International Conference on Statistical Distributions and Applications, ICOSDA 2016

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

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

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

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

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

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

High quantile regression for extreme events

For extreme events, estimation of high conditional quantiles for heavy tailed distributions is an important problem. Quantile regression is a useful method in this field with many applications. Quantile regres...

Authors: Mei Ling Huang and Christine Nguyen

The ubiquity of the Simpson’s Paradox

The Simpson’s Paradox is the phenomenon that appears in some datasets, where subgroups with a common trend (say, all negative trend) show the reverse trend when they are aggregated (say, positive trend). Even if ...

Authors: Alessandro Selvitella