Characterizations of bivariate Pareto and Yule distributions

Communications in Statistics - Theory and Methods

Volumn 33, Issue 12, 2004, Pages 3033-3042

  Xekalaki, Evdokia ^a   Dimaki, Caterina ^a  

^a ATHENS UNIVERSITY OF ECONOMICS AND BUSINESS   (Greece)

Author keywords

Bivariate generalized Waring distribution; Bivariate Waring distribution; Bivariate weighted distributions; Bivariate Yule distribution; Characterization; Form invariance; Mardia's Type I bivariate Pareto; Partial sums distributions

Indexed keywords

CHARACTERIZATION; DATA ACQUISITION; FUNCTIONS; MATHEMATICAL OPERATORS; PROBABILITY; RANDOM PROCESSES; SAMPLING;

BIVARIATE GENERALIZED WARING DISTRIBUTION; BIVARIATE PARETO DISTRIBUTIONS; BIVARIATE WARING DISTRIBUTION; BIVARIATE WEIGHTED DISTRIBUTIONS; BIVARIATE YULE DISTRIBUTION; FORM INVARIANCE; MARDIA'S TYPE I BIVARIATE PARETO; PARTIAL-SUMS DISTRIBUTIONS;

PARETO PRINCIPLE;

EID: 11444255505     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/STA-200038880     Document Type: Article

References (22)

1. Arnold, B. C., Nagaraja, H. N. (1991). On some properties of bivariate weighted distributions. Commun. Statist. Theory Meth. 20(5&6):1853-1860.
2. Cox, D. R. (1962). Renewal Theory. New York: Barnes & Noble.
3. Dimaki, C., Xekalaki, E. (1996). Additive and multiplicative distortion of observations: some characteristic properties. J. Appl. Statist. Sci. 5(2):113-127.
4. Dimaki, C., Xekalaki, E. (2004). Identifying the Yule distribution by properties of certain reliability measures. J. Statist. Planning Infer. To appear.
5. Fisher, R. A. (1934). The effects of methods of ascertainment upon the estimation of frequencies. Ann. Eugenics 6:13-25.
6. Hart, P. E. (1978). Moment distributions in economics: an exposition. J. Roy. Statist. Soc. A 138:423-434.
7. Kocherlacota, S. (1995). Discrete bivariate weighted distributions under multiplicative weight function. Commun. Statist. Theory Meth. 24(2):533-551.
8. Krishnaji, N. A. (1970a). Characteristic property of the Yule distribution. Sankyā A 32:343-346.
9. Krishnaji, N. (1970b). Characterization of the pareto distribution through a model of under-reported incomes. Econometrica 38:251-255.
10. Mahfoud, M., Patil, G. P. (1982). On weighted distributions. In: Kallianpur, G., Krishnaji, P. R., Ghosh, J. K., eds. Statistics and Probability: Essays in Honor of C.R. Rao, Amsterdam: North Holland, pp. 479-492.
11. Mardia, K. V. (1965). Families of Bivariate Distributions. London: Griffin.
12. Patil, G. P. (1991). Encountered data, statistical ecology, environmental statistics, and weighted distribution methods. Environmentrics 24:377-423.
13. Patil, G. P., Ord, J. K. (1976). On size-biased sampling and related form-invariant weighted distributions. Sankyā, Series B 38:48-61.
14. Patil, G. P., Rao, C. R. (1978). Weighted distributions and size biased sampling with applications to wildlife populations and human families. Biometrics 34:179-184.
15. Patil, G. P., Rao, C. R., Ratnaparki, M. V. (1986). On discrete weighted distributions and their use in model choice for observed data. Commun. Statist. Theory Meth. 15(3):907-918.
16. Rao, C. R. (1963). On discrete distributions arising out of methods of ascertainment. Sankyā A 25:311-324.
17. Xekalaki, E. (1983). A property of the Yule distribution and its applications. Commun. Statist., Part A (Theory Methods) A12(10):1181-1189.
18. Xekalaki, E. (1984a). The bivariate, generalized Waring distribution and its application to accident theory. J. Royal Statist. Soc. Series A (General) 147(3):488-498.
19. Xekalaki, E. (1984b). Models leading to the bivariate generalized Waring distribution. Utilitas Mathematica 25:263-290.
20. Xekalaki, E. (1985). Some bivariate extensions of the generalized Waring distribution. Studia Scientiarum Mathematicarum Hungarica 20:173-181.
21. Xekalaki, E. (1986). The bivariate Yule distribution and some of its properties. Statistics 17(2):311-317.
22. Xekalaki, E., Panaretos, J. (1988). On the association of the Pareto and the Yule distributions. Teoriya Veroyatnostei i ee Primeneniya 33(1):206-210.