Changepoint analysis as a method for isotonic inference

Scandinavian Journal of Statistics

Volumn 29, Issue 1, 2002, Pages 125-138

  Hirotsu, Chihiro ^a   Marumo, Kohei ^b  

^a MEISEI UNIVERSITY   (Japan)

^b Nippon Ginko   (Japan)

Author keywords

Concavity; Extended max t test; Inflection; Markov property; Maximin linear test; Non parametric dose response analysis; Sigmoidicity; Slope change

Indexed keywords

EID: 0036005411     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9469.00084     Document Type: Article

References (21)

1. Abelson, R.P. & Tukey, J.W. (1963). Efficient utilization of non-numerical information in quantitative analysis: general theory and the case of the simple order. Ann. Math. Statist. 34, 1347-1369.
2. Dalbey, W. & Lock, S. (1982). Inhalation toxicology of diesel fuel obscurant aerosol in sprague dawley rats. ORNL/TM-8867, Oak Ridge National Laboratory, Biology Division.
3. Hawkins, A.J. (1977). Testing a sequence of observations for a shift in location. J. Amer. Statist. Assoc. 72, 180-186.
4. Hirotsu, C. (1979). The cumulative chi-squares method and studentized maximal contrast method for testing an ordered alternative in a one-way analysis of variance model. Repo. of Statisti. Applica. Res. Union Japan. Scient. Engrs. 26, 12-21.
5. Hirotsu, C. (1982). Use of cumulative efficient scores for testing ordered alternatives in discrete models. Biometrika 69, 567-577.
6. Hirotsu, C. (1986). Cumulative chi-squared statistic as a tool for testing goodness of fit. Biometrika 73, 165-173.
7. Hirotsu, C. (1988). A class of estimable contrasts in an age-period-cohort model. Ann. Inst. Statist. Math. 40, 451-465.
8. Hirotsu, C. (1997). Two-way change-point model and its application. Austral. J. Statist. 39, 205-218.
9. Hirotsu, C. & Srivastava, M.S. (2000). Simultaneous confidence intervals based on one-sided max t test. Statist. Probab. Lett. 49, 25-37.
10. Hirotsu, C., Kuriki, S. & Haytor, A.C. (1992). Multiple comparison procedures based on the maximal component of the cumulative chi-squared statistic. Biometrika 79, 381-392.
11. Hsu, D.A. (1979). Detecting shifts of parameter in gamma sequences with applications to stock price and air traffic flow analysis. J. Amer. Statist. Assoc. 74, 31-40.
12. Laurie, D.P. (1996). Periodizing transformations for numerical integration. J. Comput. Appl. Math. 66, 337-344.
13. Marcus, R. (1976). The powers of some tests of the equality of normal means against an ordered alternative. Biometrika 63, 177-183.
14. Matzkin, R.L. (1994). Restrictions of economic theory in nonparametric methods, in Handbook of Econometrics 4 (eds R.F. Engle and D.L. MoFaaden), 2523-2558. North-Holland, Amsterdam.
15. Noé M. (1972). The calculation of distributions of two-sided Kolmogorov-Smirnov type statistics. Ann. Math. Statist. 43, 58-64.
16. Ramgopal, P., Laud, P.W. & Smith, A.F.M. (1993). Nonparametric Bayesian bioassay with prior constraints on the shape of the potency curve. Biometrika 80, 489-498.
17. Robertson, T., Wright, F.M. & Dykstra, R.L. (1988). Order restricted statistical inference. Wiley, New York.
18. Schmoyer, R.L. (1984). Sigmoidally constrained maximum likelihood estimation in quantal bioassay. J. Amer. Statist. Assoc. 79, 448-453.
19. Sen, A. & Srivastava, M.S. (1975). On tests for detecting change in mean. Ann. Statist. 3, 98-108.
20. Williams, D.A. (1971). A test for difference between treatment means when several dose levels are compared with a zero dose control. Biometrics 27, 103-119.
21. Worsley, K.J. (1986). Confidence regions and tests for a change point in a sequence of exponential family of random variables. Biometrika 73, 91-104.