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Volumn 28, Issue 3, 2000, Pages 837-859

Sequential testing problems for Poisson processes

Author keywords

Bayes decision rule; Free boundary differential difference Stephan problem; Optimal stopping; Point (counting) (Cox) process; Poisson process; Principles of continuous and smooth fit; Sequential testing; SPRT (sequential probability ratio test)

Indexed keywords


EID: 0034359462     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1015952000     Document Type: Article
Times cited : (69)

References (18)
  • 1
    • 0001085850 scopus 로고
    • Bayes and minimax solutions of sequential decision problems
    • ARROW, K. J., BLACKWELL, D. and GIRSHICK, M. A. (1949). Bayes and minimax solutions of sequential decision problems. Econometrica 17 213-244.
    • (1949) Econometrica , vol.17 , pp. 213-244
    • Arrow, K.J.1    Blackwell, D.2    Girshick, M.A.3
  • 2
    • 3943103775 scopus 로고
    • Optimal properties of SPRT for some stochastic processes
    • BHAT, B. R. (1988). Optimal properties of SPRT for some stochastic processes. Contemp. Math. 80 285-299.
    • (1988) Contemp. Math. , vol.80 , pp. 285-299
    • Bhat, B.R.1
  • 5
    • 0007255130 scopus 로고
    • Sequential decision problems for processes with continuous time parameter. Testing hypotheses
    • DVORETZKY, A., KIEFER, J. and WOLFOWITZ, J. (1953). Sequential decision problems for processes with continuous time parameter. Testing hypotheses. Ann. Math. Statist. 24 254-264.
    • (1953) Ann. Math. Statist. , vol.24 , pp. 254-264
    • Dvoretzky, A.1    Kiefer, J.2    Wolfowitz, J.3
  • 6
    • 0038426772 scopus 로고
    • On the optimality of the SPRT for processes with continuous parameter
    • IRLE, A. and SCHMITZ, N. (1984). On the optimality of the SPRT for processes with continuous parameter. Math. Operationsforsch. Statist. Ser. Statist. 15 91-104.
    • (1984) Math. Operationsforsch. Statist. Ser. Statist. , vol.15 , pp. 91-104
    • Irle, A.1    Schmitz, N.2
  • 11
    • 84894464610 scopus 로고
    • Continuous sequential testing of a Poisson process to minimize the Bayes risk
    • ROMBERG, H. F. (1972). Continuous sequential testing of a Poisson process to minimize the Bayes risk. J. Amer. Statist. Assoc. 67 921-926.
    • (1972) J. Amer. Statist. Assoc. , vol.67 , pp. 921-926
    • Romberg, H.F.1
  • 12
    • 3943072771 scopus 로고
    • Two problems of sequential analysis
    • SHIRYAEV, A. N. (1967). Two problems of sequential analysis. Cybernetics 3 63-69.
    • (1967) Cybernetics , vol.3 , pp. 63-69
    • Shiryaev, A.N.1
  • 17
    • 0000193326 scopus 로고
    • Optimum character of the sequential probability ratio test
    • WALD, A. and WOLFOWITZ, J. (1948). Optimum character of the sequential probability ratio test. Ann. Math. Statist. 19 326-339.
    • (1948) Ann. Math. Statist. , vol.19 , pp. 326-339
    • Wald, A.1    Wolfowitz, J.2
  • 18
    • 0038088086 scopus 로고
    • Bayes solutions of sequential decision problems
    • WALD, A. and WOLFOWITZ, J. (1950). Bayes solutions of sequential decision problems. Ann. Math. Statist. 21 82-99.
    • (1950) Ann. Math. Statist. , vol.21 , pp. 82-99
    • Wald, A.1    Wolfowitz, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.