Rank tests for scale: Hájek's influence and recent developments
Kybernetika (1995)
- Volume: 31, Issue: 3, page 269-291
- ISSN: 0023-5954
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topWitting, Hermann. "Rank tests for scale: Hájek's influence and recent developments." Kybernetika 31.3 (1995): 269-291. <http://eudml.org/doc/27871>.
@article{Witting1995,
author = {Witting, Hermann},
journal = {Kybernetika},
keywords = {rank tests; two-sample dispersion problems; dispersion orderings},
language = {eng},
number = {3},
pages = {269-291},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Rank tests for scale: Hájek's influence and recent developments},
url = {http://eudml.org/doc/27871},
volume = {31},
year = {1995},
}
TY - JOUR
AU - Witting, Hermann
TI - Rank tests for scale: Hájek's influence and recent developments
JO - Kybernetika
PY - 1995
PB - Institute of Information Theory and Automation AS CR
VL - 31
IS - 3
SP - 269
EP - 291
LA - eng
KW - rank tests; two-sample dispersion problems; dispersion orderings
UR - http://eudml.org/doc/27871
ER -
References
top- K. Behnen, Asymptotic optimality and ARE of certain rank-order tests under contiguity, Ann. Math. Statist. 42 (1971), 325-329. (1971) Zbl0224.62019MR0275593
- K. Behnen, G. Neuhaus, Rank Tests with Estimated Scores and Their Application, Teubner, Stuttgart 1989. (1989) Zbl0692.62041MR1003116
- 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. (1979) Zbl0415.62015MR0561256
- H. U. Burger, Nichtparametrische Tests für Zweistichproben-Dispersionsmodelle, Ph.D. Dissertation, Freiburg i.Br. 1991. (1991) Zbl0746.62049
- H. U. Burger, Dispersion orderings with applications to nonparametric tests, Statist. Probab. Lett. 16 (1993), 1-9. (1993) Zbl0764.62041MR1208492
- H. U. Burger, Nonparametric tests for two-sample dispersion problems: Problems with known dispersion centers, Nonparametric Statistics 2 (1993), 249-269. (1993) MR1241533
- H. U. Burger U. Mülller-Funk, H. Witting, On locally optimal nonparametric tests, Methods and Models of Operations Research 56 (1992), 163-184. (1992) MR1155838
- J. V. Deshpande, K. Kusum, A test for the nonparametric two-sample scale problem, Austral. J. Statist. 26 (1984), 16-24. (1984) Zbl0555.62038MR0746012
- B. S. Duran, A survey of nonparametric tests for scale, Comm. Statist. Theory Methods A5 (1976), 1287-1312. (1976) Zbl0362.62044MR0445707
- J. Hájek, Asymptotically most powerful rank-order tests, Ann. Math. Statist. 33 (1962), 1124-1147. (1962) MR0143304
- J. Hájek, Miscellaneous problems of rank test theory, In: Nonparametric Technics (M.L. Puri, ed.), Cambridge University Press 1970, pp. 3-17. (1970) MR0279947
- J. Hájek, Z. Šidák, Theory of Rank Tests, Academic Press, New York 1967. (1967) MR0229351
- 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. (1952) MR0044799
- J. Jurečková, Asymptotic linearity of a rank statistic in regression parameter, Ann. Math. Statist. 40 (1969), 1889-1900. (1969) MR0248931
- 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. (1979) MR0561264
- T. Kamae U. Krengel, G. L. O'Brien, Stochastic inequalities on partially ordered spaces, Ann. Probab. 5 (1977), 899-912. (1977) MR0494447
- E. L. Lehmann, Testing Statistical Hypotheses, Second edition. Wiley, New York 1986. (1986) Zbl0608.62020MR0852406
- L. E. Moses, Rank tests of dispersion, Ann. Math. Statist. 34 (1963), 973-983. (1963) Zbl0203.21104MR0154370
- 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. (1983) MR0851017
- 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. (1959) Zbl0104.12602MR0112201
- J. Pfanzagl, Contributions to a General Asymptotic Statistical Theory, (Lecture Notes in Statist. 13), Springer, New York 1982. (1982) Zbl0512.62001MR0675954
- H. Raghavachari, The two-sample scale problem when locations are unknown, Ann. Math. Statist. 36 (1965), 1236-1242. (1965) Zbl0147.18701MR0178538
- W. Schäfer, Nicht-parametrische Tests für Skalenmodelle im Zweistichprobenproblem, Ph.D. Dissertation, Freiburg i.Br. 1979. (1979)
- H. Witting, Mathematische Statistik I: Parametrische Verfahren bei festem Stichprobenumfang, Teubner, Stuttgart 1985. (1985) Zbl0581.62001MR0943833
- H. Witting, U. Müller-Funk, Mathematische Statistik II: Asymptotische Statistik: Parametrische Statistik und nichtparametrische Modelle, Teubner, Stuttgart 1995. (1995) MR1363716
- H. Witting, U. Müller-Funk, Mathematische Statistik III: Prozeßapproximationen, Differentiationsansätze und nichtparametrische Testprobleme, Teubner, Stuttgart, in preparation. MR1363716
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