The mixture distribution models are more useful than pure distributions in modeling of heterogeneous data sets. The aim of this paper is to propose mixture of Weibull--Poisson (WP) distributions to model heterogeneous data sets for the first time. So, a powerful alternative mixture distribution...

The <italic>T</italic> -super-2 control chart is widely adopted in multivariate statistical process control. However, when dealing with asymmetrical or multimodal distributions using the traditional <italic>T</italic> -super-2 control chart, some points with relatively high occurrence possibility might be excluded, while some...

In this paper, the maximum likelihood (ML) and Bayes, by using Markov chain Monte Carlo (MCMC), methods are considered to estimate the parameters of three-parameter modified Weibull distribution (MWD(β, τ, λ)) based on a right censored sample of generalized order statistics (gos). Simulation...

In this paper, we have reviewed and proposed several interval estimators for estimating the difference of means of two skewed populations. Estimators include the ordinary-<italic>t</italic>, two versions proposed by Welch [17] and Satterthwaite [15], three versions proposed by Zhou and Dinh [18], Johnson [9],...

A dynamic coupled modelling is investigated to take temperature into account in the individual energy consumption forecasting. The objective is both to avoid the inherent complexity of exhaustive SARIMAX models and to take advantage of the usual linear relation between energy consumption and...

<italic>The European Water Framework states that macrophyte</italic> communities (seaweeds and seagrass) are key indicators of the ecological health of lagoons. Furthermore, the restoration of these communities, especially the <italic>Zostera</italic> meadows, is one of the main objectives of the Berre lagoon restoration plan....

Missing data are present in almost all statistical analysis. In simple paired design tests, when some subject has one of the involved variables missing in the so-called <italic>partially overlapping samples</italic> scheme, it is usually discarded for the analysis. The lack of consistency between the information...

This paper presents estimates for the parameters included in the Block and Basu bivariate lifetime distributions in the presence of covariates and cure fraction, applied to analyze survival data when some individuals may never experience the event of interest and two lifetimes are associated...

In this study, we deal with the problem of overdispersion beyond extra zeros for a collection of counts that can be correlated. Poisson, negative binomial, zero-inflated Poisson and zero-inflated negative binomial distributions have been considered. First, we propose a multivariate count model...

This study examined the influence of heterogeneity of variance on Type I error rates and power of the independent-samples Student's <italic>t</italic>-test of equality of means on samples of scores from normal and 10 non-normal distributions. The same test of equality of means was performed on corresponding...