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The main object of this article is to present an extension of the zero-inflated Poisson-Lindley distribution, called of zero-modified Poisson-Lindley. The additional parameter $\pi$ of the zero-modified Poisson-Lindley has a natural…

Methodology · Statistics 2018-11-28 Danillo Xavier , Manoel Santos-Neto , Marcelo Bourguignon , Vera Tomazella

A well-known approach for identifying defect-prone parts of software in order to focus testing is to use different kinds of product metrics such as size or complexity. Although this approach has been evaluated in many contexts, the question…

Software Engineering · Computer Science 2014-02-05 Frank Elberzhager , Stephan Kremer , Jürgen Münch , Danilo Assmann

Many data sets cannot be accurately described by standard probability distributions due to the excess number of zero values present. For example, zero-inflation is prevalent in microbiome data and single-cell RNA sequencing data, which…

Methodology · Statistics 2024-11-20 Max Beveridge , Zach Goldstein , Hee Cheol Chung

In a Gaussian graphical model, the conditional independence between two variables are characterized by the corresponding zero entries in the inverse covariance matrix. Maximum likelihood method using the smoothly clipped absolute deviation…

Methodology · Statistics 2009-09-07 Xin Gao , Daniel Q. Pu , Yuehua Wu , Hong Xu

Background: Outcome measures that are count variables with excessive zeros are common in health behaviors research. There is a lack of empirical data about the relative performance of prevailing statistical models when outcomes are…

Applications · Statistics 2023-08-17 Zhengyang Zhou , Dateng Li , David Huh , Minge Xie , Eun-Young Mun

Ecological studies involving counts of abundance, presence-absence or occupancy rates often produce data having a substantial proportion of zeros. Furthermore, these types of processes are typically multivariate and only adequately…

Methodology · Statistics 2011-05-17 Ali Arab , Scott H. Holan , Christopher K. Wikle , Mark L. Wildhaber

Software defect prediction plays a crucial role in estimating the most defect-prone components of software, and a large number of studies have pursued improving prediction accuracy within a project or across projects. However, the rules for…

Software Engineering · Computer Science 2020-04-28 Peng He , Bing Li , Xiao Liu , Jun Chen , Yutao Ma

In a Cox model, the partial likelihood, as the product of a series of conditional probabilities, is used to estimate the regression coefficients. In practice, those conditional probabilities are approximated by risk score ratios based on a…

Methodology · Statistics 2025-02-27 Youngjin Cho , Yili Hong , Pang Du

The paper proposes a novel model assessment paradigm aiming to address shortcoming of posterior predictive $p-$values, which provide the default metric of fit for Bayesian structural equation modelling (BSEM). The model framework of the…

Methodology · Statistics 2022-06-30 Konstantinos Vamvourellis , Konstantinos Kalogeropoulos , Irini Moustaki

The property and casualty (P&C) insurance industry faces challenges in developing claim predictive models due to the highly right-skewed distribution of positive claims with excess zeros. To address this, actuarial science researchers have…

Machine Learning · Computer Science 2024-06-19 Banghee So

Background: Unsupervised machine learners have been increasingly applied to software defect prediction. It is an approach that may be valuable for software practitioners because it reduces the need for labeled training data. Objective:…

Software Engineering · Computer Science 2020-02-20 Ning Li , Martin Shepperd , Yuchen Guo

This paper proposes a computationally efficient Bayesian factor model for multiple grouped count data. Adopting the link function approach, the proposed model can capture the association within and between the at-risk probabilities and…

Methodology · Statistics 2024-05-13 Genya Kobayashi , Yuta Yamauchi

The workhorse model for zero-truncated count data (y = 1, 2, ...) is the zero-truncated negative binomial (ZTNB) model. We find it should seldom be used. Instead, we recommend the one-inflated zero-truncated negative binomial (OIZTNB) model…

Econometrics · Economics 2025-03-24 Ryan T. Godwin

Tweedie's compound Poisson model is a popular method to model insurance claims with probability mass at zero and nonnegative, highly right-skewed distribution. In particular, it is not uncommon to have extremely unbalanced data with…

Computation · Statistics 2019-11-18 He Zhou , Yi Yang , Wei Qian

Generalized linear regressions, such as logistic regressions or Poisson regressions, are long-studied regression analysis approaches, and their applications are widely employed in various classification problems. Our study considers a…

Machine Learning · Statistics 2024-01-17 Vu Duc Anh , Tran Anh Tuan , Tran Ngoc Thang , Nguyen Thi Ngoc Anh

Dimension reduction of high-dimensional microbiome data facilitates subsequent analysis such as regression and clustering. Most existing reduction methods cannot fully accommodate the special features of the data such as count-valued and…

Methodology · Statistics 2023-05-02 Tianchen Xu , Ryan T. Demmer , Gen Li

Context: There is considerable diversity in the range and design of computational experiments to assess classifiers for software defect prediction. This is particularly so, regarding the choice of classifier performance metrics.…

Software Engineering · Computer Science 2020-03-04 Jingxiu Yao , Martin Shepperd

We study estimation and testing in the Poisson regression model with noisy high dimensional covariates, which has wide applications in analyzing noisy big data. Correcting for the estimation bias due to the covariate noise leads to a…

Statistics Theory · Mathematics 2023-01-03 Fei Jiang , Yeqing Zhou , Jianxuan Liu , Yanyuan Ma

We introduce a newly developed R package AZIAD for analyzing zero-inflated or zero-altered data. Compared with existing R packages, AZIAD covers a much larger class of zero-inflated and hurdle models, including both discrete and continuous…

Computation · Statistics 2023-04-21 Niloufar Dousti Mousavi , Hani Aldirawi , Jie Yang

Zero-inflated outcomes, where responses are zero with positive probability and otherwise continuous, are common in biomedical, environmental, and social science studies. We propose a conformal prediction based framework that provides…