model and Application

  • Gabriela M. Rodrigues,
  • Edwin M. M. Ortega,
  • Roberto Vila and
  • Gauss M. Cordeiro

18 September 2023

We use the Clayton and Frank copulas and the exponentiated odd log-logistic family to define a new flexible bivariate model to fit bimodal and asymmetry data. The copulas allow different distributions for the response variable, thus making analysis m...

(This article belongs to the Special Issue Skewed (Asymmetrical) Probability Distributions and Applications across Disciplines III)
  • Article
  • Open Access
2 Citations
2,412 Views
18 Pages

7 June 2022

In this study, by integrating preventive maintenance (PM) into a two-dimensional warranty region, a two-dimensional warranty with customized PM (2D warranty with customized PM) is proposed from the manufacturer’s perspective to reduce the warra...

(This article belongs to the Special Issue Statistical Machine Learning with Applications)
  • Article
  • Open Access
98 Citations
8,609 Views
23 Pages

31 July 2019

In the future, groundwater will be the major source of water for agriculture, drinking and food production as a result of global climate change. With increasing population growth, demand for groundwater has increased. Therefore, sustainable groundwat...

(This article belongs to the Special Issue Applications of Remote Sensing and GIS in Hydrology II)
  • Article
  • Open Access
1 Citations
2,835 Views
15 Pages

A univariate analysis that relies solely on precipitation data in low flow frequency analysis is a technique to express meteorological drought, so it is limited to analyzing the characteristics of hydrological drought related to available water resou...

(This article belongs to the Topic Hydrology and Water Resources Management)
  • Article
  • Open Access
7 Citations
3,163 Views
12 Pages

24 March 2022

There has been growing attention among major developed countries to alternative food products using vegetable-derived ingredients to help animal welfare and environmental sustainability. The development of ICT technology and awareness of animal welfa...

(This article belongs to the Topic New Trends in Agri-Food Sector: Environmental, Economic and Social Perspectives)
  • Article
  • Open Access
18 Citations
3,512 Views
24 Pages

Predicting PM2.5 and PM10 Levels during Critical Episodes Management in Santiago, Chile, with a Bivariate Birnbaum-Saunders Log-Linear Model

  • Rodrigo Puentes,
  • Carolina Marchant,
  • Víctor Leiva,
  • Jorge I. Figueroa-Zúñiga and
  • Fabrizio Ruggeri

18 March 2021

Improving air quality is an important environmental challenge of our time. Chile currently has one of the most stable and emerging economies in Latin America, where human impact on natural resources and air quality does not go unperceived. Santiago,...

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

2 November 2026

The Marshall–Olkin bivariate Weibull model with modified singularity assigns positive probability to an unknown ray x=μy. We study inference for its location under exact and finite-resolution observation. With exact observations, repeated co...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
18 Citations
4,838 Views
21 Pages

The site-suitability analysis (SSA) of parcel-pickup lockers (PPLs) is becoming a critical problem in last-mile logistics. Most studies have focused on the site-selection problem to identify the best site from given potential sites in specific areas,...

(This article belongs to the Special Issue Geo-Information Technology and Its Applications)
  • Feature Paper
  • Article
  • Open Access
1 Citations
2,493 Views
18 Pages

12 February 2025

In the peer-to-peer (P2P) lending market, current studies focus on two categories of approaches to evaluate the loans, thus providing investment suggestions to the investors: credit scoring (i.e., predicting the credit risk) and profit scoring (i.e.,...

(This article belongs to the Special Issue Computational Methods and Models in the Financial Risk Management Process)
  • Article
  • Open Access
3 Citations
2,678 Views
33 Pages

A New Bivariate Survival Model: The Marshall-Olkin Bivariate Exponentiated Lomax Distribution with Modeling Bivariate Football Scoring Data

  • Sulafah M. S. Binhimd,
  • Zakiah I. Kalantan,
  • Abeer A. EL-Helbawy,
  • Gannat R. AL-Dayian and ,
  • Ahlam A. M. Mahmoud,
  • Reda M. Refaey and
  • Mervat K. Abd Elaal
  • + 2 authors+ 0 author

8 November 2024

This paper focuses on applying the Marshall-Olkin approach to generate a new bivariate distribution. The distribution is called the bivariate exponentiated Lomax distribution, and its marginal distribution is the exponentiated Lomax distribution. Num...

(This article belongs to the Special Issue Applications of Bayesian Methods in Statistical Analysis)
  • Article
  • Open Access
3 Citations
2,304 Views
12 Pages

Bivariate Proportional Hazard Models: Structure and Inference

  • Barry C. Arnold,
  • Guillermo Martínez-Flórez and
  • Héctor W. Gómez

6 October 2022

We focus on a variety of bivariate models with proportional hazard components. Models with proportional hazard marginals are described together with a selection of models with propor- tional hazard conditional distributions. The bivariate distributio...

(This article belongs to the Special Issue Mathematical Models and Methods in Various Sciences)
  • Article
  • Open Access
2,782 Views
12 Pages

Functional Location-Scale Model to Forecast Bivariate Pollution Episodes

  • Manuel Oviedo-de La Fuente,
  • Celestino Ordóñez and
  • Javier Roca-Pardiñas

Predicting anomalous emission of pollutants into the atmosphere well in advance is crucial for industries emitting such elements, since it allows them to take corrective measures aimed to avoid such emissions and their consequences. In this work, we...

(This article belongs to the Special Issue Functional Statistics: Outliers Detection and Quality Control)
  • Article
  • Open Access
2,989 Views
22 Pages

24 January 2022

Bivariate continuous negatively correlated proportional data defined in the unit square (0,1)2 often appear in many different disciplines, such as medical studies, clinical trials and so on. To model this type of data, the paper proposes two new biva...

(This article belongs to the Special Issue Recent Advances in Computational Statistics)
  • Article
  • Open Access
40 Citations
8,120 Views
20 Pages

10 September 2021

With the recent developments in widespread internet usage and digital technology, an ultimate worldwide transformation in information and communications technology has occurred. Especially, how people engage in the virtual market for buying and selli...

(This article belongs to the Special Issue Agricultural Food Marketing, Economics and Policies)
  • Article
  • Open Access
1 Citations
1,733 Views
16 Pages

5 October 2024

This paper introduces bivariate log-symmetric models for analyzing the relationship between two variables, assuming a family of log-symmetric distributions. These models offer greater flexibility than the bivariate lognormal distribution, allowing fo...

(This article belongs to the Special Issue Probability and Statistics Theory in Symmetry and Application from Machine Learning to Biomedical Data)
  • Article
  • Open Access
10 Citations
7,175 Views
20 Pages

Modeling Bivariate Dependency in Insurance Data via Copula: A Brief Study

  • Indranil Ghosh,
  • Dalton Watts and
  • Subrata Chakraborty

Copulas are a quite flexible and useful tool for modeling the dependence structure between two or more variables or components of bivariate and multivariate vectors, in particular, to predict losses in insurance and finance. In this article, we use t...

(This article belongs to the Special Issue Financial Data Analytics and Statistical Learning)
  • Article
  • Open Access
1 Citations
1,527 Views
27 Pages

A Bivariate Copula–Driven Multi-State Model for Statistical Analysis in Medical Research

  • Hugo Brango,
  • Roger Tovar-Falón and
  • Guillermo Martínez-Flórez

24 September 2025

We develop and evaluate a copula-based multistate model for illness–death processes with dependent transition times. The framework couples Cox proportional hazards models for the marginal transition intensities with Archimedean copulas to captu...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
3 Citations
3,352 Views
17 Pages

A Copula-Based Bivariate Composite Model for Modelling Claim Costs

  • Girish Aradhye,
  • George Tzougas and
  • Deepesh Bhati

22 January 2024

This paper aims to develop a new family of bivariate distributions for modelling different types of claims and their associated costs jointly in a flexible manner. The proposed bivariate distributions can be viewed as a continuous copula distribution...

(This article belongs to the Special Issue Recent Advances in Mathematical Methods for Economics)
  • Article
  • Open Access
11 Citations
3,950 Views
25 Pages

Robust Estimation for Bivariate Poisson INGARCH Models

  • Byungsoo Kim,
  • Sangyeol Lee and
  • Dongwon Kim

19 March 2021

In the integer-valued generalized autoregressive conditional heteroscedastic (INGARCH) models, parameter estimation is conventionally based on the conditional maximum likelihood estimator (CMLE). However, because the CMLE is sensitive to outliers, we...

(This article belongs to the Special Issue Time Series Modelling)
  • Article
  • Open Access
13 Citations
2,783 Views
18 Pages

The public health risk caused by urban floods is a global concern. Flood risks are amplified by the interaction of rainfall and storm tides in coastal cities. In this study, we investigate the flood risks of rainfall and storm tides coupling statisti...

(This article belongs to the Section Water Science and Technology)
  • Article
  • Open Access
63 Citations
6,625 Views
13 Pages

21 June 2018

With the changing environment, a number of researches have revealed that the assumption of stationarity of flood sequences is questionable. In this paper, we established univariate and bivariate models to investigate nonstationary flood frequency wit...

(This article belongs to the Special Issue Flood Risk and Resilience)
  • Article
  • Open Access
2 Citations
2,123 Views
27 Pages

15 February 2024

The novel circumstance-driven bivariate integer-valued autoregressive (CuBINAR) model for non-stationary count time series is proposed. The non-stationarity of the bivariate count process is defined by a joint categorical sequence, which expresses th...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
5 Citations
2,495 Views
26 Pages

The Bivariate Unit-Sinh-Normal Distribution and Its Related Regression Model

  • Guillermo Martínez-Flórez,
  • Artur J. Lemonte,
  • Germán Moreno-Arenas and
  • Roger Tovar-Falón

31 August 2022

In this paper, a new bivariate absolutely continuous probability distribution is introduced. The new distribution, which is called the bivariate unit-sinh-normal (BVUSHN) distribution, arises by applying a transformation to the bivariate Birnbaum&nda...

  • Article
  • Open Access
8 Citations
3,578 Views
13 Pages

A Bivariate Volterra Series Model for the Design of Power Amplifier Digital Predistorters

  • Carlos Crespo-Cadenas,
  • María J. Madero-Ayora and
  • Juan A. Becerra

2 September 2021

The operation of the power amplifier (PA) in wireless transmitters presents a trade-off between linearity and power efficiency, being more efficient when the device exhibits the highest nonlinearity. Its modeling and linearization performance depend...

(This article belongs to the Special Issue Energy-Efficient Wireless Communication Systems)
  • Article
  • Open Access
220 Citations
12,898 Views
22 Pages

Landslide Susceptibility Mapping Using Different GIS-Based Bivariate Models

  • Ebrahim Nohani,
  • Meisam Moharrami,
  • Samira Sharafi,
  • Khabat Khosravi and ,
  • Biswajeet Pradhan,
  • Binh Thai Pham,
  • Saro Lee and
  • Assefa M. Melesse
  • + 3 authors+ 0 author

8 July 2019

Landslides are the most frequent phenomenon in the northern part of Iran, which cause considerable financial and life damages every year. One of the most widely used approaches to reduce these damages is preparing a landslide susceptibility map (LSM)...

(This article belongs to the Section Hydrology)
  • Article
  • Open Access
6 Citations
2,306 Views
18 Pages

A Bivariate Extension to Exponentiated Inverse Flexible Weibull Distribution: Shock Model, Features, and Inference to Model Asymmetric Data

  • Mahmoud El-Morshedy,
  • Mohamed S. Eliwa,
  • Muhammad H. Tahir,
  • Morad Alizadeh and ,
  • Rana El-Desokey,
  • Afrah Al-Bossly and
  • Hana Alqifari
  • + 2 authors+ 0 author

3 February 2023

The primary objective of this article was to introduce a new probabilistic model for the discussion and analysis of random covariates. The introduced model was derived based on the Marshall–Olkin shock model. After proposing the mathematical fo...

(This article belongs to the Special Issue Symmetric and Asymmetric Distributions: Theoretical Developments and Applications Ⅲ)
  • Article
  • Open Access
5 Citations
3,590 Views
15 Pages

21 June 2023

Sulfur dioxide (SO2) can cause detrimental impacts on the ecosystem. It is well known that coal-fired power plants play a dominant role in SO2 emissions, and consequently industrial flue gas desulfurization (IFGD) systems are widely used in coal-fire...

  • Article
  • Open Access
74 Citations
5,823 Views
26 Pages

Hybrid Models Incorporating Bivariate Statistics and Machine Learning Methods for Flash Flood Susceptibility Assessment Based on Remote Sensing Datasets

  • Jun Liu,
  • Jiyan Wang,
  • Junnan Xiong,
  • Weiming Cheng and ,
  • Huaizhang Sun,
  • Zhiwei Yong and
  • Nan Wang
  • + 2 authors+ 0 author

5 December 2021

Flash floods are considered to be one of the most destructive natural hazards, and they are difficult to accurately model and predict. In this study, three hybrid models were proposed, evaluated, and used for flood susceptibility prediction in the Da...

(This article belongs to the Special Issue Remote Sensing in Natural Resource and Water Environment)
  • Article
  • Open Access
1 Citations
2,964 Views
18 Pages

Effective Sample Size with the Bivariate Gaussian Common Component Model

  • Letícia Ellen Dal Canton,
  • Luciana Pagliosa Carvalho Guedes,
  • Miguel Angel Uribe-Opazo and
  • Tamara Cantu Maltauro

8 October 2023

Effective sample size (ESS) consists of an equivalent number of sampling units of a georeferenced variable that would produce the same sampling error, as it considers the information that each georeferenced sampling unit contains about itself as well...

(This article belongs to the Section Statistical Theory and Methods)
  • Article
  • Open Access
1 Citations
737 Views
14 Pages

13 March 2026

Prior studies have typically analyzed the injury severity of bus or taxi passengers at the crash level or single-vehicle level, neglecting vehicle-level interdependence between them. To address the gap, this research sets out to analyze the factors c...

(This article belongs to the Special Issue Traffic Safety Measures and Assessment: 2nd Edition)
  • Article
  • Open Access
1 Citations
1,796 Views
47 Pages

29 May 2024

While overdispersion is a common phenomenon in univariate count time series data, its exploration within bivariate contexts remains limited. To fill this gap, we propose a bivariate integer-valued autoregressive model. The model leverages a modified...

(This article belongs to the Section Mathematical Analysis)
  • Article
  • Open Access
5 Citations
3,699 Views
20 Pages

Currency Hedging Strategies Using Histogram-Valued Data: Bivariate Markov Switching GARCH Models

  • Paravee Maneejuk,
  • Nootchanat Pirabun,
  • Suphawit Singjai and
  • Woraphon Yamaka

1 November 2021

Previous studies aimed at determining hedging strategies commonly used daily closing spot and futures prices for the analysis and strategy building. However, the daily closing price might not be the appropriate for price in some or all trading days....

(This article belongs to the Special Issue Markov-Chain Modelling and Applications)
  • Feature Paper
  • Article
  • Open Access
3 Citations
2,181 Views
16 Pages

11 July 2024

We propose the “Marshall–Olkin Bivariate Weibull Model with Modified Singularity MOBW-μ”, which focuses on bivariate distributions essential for reliability and survival analyses. Distributions such as the Marshall–Olkin bi...

(This article belongs to the Section D1: Probability and Statistics)
  • Article
  • Open Access
1 Citations
2,132 Views
16 Pages

22 October 2025

Flood frequency analysis is essential for designing resilient hydraulic infrastructure, but traditional stationary models fail to capture the influence of climate variability and land-use change. This study applies a bivariate logistic model with non...

  • Article
  • Open Access
1 Citations
995 Views
25 Pages

28 December 2025

This paper introduces a novel bivariate distribution, referred to as the Bivariate Burr XII Inverse Weibull (BBXII-IW) distribution, constructed via the Marshall–Olkin approach from the univariate Burr XII Inverse Weibull (BXII-IW) distribution...

(This article belongs to the Special Issue Advances in Statistical Approaches with Applications for Multivariate Data Analysis)
  • Feature Paper
  • Article
  • Open Access
5 Citations
5,066 Views
16 Pages

17 August 2022

There has been a considerable amount of literature on binomial regression models that utilize well-known link functions, such as logistic, probit, and complementary log-log functions. The conventional binomial model is focused only on a single parame...

(This article belongs to the Special Issue Statistical Methods for Modeling High-Dimensional and Complex Data)
  • Article
  • Open Access
1,629 Views
25 Pages

12 March 2025

In real-life inter-related time series, the counting responses of different entities are commonly influenced by some time-dependent covariates, while the individual counting series may exhibit different levels of mutual over- or under-dispersion or m...

  • Article
  • Open Access
6 Citations
2,030 Views
16 Pages

25 June 2022

A monitoring system (MS) has been used to monitor products’ job cycles. It is indicated that by incorporating the job cycle into the product’s life cycle, warrantors can devise novel warranty models and consumers can define and model rand...

(This article belongs to the Special Issue Stochastic Processes, Models and Methods in Resilience Management and Reliability Optimization)
  • Article
  • Open Access
5 Citations
3,174 Views
21 Pages

9 October 2019

The proposed study presents a novel probabilistic method for optimal allocation of spinning reserves taking into consideration load, wind and solar forecast errors, inter-zonal spinning reserve trading, and demand response provided by consumers as a...

(This article belongs to the Special Issue Power Electronics for Energy Saving)
  • Article
  • Open Access
2 Citations
1,673 Views
17 Pages

Time series analysis is crucial for modeling and forecasting diverse real-world phenomena. Traditional models typically assume continuous-valued data; however, many applications involve integer-valued series, often including negative integers. This p...

(This article belongs to the Special Issue Mathematical Modelling in Economics and Finance)
  • Article
  • Open Access
6 Citations
4,150 Views
18 Pages

31 December 2020

The aim of this paper is to introduce dependence between the claim frequency and the average severity of a policyholder or of an insurance portfolio using a bivariate Sarmanov distribution, that allows to join variables of different types and with di...

(This article belongs to the Special Issue Multivariate Sarmanov Distributions and Applications)
  • Article
  • Open Access
4 Citations
1,732 Views
24 Pages

15 August 2025

This study presents a novel bivariate-output deep learning framework based on LeNet-5 for the simultaneous prediction of urban flood susceptibility and inundation depth in Seoul, South Korea. Unlike previous studies that relied on single-output model...

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