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Aspects of Dependence in Lomax Distribution
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 Title & Authors
Aspects of Dependence in Lomax Distribution
Asadian, N.; Amini, M.; Bozorgnia, A.;
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 Abstract
In this paper we study some positive dependence concepts, introduced by Caperaa and Genest (1990) and Shaked (1977b), for bivariate lomax distribution. In particular, we obtain some measures of association for this distribution and derive the tail-dependence coefficients by using copula function. We also compare Spearman`s with Kendall`s for bivariate lomax distribution.
 Keywords
Bivariate lomax distribution;positive quadrant dependence;dependent by total positivity of order two;decreasing failure rate;copula;tail dependence of coefficient;
 Language
English
 Cited by
1.
Aspects of Dependence in Generalized Farlie-Gumbel-Morgenstern Distributions, Communications in Statistics - Simulation and Computation, 2011, 40, 8, 1192  crossref(new windwow)
 References
1.
Arnold, B. C. and Zahedi, H. (1988). On multivariate mean remaining life functions. Journal of Multivariate Analysis, 25, 1-9 crossref(new window)

2.
Barlow, R. E. and Proschan, F. (1975). Statistical Theory of Reliability and Life Testing: Probability Models. Holt, Rinehart and Winston, New York

3.
Basu, A. P. (1971). Bivariate failure rate. Journal of the American Statistical Association, 66, 103-104 crossref(new window)

4.
Brindley, Jr., E. C. and Thompson, Jr., W. A. (1972). Dependence and aging aspects of multivariate survival. Journal of the American Statistical Association, 67, 822-830 crossref(new window)

5.
Caperaa, P. and Genest, C. (1990). Concepts de dendance et ordres stochastiques pour des lois bidimensionnelles. The Canadian Journal of Statistics, 18, 315-326 crossref(new window)

6.
Clayton, D. G. (1978). A model for association in bivariate life tables and its appli- cation in epidemiological studies of familial tendency in chronic disease incidence. Biometrika, 65, 141-151 crossref(new window)

7.
Drouet, Mari, D. and Kotz, S. (2001). Correlation and Dependence. Imperial College Press, London

8.
Frahm, G. (2006). On the extremal dependence coefficient of multivariate distributions. Statistics & Probability Letters, 76, 1470-1481 crossref(new window)

9.
Fredricks, G. A. and Nelsen, R. B. (2007). On the relationship between Spearman's rho and Kendall's tau for pairs of continuous random variables. Journal of Statistical Planning and Inference, 137, 2143-2150 crossref(new window)

10.
Gupta, R. C. (2003). On some association measures in bivariate distributions and their relationships. Journal of Statistical Planning and Inference, 117, 83-98 crossref(new window)

11.
Harris, R. (1970). A multivariate definition for increasing hazard rate distribution functions. The Annals of Mathematical Statistis, 41, 713-717 crossref(new window)

12.
Johnson N. L. and Kotz, S. (1975). A vector valued multivariate hazard rate. Journal of Multivariate Analysis, 5, 53-66 crossref(new window)

13.
Karlin, S. (1968). Total Positivity. Stanford University Press, California

14.
Lehmann, E. L. (1966). Some concepts of dependence. The Annals of Mathematical Statistis, 37, 1137-1153 crossref(new window)

15.
Lindley, D.V. and Singpurwalla, N.D. (1986). Multivariate distributions for the life lengths of component of a system sharing a common environment. Journal of Applied Probability, 23, 418-431 crossref(new window)

16.
Nadarjah, S. (2005). Sums, products and ratios for the bivariate lomax distribution. Computational Statistics & Data Analysis, 49, 109-129 crossref(new window)

17.
Nayak, T. K. (1987). Multivariate lomax distribution: Properties and usefulness in reliability theory. Journal of Applied Probability, 24, 170-177 crossref(new window)

18.
Nelsen, R. B. (1999). An Intruduction to Copulas. Springer-Verlag Berlin and Heidel- berg GmbH & Co. KG, New-York

19.
Oakes, D. (1989). Bivariate survival models induced by frailties. Journal of the American Statistical Association, 84, 487-493 crossref(new window)

20.
Shaked, M. (1977a). A concept of positive dependence for exchangeable random variables. Annals of Statistics, 5, 505-515 crossref(new window)

21.
Shaked, M. (1977b). A family of concept of dependence for bivariate distributions. Journal of the American Statistical Association, 72, 642-650 crossref(new window)

22.
Winterbottom, A. (1984). The interval estimation of system reliability from component test data. Operation Research, 32, 628-640 crossref(new window)