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Volumn 26, Issue 8, 1997, Pages 1839-1865

Testing multinomial parameters under order restrictions

Author keywords

Chi bar squared distribution; Directed divergence; Isotonic regression; Likelihood ratio test; Stochastically greater

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; MAXIMUM PRINCIPLE; PARAMETER ESTIMATION; PROBABILITY; REGRESSION ANALYSIS; VECTORS;

EID: 0031367172     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610929708832017     Document Type: Article
Times cited : (6)

References (15)
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    • Barlow, R.E.1    Brunk, H.D.2
  • 2
    • 0348063821 scopus 로고
    • Tests against certain ordered multinomial alternatives
    • Bergman B. (1981). Tests against certain ordered multinomial alternatives. Scand. J. Statist. 8, 218-226.
    • (1981) Scand. J. Statist. , vol.8 , pp. 218-226
    • Bergman, B.1
  • 3
    • 0016387324 scopus 로고
    • Relation of body weight and insulin dose to the frequency of hypoglycemia
    • Boston Collaborative Drug Surveillance Program (1974). Relation of body weight and insulin dose to the frequency of hypoglycemia. J. Amer. Med. Assoc. 228, 192-194.
    • (1974) J. Amer. Med. Assoc. , vol.228 , pp. 192-194
  • 4
    • 0000830907 scopus 로고
    • Modified chi-square test for ordered alternatives
    • Chacko, V. J. (1963). Modified chi-square test for ordered alternatives. Sankhya (B) 28, 185-190.
    • (1963) Sankhya (B) , vol.28 , pp. 185-190
    • Chacko, V.J.1
  • 6
    • 21844507403 scopus 로고
    • Inference for likelihood ratio ordering in the two-sample problem
    • Dykstra, R. L., Kochar, S. C. and Robertson, T. (1995). Inference for likelihood ratio ordering in the two-sample problem. J. Amer. Statist. Assoc. 90, 1034-1040.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 1034-1040
    • Dykstra, R.L.1    Kochar, S.C.2    Robertson, T.3
  • 7
    • 0001099116 scopus 로고
    • Multinomial estimation procedures for isotonic cones
    • Dykstra, R. L. and Lee, C.I.C. (1991). Multinomial estimation procedures for isotonic cones. Stat. & Prob. Let. 11, 155-160.
    • (1991) Stat. & Prob. Let. , vol.11 , pp. 155-160
    • Dykstra, R.L.1    Lee, C.I.C.2
  • 9
    • 0005293668 scopus 로고
    • Chi-squared tests for and against an order restriction on multinomial parameters
    • Lee, C.I.C. (1987). Chi-squared tests for and against an order restriction on multinomial parameters. J. Amer. Statist. Assoc. 82, 611-618.
    • (1987) J. Amer. Statist. Assoc. , vol.82 , pp. 611-618
    • Lee, C.I.C.1
  • 12
    • 0001513949 scopus 로고
    • Testing for and against an order restriction on multinomial parameters
    • Robertson, T. (1978). Testing for and against an order restriction on multinomial parameters. J. Amer. Statist. Assoc. 73, 197-202.
    • (1978) J. Amer. Statist. Assoc. , vol.73 , pp. 197-202
    • Robertson, T.1
  • 13
    • 0001084770 scopus 로고
    • Likelihood ratio tests for and against stochastic ordering between multinomial populations
    • Robertson, T. and Wright, F.T. (1981). Likelihood ratio tests for and against stochastic ordering between multinomial populations. Ann. Statist. 9, 1248-1257.
    • (1981) Ann. Statist. , vol.9 , pp. 1248-1257
    • Robertson, T.1    Wright, F.T.2
  • 14
    • 0000523185 scopus 로고
    • On approximations of the level probabilities and associated distributions in order restricted inference
    • Robertson, T. and Wright, F.T. (1983). On approximations of the level probabilities and associated distributions in order restricted inference. Biometrika 70, 597-606.
    • (1983) Biometrika , vol.70 , pp. 597-606
    • Robertson, T.1    Wright, F.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.