Marshall–Olkin bivariate Weibull distributions and processes

In this paper we introduce a new probability model known as type 2 Marshall–Olkin bivariate Weibull distribution as an extension of type 1 Marshall–Olkin bivariate Weibull distribution of Marshall–Olkin (J Am Stat Assoc 62:30–44, 1967). Various properties of the new distribution are considered. Bivariate minification processes with the two types of Weibull distributions as marginals are constructed and their properties are considered. It is shown that the processes are strictly stationary. The unknown parameters of the type 1 process are estimated and their properties are discussed. Some numerical results of the estimates are also given.     

Child Sexual Abuse News: A Systematic Review of Content Analysis Studies

Public knowledge and attitudes toward child sexual abuse are shaped through media depictions and coverage. Since the media are the main source of information about child sexual abuse, studies of child sexual abuse news can help us understand how news is created, how child sexual abuse is presented to the public, and what is the possible impact of such presentation and coverage on the audience. A systematic review of content analysis research is conducted using predefined criteria in order to identify quality studies, main findings, research gaps and to develop recommendations for future studies. International databases were systematically searched using keywords in September 2017. A total of 24 original quantitative content analysis studies published in the English language were included in the review and evaluated according to research methodology. The framework of child sexual abuse news media studies is developed and main findings are highlighted: (1) presentation and coverage of child sexual abuse (n = 7); (2) prevalence of coverage of CSA cases reported to the authorities (n = 2); (3) presentation and coverage of child abuse and sexual crimes where child sexual abuse is only a subtopic (n = 9); (4) presentation and coverage of specific child sexual abuse cases or issues (n = 6). Although studies represent valuable contribution, most did not meet content analysis design and reporting standards or both (e.g., calculating intercoder reliability), which seriously compromises validity and replicability requirements. Recommendation for future studies and most common errors in conducting content analysis are emphasized.     

On some moving-average processes with exponentially distributed innovations

Summary In this paper we discusse the stationary sequence of random variables which are formed from an independent identically distributed sequence, according to the moving-average model of ordern. Some properties of the process are considered. The joint bivariate exponential distribution is given, as well as the distribution of the sum.     

Sustainable Development of Maritime Tourism in Croatia 2007–2015

This paper’s objective has been an analysis of the sustainable development of Croatia’s maritime tourism. In order to define the main characteristics and determinants of the maritime tourism, a model of growth has been used. The evaluation and analysis of the relevant variables and the resulting growth rates have been aimed at a scientific formulation of the results of the sustainable development analysis of the maritime tourism in the Republic of Croatia. Combinations of a number of scientific methods have been used, among which the most relevant are statistical and mathematical methods, method of model drawing, analysis and synthesis, induction and deduction. The basic hypothesis has been confirmed through the direct growth rates of the chosen model variables. It has been confirmed that, based on scientific insights into the sustainable development of the maritime tourism, it is possible to suggest a new model of its sustainable development in Croatia for the period 2007–2015.      

A generalized semi-Pareto minification process

In this paper a generalization of the semi-Pareto autoregressive minification process of the first order is given. The necessary and sufficient condition for stationarity of the process is determined. It is shown that the process is ergodic and uniformly mixing. The joint survival function and the joint density function of the random variables X _n+h and X _n are determined. The extremes of the random variables X ₁, X ₂, ..., X _n and the geometric extremes of random variables X ₁, X ₂, ..., X _N are derived and their asymptotic distributions are discussed. The estimation of the parameters is discussed and some numerical results are given.     

Precision Index in the Multivariate Context

General multivariate quantiles are employed to extend the classic univariate process precision index to the multivariate context under very mild conditions. Using halfspace depth regions for this purpose is especially recommended because it leads to both computational simplicity and natural generalizations to the tool-wear setup thanks to some recent advances in multiple-output and projectional quantile regression. A few examples are included to illustrate how the methodology might work in practice.     

Discrimination among bivariate beta-generated distributions

Some properties of the general families of bivariate distributions generated by beta dependent random variables are derived and discussed here. Some classic measures of dependence and information are derived, and their behaviours and properties are discussed as well. Finally, a discrimination procedure within this general family of bivariate distributions is proposed based on Shannon entropy. A real-life example is presented to illustrate the model as well as the inferential results developed here.     

Sexual and Reproductive Strategies Among Serbian Gypsies

This paper deals with a full range of sexual and reproductive behaviors among different tribes of Gypsies in Serbia. The examined traits include rates of fertility, mortality, age distribution, education, crime rates, and parental care. In addition, Gypsy traditions of culturally prescribed sexual behavior are also studied. It is found that Gypsy tribes employ different reproductive strategies, ranging from an extreme, for humans, r (reproductive) strategy to a more typical K (parental) strategy. The reasons bringing about these differences come from the Gypsies' readiness to adjust their behavior and reproduction in order to create the most favorable strategy in a given environment. This paper elucidates and contrasts the more typical r-selected Gypsies with a group of K-selected Gypsies living in a Serbian village.