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The purpose of this retrospective study was to assess the relationship between the initial position of palatally displaced canines (PDCs) on panoramic radiographs and the duration of the orthodontic treatment and further to estimate the costs of the treatment. Data from panoramic radiographs and patient records of 66 consecutive patients (mean age 14.9 ±… (More)
Recently, Rodríguez-Lallena and´Ubeda-Flores  have introduced a class of bivariate copulas which generalizes some known families such as the Farlie-Gumbel-Morgenstern distributions. In this paper we present multivariate generalizations of this class studying symmetry and dependence concepts, measuring the dependence among the components of each class,… (More)
The construction of distributions with given marginals has been a problem of interest to statisticians for many years. Today, in view of Sklar’s theorem [25, 26], this problem can be reduced to the construction of a copula. Copulas are a special type of aggregation functions, and nowadays are of interest in fuzzy set theory [5, 6, 12, 14, 16]. Nelsen … (More)
In this paper we studied a three-parameter absolutely continuous bivariate distribution whose marginals are generalized exponential distributions. The proposed three-parameter bivariate distribution can be used quite effectively as an alternative to the Block and Basu bivariate exponential distribution. The joint probability density function, the joint… (More)
A new family of fuzzy implication operators is introduced. The proposed class is based on the conditional version of a copula function. Properties of these operators are studied and several examples illustrate our results. MSC2000: Primary 60E05, secondary 62H20.
This paper provides some results on different types of convexity and concavity in the class of multivariate copulas. We also study their properties and provide several examples to illustrate our results.
The modified Sobolev norm is used to construct an index for measuring the degree of radial asymmetry of a copula. We study various aspects of this index and discuss its rank-based estimator. Through simulation and a real data example, we compare the proposed index with the other radial asymmetry measures.
Department of Statistics, Faculty of mathematics, University of Yazd, Yazd, Iran. Department of Statistics, Faculty of sciences, Shiraz University, Shiraz, Iran. Department of statistics, Faculty of Sciences, Shiraz University, Shiraz, Iran. Corresponding Author: email@example.com ABSTRACT:. Let be independent random variables with having half-logistic… (More)