A copula-based Markov chain model can flexibly capture serial dependence in a time series. However, the computational developments for models remain insufficient discrete marginal compared with continuous ones. In this article, we develop methods binomial series under Clayton and Joe copulas. The include data-generation, parameter estimation, selection, goodness-of-fit tests. We implement our R...

We introduce a family of q-analogues of the binomial distribution, which generalises the Stieltjes-Wigert-, Rogers-Szegö-, and Kemp-distribution. Basic properties of this familiy are provided and several convergence results involving the classical binomial, Poisson, discrete normal distribution, and a family of q-analogues of the Poisson distribution are established. These results generalise co...

Background: The number of failed courses and semesters in students are indicatorsof their performance. These amounts have zero inflated (ZI) distributions. Using ZI Poisson and negative binomial distributions we can model these count data to find the associated factors and estimate the parameters. This study aims at to investigate the important factors related to the educational performance of ...

BACKGROUND Relative risk is a summary metric that is commonly used in epidemiological investigations. Increasingly, epidemiologists are using log-binomial models to study the impact of a set of predictor variables on a single binary outcome, as they naturally offer relative risks. However, standard statistical software may report failed convergence when attempting to fit log-binomial models in ...

T decision analysis methods can provide an intuitive approach to valuing projects with managerial flexibility or real options. The discrete-time approach to real-option valuation has typically been implemented in the finance literature using a binomial lattice framework. Instead, we use a binomial decision tree with risk-neutral probabilities to approximate the uncertainty associated with the c...

In this article, some simple methods for testing and estimating the parameters of some discrete distributions are proposed. For hypothesis testing, a new test is obtained by combining the usual exact test and an alternative exact test. The exact properties of the usual exact test, the alternative exact test and the combined test are evaluated numerically for the binomial and Poisson distributio...

In cohort studies binary outcomes are very often analyzed by logistic regression. However, it is well-known that when the goal is to estimate a risk ratio, the logistic regression is inappropriate if the outcome is common. In these cases, a log-binomial regression model is preferable. On the other hand, the estimation of the regression coefficients of the log-binomial model is difficult due to ...

In clinical trial data analysis, one of the most commonly used method for the analysis of categorical data is the Binomial proportion and their confidence intervals. If the variable of interest is a dichotomous categorical one, i.e. a variable with two levels (e.g. Subjects with serious AEs/Subjects without any serious AEs) then Binomial proportions (or percentages) and their CIs (or %CIs) can ...