Articles

A general stochastic model for bivariate episodes driven by a gamma sequence

We propose a new stochastic model describing the joint distribution of (X,N), where N is a counting variable while X is the sum of N independent gamma random variables. We present the main properties of this gene...

Authors: Charles K. Amponsah, Tomasz J. Kozubowski and Anna K. Panorska

A flexible multivariate model for high-dimensional correlated count data

We propose a flexible multivariate stochastic model for over-dispersed count data. Our methodology is built upon mixed Poisson random vectors (Y₁,…,Y_d), where the {Y_i} are conditionally independent Poisson random...

Authors: Alexander D. Knudson, Tomasz J. Kozubowski, Anna K. Panorska and A. Grant Schissler

Generalized fiducial inference on the mean of zero-inflated Poisson and Poisson hurdle models

Zero-inflated and hurdle models are widely applied to count data possessing excess zeros, where they can simultaneously model the process from how the zeros were generated and potentially help mitigate the eff...

Authors: Yixuan Zou, Jan Hannig and Derek S. Young

Multivariate distributions of correlated binary variables generated by pair-copulas

Correlated binary data are prevalent in a wide range of scientific disciplines, including healthcare and medicine. The generalized estimating equations (GEEs) and the multivariate probit (MP) model are two of ...

Authors: Huihui Lin and N. Rao Chaganty

On two extensions of the canonical Feller–Spitzer distribution

We introduce two extensions of the canonical Feller–Spitzer distribution from the class of Bessel densities, which comprise two distinct stochastically decreasing one-parameter families of positive absolutely ...

Authors: Vladimir Vladimirovich Vinogradov and Richard Bruce Paris

A new trivariate model for stochastic episodes

We study the joint distribution of stochastic events described by (X,Y,N), where N has a 1-inflated (or deflated) geometric distribution and X, Y are the sum and the maximum of N exponential random variables. Mod...

Authors: Francesco Zuniga, Tomasz J. Kozubowski and Anna K. Panorska

A flexible univariate moving average time-series model for dispersed count data

Al-Osh and Alzaid (1988) consider a Poisson moving average (PMA) model to describe the relation among integer-valued time series data; this model, however, is constrained by the underlying equi-dispersion assumpt...

Authors: Kimberly F. Sellers, Ali Arab, Sean Melville and Fanyu Cui

Spatio-temporal analysis of flood data from South Carolina

To investigate the relationship between flood gage height and precipitation in South Carolina from 2012 to 2016, we built a conditional autoregressive (CAR) model using a Bayesian hierarchical framework. This ...

Authors: Haigang Liu, David B. Hitchcock and S. Zahra Samadi

Affine-transformation invariant clustering models

We develop a cluster process which is invariant with respect to unknown affine transformations of the feature space without knowing the number of clusters in advance. Specifically, our proposed method can iden...

Authors: Hsin-Hsiung Huang and Jie Yang

Distributions associated with simultaneous multiple hypothesis testing

We develop the distribution for the number of hypotheses found to be statistically significant using the rule from Simes (Biometrika 73: 751–754, 1986) for controlling the family-wise error rate (FWER). We fin...

Authors: Chang Yu and Daniel Zelterman

New families of bivariate copulas via unit weibull distortion

This paper introduces a new family of bivariate copulas constructed using a unit Weibull distortion. Existing copulas play the role of the base or initial copulas that are transformed or distorted into a new f...

Authors: Fadal A.A. Aldhufairi and Jungsywan H. Sepanski

Generalized logistic distribution and its regression model

A new generalized asymmetric logistic distribution is defined. In some cases, existing three parameter distributions provide poor fit to heavy tailed data sets. The proposed new distribution consists of only t...

Authors: Mohammad A. Aljarrah, Felix Famoye and Carl Lee

The spherical-Dirichlet distribution

Today, data mining and gene expressions are at the forefront of modern data analysis. Here we introduce a novel probability distribution that is applicable in these fields. This paper develops the proposed sph...

Authors: Jose H. Guardiola

Item fit statistics for Rasch analysis: can we trust them?

To compare fit statistics for the Rasch model based on estimates of unconditional or conditional response probabilities.

Authors: Marianne Müller

Exact distributions of statistics for making inferences on mixed models under the default covariance structure

At this juncture when mixed models are heavily employed in applications ranging from clinical research to business analytics, the purpose of this article is to extend the exact distributional result of Wald (A...

Authors: Samaradasa Weerahandi and Ching-Ray Yu

A new discrete pareto type (IV) model: theory, properties and applications

Discrete analogue of a continuous distribution (especially in the univariate domain) is not new in the literature. The work of discretizing continuous distributions begun with the paper by Nakagawa and Osaki (197...

Authors: Indranil Ghosh

Density deconvolution for generalized skew-symmetric distributions

The density deconvolution problem is considered for random variables assumed to belong to the generalized skew-symmetric (GSS) family of distributions. The approach is semiparametric in that the symmetric comp...

Authors: Cornelis J. Potgieter

The unifed distribution

We introduce a new distribution with support on (0,1) called unifed. It can be used as the response distribution for a GLM and it is suitable for data aggregation. We make a comparison to the beta regression. ...

Authors: Oscar Alberto Quijano Xacur

On Burr III Marshal Olkin family: development, properties, characterizations and applications

In this paper, a flexible family of distributions with unimodel, bimodal, increasing, increasing and decreasing, inverted bathtub and modified bathtub hazard rate called Burr III-Marshal Olkin-G (BIIIMO-G) fam...

Authors: Fiaz Ahmad Bhatti, G. G. Hamedani, Mustafa C. Korkmaz, Gauss M. Cordeiro, Haitham M. Yousof and Munir Ahmad

The linearly decreasing stress Weibull (LDSWeibull): a new Weibull-like distribution

Motivated by an engineering pullout test applied to a steel strip embedded in earth, we show how the resulting linearly decreasing force leads naturally to a new distribution, if the force under constant stress i...

Authors: Roger W. Barnard, Chamila Perera, James G. Surles and A. Alexandre Trindade

Meta analysis of binary data with excessive zeros in two-arm trials

We present a novel Bayesian approach to random effects meta analysis of binary data with excessive zeros in two-arm trials. We discuss the development of likelihood accounting for excessive zeros, the prior, a...

Authors: Saman Muthukumarana, David Martell and Ram Tiwari

On (p₁,…,p_k)-spherical distributions

The class of (p₁,…,p_k)-spherical probability laws and a method of simulating random vectors following such distributions are introduced using a new stochastic vector representation. A dynamic geometric disintegra...

Authors: Wolf-Dieter Richter

A new class of survival distribution for degradation processes subject to shocks

Many systems experience gradual degradation while simultaneously being exposed to a stream of random shocks of varying magnitudes that eventually cause failure when a shock exceeds the residual strength of the...

Authors: Mei-Ling Ting Lee and G. A. Whitmore

A new extended normal regression model: simulations and applications

Various applications in natural science require models more accurate than well-known distributions. In this context, several generators of distributions have been recently proposed. We introduce a new four-par...

Authors: Maria C.S. Lima, Gauss M. Cordeiro, Edwin M.M. Ortega and Abraão D.C. Nascimento

Multiclass analysis and prediction with network structured covariates

Technological advances associated with data acquisition are leading to the production of complex structured data sets. The recent development on classification with multiclass responses makes it possible to in...

Authors: Li-Pang Chen, Grace Y. Yi, Qihuang Zhang and Wenqing He

High-dimensional star-shaped distributions

Stochastic representations of star-shaped distributed random vectors having heavy or light tail density generating function g are studied for increasing dimensions along with corresponding geometric measure repre...

Authors: Wolf-Dieter Richter

A unified complex noncentral Wishart type distribution inspired by massive MIMO systems

The eigenvalue distributions from a complex noncentral Wishart matrix S=X^HX has been the subject of interest in various real world applications, where X is assumed to be complex matrix variate normally distribute...

Authors: Johannes T. Ferreira and Andriëtte Bekker

Particle swarm based algorithms for finding locally and Bayesian D-optimal designs

When a model-based approach is appropriate, an optimal design can guide how to collect data judiciously for making reliable inference at minimal cost. However, finding optimal designs for a statistical model w...

Authors: Yu Shi, Zizhao Zhang and Weng Kee Wong

Admissible Bernoulli correlations

A multivariate symmetric Bernoulli distribution has marginals that are uniform over the pair {0,1}. Consider the problem of sampling from this distribution given a prescribed correlation between each pair of v...

Authors: Mark Huber and Nevena Marić

On p-generalized elliptical random processes

We introduce rank-k-continuous axis-aligned p-generalized elliptically contoured distributions and study their properties such as stochastic representations, moments, and density-like representations. Applying th...

Authors: Klaus Müller and Wolf-Dieter Richter

Parameters of stochastic models for electroencephalogram data as biomarkers for child’s neurodevelopment after cerebral malaria

The objective of this study was to test statistical features from the electroencephalogram (EEG) recordings as predictors of neurodevelopment and cognition of Ugandan children after coma due to cerebral malari...

Authors: Maria A. Veretennikova, Alla Sikorskii and Michael J. Boivin

A new generalization of generalized half-normal distribution: properties and regression models

In this paper, a new extension of the generalized half-normal distribution is introduced and studied. We assess the performance of the maximum likelihood estimators of the parameters of the new distribution vi...

Authors: Emrah Altun, Haitham M. Yousof and G.G. Hamedani

Analytical properties of generalized Gaussian distributions

The family of Generalized Gaussian (GG) distributions has received considerable attention from the engineering community, due to the flexible parametric form of its probability density function, in modeling ma...

Authors: Alex Dytso, Ronit Bustin, H. Vincent Poor and Shlomo Shamai

A new Weibull-X family of distributions: properties, characterizations and applications

We propose a new family of univariate distributions generated from the Weibull random variable, called a new Weibull-X family of distributions. Two special sub-models of the proposed family are presented and t...

Authors: Zubair Ahmad, M. Elgarhy and G. G. Hamedani

The transmuted geometric-quadratic hazard rate distribution: development, properties, characterizations and applications

We propose a five parameter transmuted geometric quadratic hazard rate (TG-QHR) distribution derived from mixture of quadratic hazard rate (QHR), geometric and transmuted distributions via the application of t...

Authors: Fiaz Ahmad Bhatti, G. G. Hamedani, Mustafa Ç. Korkmaz and Munir Ahmad

A nonparametric approach for quantile regression

Quantile regression estimates conditional quantiles and has wide applications in the real world. Estimating high conditional quantiles is an important problem. The regular quantile regression (QR) method often...

Authors: Mei Ling Huang and Christine Nguyen

Mean and variance of ratios of proportions from categories of a multinomial distribution

Ratio distribution is a probability distribution representing the ratio of two random variables, each usually having a known distribution. Currently, there are results when the random variables in the ratio fo...

Authors: Frantisek Duris, Juraj Gazdarica, Iveta Gazdaricova, Lucia Strieskova, Jaroslav Budis, Jan Turna and Tomas Szemes

The power-Cauchy negative-binomial: properties and regression

We propose and study a new compounded model to extend the half-Cauchy and power-Cauchy distributions, which offers more flexibility in modeling lifetime data. The proposed model is analytically tractable and c...

Authors: Muhammad Zubair, Muhammad H. Tahir, Gauss M. Cordeiro, Ayman Alzaatreh and Edwin M. M. Ortega

Families of distributions arising from the quantile of generalized lambda distribution

In this paper, the class of T-R {generalized lambda} families of distributions based on the quantile of generalized lambda distribution has been proposed using the T-R{Y} framework. In the development of the T-R{

Authors: Mahmoud Aldeni, Carl Lee and Felix Famoye

Risk ratios and Scanlan’s HRX

Risk ratios are distribution function tail ratios and are widely used in health disparities research. Let A and D denote advantaged and disadvantaged populations with cdfs F _...

Authors: Hoben Thomas and Thomas P. Hettmansperger

Joint distribution of k-tuple statistics in zero-one sequences of Markov-dependent trials

We consider a sequence of n, n≥3, zero (0) - one (1) Markov-dependent trials. We focus on k-tuples of 1s; i.e. runs of 1s of length at least equal to a fixed integer number k, 1≤k≤n. The statistics denoting the n...

Authors: Anastasios N. Arapis, Frosso S. Makri and Zaharias M. Psillakis

A useful extension of the Burr III distribution

For any continuous baseline G distribution, Zografos and Balakrishnan (Statistical Methodology 6:344–362, 2009) introduced the gamma-generated family of distributions with an extra shape parameter. Based on th...

Authors: Gauss M. Cordeiro, Antonio E. Gomes, Cibele Q. da-Silva and Edwin M. M. Ortega

Quantile regression for overdispersed count data: a hierarchical method

Generalized Poisson regression is commonly applied to overdispersed count data, and focused on modelling the conditional mean of the response. However, conditional mean regression models may be sensitive to re...

Authors: Peter Congdon

Describing the Flexibility of the Generalized Gamma and Related Distributions

The generalized gamma (GG) distribution is a widely used, flexible tool for parametric survival analysis. Many alternatives and extensions to this family have been proposed. This paper characterizes the flexib...

Authors: Matthew Matheson, Alvaro Muñoz and Christopher Cox

Analysis of case-control data with interacting misclassified covariates

Case-control studies are important and useful methods for studying health outcomes and many methods have been developed for analyzing case-control data. Those methods, however, are vulnerable to mismeasurement...

Authors: Grace Y. Yi and Wenqing He

Correction to: a flexible distribution class for count data

Authors: Kimberly F. Sellers, Andrew W. Swift and Kimberly S. Weems

Erlang renewal models for genetic recombination

Erlang renewal models, also called chi-squared models, provide a tractable model for genetic recombination that exhibits positive interference. Closed form expressions for multilocus probabilities are derived ...

Authors: John P. Nolan

On Poisson–Tweedie mixtures

Poisson-Tweedie mixtures are the Poisson mixtures for which the mixing measure is generated by those members of the family of Tweedie distributions whose support is non-negative. This class of non-negative int...

Authors: Vladimir V. Vinogradov and Richard B. Paris

A permutation test for comparing rotational symmetry in three-dimensional rotation data sets

Although there have been fairly recent advances regarding inference for three-dimensional rotation data, there are still many areas of interest yet to be explored. One such area involves comparing the rotation...

Authors: Melissa A. Bingham and Marissa L. Scray

A flexible distribution class for count data

The Poisson, geometric and Bernoulli distributions are special cases of a flexible count distribution, namely the Conway-Maxwell-Poisson (CMP) distribution – a two-parameter generalization of the Poisson distr...

Authors: Kimberly F. Sellers, Andrew W. Swift and Kimberly S. Weems