| Title:
|
Rank tests for scale: Hájek's influence and recent developments (English) |
| Author:
|
Witting, Hermann |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
31 |
| Issue:
|
3 |
| Year:
|
1995 |
| Pages:
|
269-291 |
| . |
| Category:
|
math |
| . |
| MSC:
|
62G10 |
| idZBL:
|
Zbl 0851.62032 |
| idMR:
|
MR1337981 |
| . |
| Date available:
|
2009-09-24T18:55:29Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124716 |
| . |
| Reference:
|
[1] K. Behnen: Asymptotic optimality and ARE of certain rank-order tests under contiguity.Ann. Math. Statist. 42 (1971), 325-329. Zbl 0224.62019, MR 0275593 |
| Reference:
|
[2] K. Behnen, G. Neuhaus: Rank Tests with Estimated Scores and Their Application.Teubner, Stuttgart 1989. Zbl 0692.62041, MR 1003116 |
| Reference:
|
[3] P. J. Bickel, E. L. Lehmann: Descriptive statistics for nonparametric models IV. Spread.In: Contributions to Statistics, The Hájek Memorial Volume (J. Jurečková, ed.), Academia, Prague 1979, pp. 33-40. Zbl 0415.62015, MR 0561256 |
| Reference:
|
[4] H. U. Burger: Nichtparametrische Tests für Zweistichproben-Dispersionsmodelle.Ph.D. Dissertation, Freiburg i.Br. 1991. Zbl 0746.62049 |
| Reference:
|
[5] H. U. Burger: Dispersion orderings with applications to nonparametric tests.Statist. Probab. Lett. 16 (1993), 1-9. Zbl 0764.62041, MR 1208492 |
| Reference:
|
[6] H. U. Burger: Nonparametric tests for two-sample dispersion problems: Problems with known dispersion centers.Nonparametric Statistics 2 (1993), 249-269. MR 1241533 |
| Reference:
|
[7] H. U. Burger U. Mülller-Funk, H. Witting: On locally optimal nonparametric tests.Methods and Models of Operations Research 56 (1992), 163-184. MR 1155838 |
| Reference:
|
[8] J. V. Deshpande, K. Kusum: A test for the nonparametric two-sample scale problem.Austral. J. Statist. 26 (1984), 16-24. Zbl 0555.62038, MR 0746012 |
| Reference:
|
[9] B. S. Duran: A survey of nonparametric tests for scale.Comm. Statist. Theory Methods A5 (1976), 1287-1312. Zbl 0362.62044, MR 0445707 |
| Reference:
|
[10] J. Hájek: Asymptotically most powerful rank-order tests.Ann. Math. Statist. 33 (1962), 1124-1147. MR 0143304 |
| Reference:
|
[11] J. Hájek: Miscellaneous problems of rank test theory.In: Nonparametric Technics (M.L. Puri, ed.), Cambridge University Press 1970, pp. 3-17. MR 0279947 |
| Reference:
|
[12] J. Hájek, Z. Šidák: Theory of Rank Tests.Academic Press, New York 1967. MR 0229351 |
| Reference:
|
[13] W. Hoeffding: 'Optimum' nonparametric tests.In: Proc. of the Second Berkeley Symposium on Mathematical Statistics and Probability (J. Neyman, ed.), Berkeley University Press 1952, pp. 83-92. MR 0044799 |
| Reference:
|
[14] J. Jurečková: Asymptotic linearity of a rank statistic in regression parameter.Ann. Math. Statist. 40 (1969), 1889-1900. MR 0248931 |
| Reference:
|
[15] J. Jurečková: Nuisance medians in rank testing scale.In: Contributions to Statistics, The Hajek Memorial Volume (J. Jurečková, ed.), Academia, Prague 1979, pp. 109-117. MR 0561264 |
| Reference:
|
[16] T. Kamae U. Krengel, G. L. O'Brien: Stochastic inequalities on partially ordered spaces.Ann. Probab. 5 (1977), 899-912. MR 0494447 |
| Reference:
|
[17] E. L. Lehmann: Testing Statistical Hypotheses.Second edition. Wiley, New York 1986. Zbl 0608.62020, MR 0852406 |
| Reference:
|
[18] L. E. Moses: Rank tests of dispersion.Ann. Math. Statist. 34 (1963), 973-983. Zbl 0203.21104, MR 0154370 |
| Reference:
|
[19] U. Müller-Funk F. Pukelsheim, H. Witting: Locally most powerful tests for two-sided hypotheses.In: Proc. 4th Pannonian Symp. on Math. Statist. (F. Konecny et al., eds.), Akademia Budapest 1983, pp. 31-56. MR 0851017 |
| Reference:
|
[20] J. Neyman: Optimal asymptotic tests of composite statistical hypotheses.In: Probability and Statistics; The Harald Cramer Volume (U. Grenander, ed.), Wiley, New York 1959, pp. 213-234. Zbl 0104.12602, MR 0112201 |
| Reference:
|
[21] J. Pfanzagl: Contributions to a General Asymptotic Statistical Theory.(Lecture Notes in Statist. 13), Springer, New York 1982. Zbl 0512.62001, MR 0675954 |
| Reference:
|
[22] H. Raghavachari: The two-sample scale problem when locations are unknown.Ann. Math. Statist. 36 (1965), 1236-1242. Zbl 0147.18701, MR 0178538 |
| Reference:
|
[23] W. Schäfer: Nicht-parametrische Tests für Skalenmodelle im Zweistichprobenproblem.Ph.D. Dissertation, Freiburg i.Br. 1979. |
| Reference:
|
[24] H. Witting: Mathematische Statistik I: Parametrische Verfahren bei festem Stichprobenumfang.Teubner, Stuttgart 1985. Zbl 0581.62001, MR 0943833 |
| Reference:
|
[25] H. Witting, U. Müller-Funk: Mathematische Statistik II: Asymptotische Statistik: Parametrische Statistik und nichtparametrische Modelle.Teubner, Stuttgart 1995. MR 1363716 |
| Reference:
|
[26] H. Witting, U. Müller-Funk: Mathematische Statistik III: Prozeßapproximationen, Differentiationsansätze und nichtparametrische Testprobleme.Teubner, Stuttgart, in preparation. MR 1363716 |
| . |
