Characterization of laws by balancing weighting against a binary operation

Statistical Papers

Volumn 37, Issue , 1996, Pages 123-140

  Pakes, Anthony G ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

Characterization and structure theory; Product integration; Weighted and length biased distributions

Indexed keywords

EID: 0642280846     PISSN: 09325026     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02926577     Document Type: Article

References (11)

1. Chaubey, Y.N. & Srivastava, T.N. On the multiplicative damage model and characterization of some distributions useful in growth models. Quaderni di Statist. Matem. Appl. alle Sci. Economico-Sociali., 13, 23-32 (1991)
2. Dollard, J.D. & Friedman, C.N. (1979) Product Integration with Applications to Differential Equations. Addison-Wesley, Reading.
3. Gill, R. & Johansen, S. (1990) A survey of product-integration with a view toward application in survival analysis. Ann. Statist. 18, 1501-1555.
4. Kirmani, S. & Ahsanullah, M. (1987) A note on weighted distributions. Commun. Statist.-Theor. Meth. 16, 275-280.
5. Mahfoud, M. & Patil, G.P. (1982) On weighted distributions. In Statistics and Probability: Essays in Honor of C.R. Rao, eds. G. Kallianpur, P.R. Krishnaiah & J.K. Ghosh, North-Holland Publ. Co., Amsterdam, pp. 479-492.
6. Pakes, A.G. (1996a) Characterization by invariance under length-biasing and random scaling. J. Statist. Inf. & Planning. To appear.
7. Pakes, A.G. (1996b) Length biasing and laws equivalent to the log-normal. J. Math. Anal. Appl. To appear.
8. Pakes, A.G. & Khattree, R. (1992) Length-biasing, characterization of laws and the moment problem. Austral. J. Statist. 34, 307-322.
9. Pakes, A.G., Sapatinas, T. & Fosam, E.B. (1996) Characterizations, length-biasing, and infinite divisibility. Statist. Papers, To appear.
10. Patil, G.P. & Rao, C.R. (1977) The weighted distributions: A survey of their applications. In Applications of Statistics, ed. P.R. Krishnaiah, North-Holland Publ. Co., Amsterdam, pp. 383-405.
11. Rao, C.R. (1985) Weighted distributions arising out of methods of ascertainment: What population does a sample represent? In A Celebration of Statistics: The ISI Centenary Volume, eds. A.C. Atkinson and S.E. Fienberg, Springer-Verlag, New York, pp. 543-569.