arXiv subjects

A. Dolati

Publications and source records attributed to A. Dolati.

4 recordsLinked to original sources

arXiv2024

A Family of Quantile Dependence Coefficients

A popular measure of association is the tail dependence coefficient which measures the strength of dependence in either the lower-left or upper-right tail of a bivariate distribution. In this paper, we develop the idea of quantile dependence, which generalizes the notion of tail dependence and could be used to detect dependence in specific regions of the domain of a joint distribution function. Properties of the proposed quantile dependence coefficient are studied and several examples illustrate our results.

math.ST↗

arXiv2020

Marshall-Olkin exponential shock model covering all range of dependence

In this paper, we present a new Marshall-Olkin exponential shock model. The new construction method gives the proposed model further ability to allocate the common joint shock on each of the components, making it suitable for application in fields like reliability and credit risk. The given model has a singular part and supports both positive and negative dependence structure. Main dependence properties of the model is given and an analysis of stress-strength is presented. After a performance analysis on the estimator of parameters, a real data is studied. Finally, we give the multivariate version of the proposed model and its main properties.

stat.ME↗

arXiv2020

A General Class of Weighted Rank Correlation Measures

In this paper we propose a class of weighted rank correlation coefficients extending the Spearman's rho. The proposed class constructed by giving suitable weights to the distance between two sets of ranks to place more emphasis on items having low rankings than those have high rankings or vice versa. The asymptotic distribution of the proposed measures and properties of the parameters estimated by them are studied through the associated copula. A simulation study is performed to compare the performance of the proposed statistics for testing independence using asymptotic relative efficiency calculations.

math.ST↗

arXiv2019

On a class of distributions generated by stochastic mixture of the extreme order statistics of a sample of size two

This paper considers a family of distributions constructed by a stochastic mixture of the order statistics of a sample of size two. Various properties of the proposed model are studied. We apply the model to extend the exponential and symmetric Laplace distributions. An extension to the bivariate case is considered.

math.ST↗