The BALM copula

The class of probability distributions possessing the almost-lack-of-memory property appeared about 20 years ago. It reasonably took place in research and modeling, due to its suitability to represent uncertainty in periodic random environment. Multivariate version of the almost-lack-of-memory property is less known, but it is not less interesting. In this paper we give the copula of the bivariate almost-lack-of-memory (BALM) distributions and discuss some of its properties and applications. An example shows how the Marshal-Olkin distribution can be turned into BALM and what is its copula

Fetal fibronectin FFN. Biochemical markers of preterm birth

The use of biochemical markers for predicting preterm birth has a potential advantage because it provides direct evidence of changes in the extracellular matrix of the surface between fetal membranes and decidual tissue.  [1, 12] fFN is a protein that is produced during pregnancy and acts as a biological glue such as the amniotic sac kept attached to the endometrium. fFN can be found in cervico-vaginal secretions up to 22 weeks and late in the last trimester. [7] The purpose of this study is to determine the level of fetal fibronectin (fFN) in cervical mucus as a specific indicator of preterm birth in pregnant women with clinical symptoms. The study was attended by 90 women divided into two groups. First group of pregnant women at term gestation 24-34 weeks with clinical symptoms the PB and the second group of pregnant women with normal pregnancy occurs. In all women was conducted Full Term Test. The results were statistically processed by using SPSS v. 17. The presence of symptoms of preterm labor showed difference in the percentage of positive results of fFN test (p <0.05), women with clinical symptoms have - a high percentage of positive tests. When conducting Full term pregnancy test with positive results in the highest percentage with overt clinical RTD, Roma and second and third birth. Furthermore, pregnant women with a positive test result mainly born at 35 weeks, newborns weighed an average of 2 550.1 g, which explicitly includes them in the premature population

Transfer of Global Measures of Dependence into Cumulative Local

We explore an idea of transferring some classic measures of global dependence between random variables X1,X2,…,Xn into cumulative measures of dependence relative at any point (X1,X2,…,Xn) in the sample space. It allows studying the behavior of these measures throughout the sample space, and better understanding and use of dependence. Some examples on popular copula distributions are also provided

Zu einigen Legenden und Überlieferungen von Wasserquellen in BulgarienMyths and Legends About Water Sources in Bulgaria

In this article the author analyses Bulgarian myths, legends and festive rites to illustrate the traditional beliefs and pagan notions about water, which lie at the core of many myths and legends about water sources, elves, dragons and water bulls as well as in Christian legends about gods and saints: Perun, Jesus, the Virgin Mary, St. George, St. Ivan Rilski, St. Naum, and others

Discrete Distributions Related to Success Runs of Length к in a Multi-State Markov Chain

[Kolev Nikolai; Колев Николай]; [Minkova Leda; Минкова Леда

The BALM Copula

The class of probability distributions possessing the almost-lack-of-memory property appeared about 20 years ago. It reasonably took place in research and modeling, due to its suitability to represent uncertainty in periodic random environment. Multivariate version of the almost-lack-of-memory property is less known, but it is not less interesting. In this paper we give the copula of the bivariate almost-lack-of-memory (BALM) distributions and discuss some of its properties and applications. An example shows how the Marshal-Olkin distribution can be turned into BALM and what is its copula

Random sums of exchangeable variables and actuarial applications

In this paper we study the accumulated claim in some fixed time period, skipping the classical assumption of mutual independence between the variables involved. Two basic models are considered: Model I assumes that any pair of claims are equally correlated which means that the corresponding square-integrable sequence is exchangeable one. Model 2 states that the correlations between the adjacent claims are the same. Recurrence and explicit expressions for the joint probability generating function are derived and the impact of the dependence parameter (correlation coefficient) in both models is examined. The Markov binomial distribution is obtained as a particular case under assumptions of Model 2. (C) 2007 Elsevier B.V. All rights reserved