Articles

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

Statistical reasoning in dependent p-generalized elliptically contoured distributions and beyond

First, likelihood ratio statistics for checking the hypothesis of equal variances of two-dimensional Gaussian vectors are derived both under the standard ...

Authors: Wolf-Dieter Richter

Rank correlation under categorical confounding

Rank correlation is invariant to bijective marginal transformations, but it is not immune to confounding. Assuming a categorical confounding variable is observed, the author proposes weighted coefficients of c...

Authors: Jean-François Plante

A new diversity estimator

The maximum likelihood estimator (MLE) of Gini-Simpson’s diversity index (GS) is widely used but suffers from large bias when the number of species is large or infinite. We propose a new estimator of the GS in...

Authors: Lukun Zheng and Jiancheng Jiang

Optimal two-stage pricing strategies from the seller’s perspective under the uncertainty of buyer’s decisions

In Punta del Este, a resort town in Uruguay, real-estate property is in demand by both domestic and foreign buyers. There are several stages of selling residential units: before, during, and after the actual c...

Authors: Martín Egozcue, Jiang Wu and Ričardas Zitikis

Goodness of fit for the logistic regression model using relative belief

A logistic regression model is a specialized model for product-binomial data. When a proper, noninformative prior is placed on the unrestricted model for the product-binomial model, the hypothesis H ...

Authors: Luai Al-Labadi, Zeynep Baskurt and Michael Evans

The Kumaraswamy transmuted Pareto distribution

In this work, a new five-parameter Kumaraswamy transmuted Pareto (KwTP) distribution is introduced and studied. We discuss various mathematical and statistical properties of the distribution including obtaining e...

Authors: Sher B. Chhetri, Alfred A. Akinsete, Gokarna Aryal and Hongwei Long

Alternative approaches for econometric modeling of panel data using mixture distributions

The economic researcher is sometimes confronted with panel datasets that come from a population made of a finite number of subpopulations. Within each subpopulation the individuals may also be heterogenous acc...

Authors: Judex Hyppolite

Mittag - Leffler function distribution - a new generalization of hyper-Poisson distribution

In this paper a new generalization of the hyper-Poisson distribution is proposed using the Mittag-Leffler function. The hyper-Poisson, displaced Poisson, Poisson and geometric distributions among others are se...

Authors: Subrata Chakraborty and S. H. Ong

A note on inconsistent families of discrete multivariate distributions

We construct a d-dimensional discrete multivariate distribution for which any proper subset of its components belongs to a specific family of distributions. However, the joint d-dimensional distribution fails to ...

Authors: Sugata Ghosh, Subhajit Dutta and Marc G. Genton

The odd log-logistic logarithmic generated family of distributions with applications in different areas

We introduce and study general mathematical properties of a new generator of continuous distributions with three extra parameters called the odd log-logistic logarithmic generated family of distributions. We p...

Authors: Morad Alizadeh, S. M. T. K. MirMostafee, Edwin M. M. Ortega, Thiago G. Ramires and Gauss M. Cordeiro

Recent developments on the moment problem

We consider univariate distributions with finite moments of all positive orders. The moment problem is to determine whether or not a given distribution is uniquely determined by the sequence of its moments. Th...

Authors: Gwo Dong Lin