Towards a unification of certain characterizations by conditional expectations

Annals of the Institute of Statistical Mathematics

Volumn 48, Issue 1, 1996, Pages 157-168

  Dimaki, Caterina ^a   Xekalaki, Evdokia ^a  

^a ATHENS UNIVERSITY OF ECONOMICS AND BUSINESS   (Greece)

Author keywords

Beta distribution; Burr distribution; Characterization; Conditional expectation; Exponential distribution; Geometric distribution; Pareto distribution; Power function distribution; Uniform distribution; Weibull distribution; Yule distribution

Indexed keywords

WEIBULL DISTRIBUTION;

BETA DISTRIBUTION; CONDITIONAL EXPECTATION; DISCRETE DISTRIBUTION; EXPONENTIAL DISTRIBUTION; GEOMETRIC DISTRIBUTION; PARETO DISTRIBUTION; PROBABILITY DISTRIBUTION; UNIFORM DISTRIBUTION;

PROBABILITY DENSITY FUNCTION;

EID: 0030374110     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00049296     Document Type: Article

References (15)

1. Dallas, A. C. (1976). Characterizing the Pareto and power distributions, Ann. Inst. Statist. Math., 28, 491-497.
2. Dimaki, C. (1977). Characterizations and estimation procedures for the continuous Pareto distributions, M.Sc. Thesis, Department of Statistics, University of Warwick, England.
3. Dimaki, C. (1991). Characterizations of distributions with emphasis on the Pareto and the Yule types, Ph.D. Thesis, Department of Statistics, Athens University of Economics, Greece.
4. Dimaki, C. and Xekalaki, E. (1991). On a refinement of a theorem by Kotlarski, Proceedings of the 48th Session of the International Statistical Institute, 166-167, International Statistical Institute, Cairo.
5. Galambos, J. and Kotz, S. (1978). Characterizations of probability distributions, Lecture Notes Math., (eds. A. Dold and B. Eckmann), 1546, Springer, Berlin.
6. Gupta, R. C. (1975). On characterization of distributions by conditional expectations, Comm. Statist., 4, 99-103.
7. Hamdan, M. A. (1972). On a characterization by conditional expectations, Technometrics, 14, 497-499.
8. Kotlarski, I. I. (1973). On a characterization of some probability distributions by conditional expectations, Sankhya Ser. A, 35, 461-466.
9. Kotlarski, I. I. (1975). On characterization of probability distributions by conditional expectations, Statistical Distributions in Scientific Work, Vol. 3, (eds. G. P. Patil, E. P. Patil, S. Kotz and J. K. Ord), Reidel, Holland.
10. Laurent, A. G. (1974). On characterization of some distributions by truncation properties, J. Amer. Statist. Assoc., 69, 823-827.
11. Shanbhag, D. N. (1970). The characterizations for exponential and geometric distributions, J. Amer. Statist. Assoc., 65, 1256-1259.
12. Shanbhag, D. N. and Rao, M. B. (1975). A note on characterizations of probability distributions based on conditional expected values, Sankhya Ser. A, 37, 297-300.
13. Xekalaki, E. (1984). Linear regression and the Yule distribution, J. Econometrics, 24, 397-403.
14. Xekalaki, E. and Panaretos, J. (1988). On the association of the Pareto and the Yule distributions, Theoriya Veroyatnostei i ee Primeneniya, 33, 206-210 (also in Theory Probab. Appl., 33, 191-195).
15. Xekalaki, E. and Panaretos, J. (1988). On the association of the Pareto and the Yule distributions, Theoriya Veroyatnostei i ee Primeneniya, 33, 206-210 (also in Theory Probab. Appl., 33, 191-195).