Multinomial estimation procedures for two stochastically ordered distributions

Statistics and Probability Letters

Volumn 30, Issue 4, 1996, Pages 353-361

  Dykstra, R L ^a   Lee, Chu In Charles ^b   Yan, Xiaosong ^b  

^a UNIVERSITY OF IOWA   (United States)

^b MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

Author keywords

Convex cone; Directed divergence measures; Multinomial distribution; Stochastic ordering; Two sample problem

Indexed keywords

EID: 0030588788     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(95)00239-1     Document Type: Article

References (11)

1. Barlow, R.E. and H.D. Brunk (1972), The isotonic regression problem and its dual, J. Amer. Statist. Assoc. 67, 140-147.
2. Bohning, D. and H. Holling (1986), On minimizing chi-squares distances under the hypothesis of homogeneity or independence for a two-way contingency table, Statist. Probab. Lett. 4, 253-258.
3. Cressie, N. and T.R.C. Read (1984), Multinomial goodness of fit models, J. Roy Statist. Soc. (B) 46, 440-464.
4. Dykstra, R.L. (1985), Computational aspects of I-projections, J. Statist. Comput. Simul. 21, 265-274.
5. Dykstra, R.L. and C.I.C. Lee (1991), Multinomial estimation procedures for isotonic cones, Statist. Probab. Lett. 11, 155-160.
6. Kuhn, H.W. and A.W. Tucker (1951), Nonlinear programming, 2nd Berkeley Symp., Math. Statist. Probab. (University of California Press, Berkeley) 481-492.
7. Lee, C.I.C. (1987a), Chi-square tests for and against an order restriction on multinomial parameters, J. Amer. Statist. Assoc. 82, 611-618.
8. Lee, C.I.C. (1987b), Maximum likelihood estimates for stochastically ordered multinomial populations with fixed and random zeros, in: I.B. MacNeill and G.J. Umphrey eds., Foundation of Statistical Inference (Reidel, Boston) 189-197.
9. Robertson, T. (1965), A note on the reciprocal of the conditional expectation of a positive random variable, Ann. Math. Statist. 36, 1302-1305.
10. Robertson, T. and F.T. Wright (1981), Likelihood ratio tests for and against a stochastic ordering between multinomial populations, Ann. Statist. 9, 1248-1257.
11. Robertson, T., F.T. Wright and R.L. Dykstra (1988), Order Restricted Statistical Inference (Wiley, Chichester).