메뉴 건너뛰기




Volumn 136, Issue 8, 2006, Pages 2535-2546

Sum-functions of spacings of increasing order

Author keywords

mixing and symbol mixing sequence; divergence; High order spacings; Testing uniformity

Indexed keywords


EID: 33645897045     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2004.11.006     Document Type: Article
Times cited : (3)

References (31)
  • 1
    • 21044443403 scopus 로고
    • On the asymptotic normality of functions of uniform spacings
    • Beirlant J., Janssen P., and Veraverbeke N. On the asymptotic normality of functions of uniform spacings. Canad. J. Statist. 19 (1991) 93-101
    • (1991) Canad. J. Statist. , vol.19 , pp. 93-101
    • Beirlant, J.1    Janssen, P.2    Veraverbeke, N.3
  • 2
    • 38249019935 scopus 로고
    • Estimators with nondecreasing risk. application of a chi-squared identity
    • Casella G. Estimators with nondecreasing risk. application of a chi-squared identity. Statist. Probab. Lett. 10 (1990) 107-109
    • (1990) Statist. Probab. Lett. , vol.10 , pp. 107-109
    • Casella, G.1
  • 3
    • 38249036185 scopus 로고
    • 1-norm convergence for data-based histogram density estimates
    • 1-norm convergence for data-based histogram density estimates. J. Multivariate. Anal. 21 (1987) 179-188
    • (1987) J. Multivariate. Anal. , vol.21 , pp. 179-188
    • Chen, X.R.1    Zhao, L.C.2
  • 4
    • 34250141475 scopus 로고
    • Propriétés de convergence presque complète du prédicteur à noyau
    • Collomb G. Propriétés de convergence presque complète du prédicteur à noyau. Z. Wahrsch. Verw. Gebiete. 66 (1984) 441-460
    • (1984) Z. Wahrsch. Verw. Gebiete. , vol.66 , pp. 441-460
    • Collomb, G.1
  • 5
    • 0018668867 scopus 로고
    • An optimal statistic based on high order gaps
    • Cressie N. An optimal statistic based on high order gaps. Biometrika 66 (1979) 619-627
    • (1979) Biometrika , vol.66 , pp. 619-627
    • Cressie, N.1
  • 6
    • 0001856347 scopus 로고
    • Eine Informationstheoretische Ungleichung und ihre Anwendung auf den Beweiz der Ergodizität von Markoffschen Ketten
    • Csiszár I. Eine Informationstheoretische Ungleichung und ihre Anwendung auf den Beweiz der Ergodizität von Markoffschen Ketten. Magyar Tud. Akad. Mat. Kutató Int. Közl. 8 (1963) 85-108
    • (1963) Magyar Tud. Akad. Mat. Kutató Int. Közl. , vol.8 , pp. 85-108
    • Csiszár, I.1
  • 7
    • 0000489740 scopus 로고
    • Information-type measures of difference of probability distributions and indirect observations
    • Csiszár I. Information-type measures of difference of probability distributions and indirect observations. Studia Sci. Math. Hungar. 2 (1967) 299-318
    • (1967) Studia Sci. Math. Hungar. , vol.2 , pp. 299-318
    • Csiszár, I.1
  • 8
    • 33645952765 scopus 로고    scopus 로고
    • Csiszár, I., 1977. Information measures: a critical survey. Transactions of the Seventh Prague Conference on Inference Theory Statistics Decision Functions, Random Processes. D. Reidel, Boston, pp. 73-86.
  • 9
    • 0001155761 scopus 로고
    • On a class of problems related to the random division of an interval
    • Darling D.A. On a class of problems related to the random division of an interval. Ann. Math. Statist. 24 (1953) 239-253
    • (1953) Ann. Math. Statist. , vol.24 , pp. 239-253
    • Darling, D.A.1
  • 11
    • 0347433843 scopus 로고
    • Vitesse de convergence dans le théorème central limite pour des variables aléatoires mélangeantes à valeurs dans un espace de Hilbert
    • Doukhan P., Leon J., and Portal F. Vitesse de convergence dans le théorème central limite pour des variables aléatoires mélangeantes à valeurs dans un espace de Hilbert. C. R. Acad. Sci. Paris (Ser. I) 298 (1984) 305-308
    • (1984) C. R. Acad. Sci. Paris (Ser. I) , vol.298 , pp. 305-308
    • Doukhan, P.1    Leon, J.2    Portal, F.3
  • 12
    • 33645899749 scopus 로고    scopus 로고
    • Ekström, M., 1997. Maximum spacing methods and limit theorems for statistics based on spacings. Ph.D. Thesis, Umeå University, Sweden.
  • 14
    • 84971176494 scopus 로고
    • Limit theorems for sums of general functions of m-spacings
    • Hall P. Limit theorems for sums of general functions of m-spacings. Math. Proc. Cambridge Philos. Soc. 96 (1984) 517-532
    • (1984) Math. Proc. Cambridge Philos. Soc. , vol.96 , pp. 517-532
    • Hall, P.1
  • 15
    • 38249039038 scopus 로고
    • On powerful distributional tests based on sample spacings
    • Hall P. On powerful distributional tests based on sample spacings. J. Multivariate. Anal. 19 (1986) 201-224
    • (1986) J. Multivariate. Anal. , vol.19 , pp. 201-224
    • Hall, P.1
  • 17
    • 0038094998 scopus 로고
    • Asymptotic normalities of sum-functions of spacings
    • Holst L. Asymptotic normalities of sum-functions of spacings. Ann. Probab. 7 (1979) 1066-1072
    • (1979) Ann. Probab. , vol.7 , pp. 1066-1072
    • Holst, L.1
  • 18
    • 0006322268 scopus 로고
    • Asymptotic properties of functions of spacings
    • Khasimov Sh.A. Asymptotic properties of functions of spacings. Theory Probab. Appl. 34 (1989) 298-307
    • (1989) Theory Probab. Appl. , vol.34 , pp. 298-307
    • Khasimov, Sh.A.1
  • 19
    • 33645899053 scopus 로고    scopus 로고
    • Kuo, M., Rao, J.S., 1981. Limit theory and efficiencies for tests based on higher order spacings. Statistics: applications and new directions. Proceedings of the Golden Jubilee Conference of the Indian Statistical Institute. Statistical Publishing Society, Calcutta, pp. 333-352.
  • 20
    • 0038876584 scopus 로고
    • Un thèoréme sur la division d'un intervalle par des points pris au hasard
    • Le Cam L. Un thèoréme sur la division d'un intervalle par des points pris au hasard. Publ. Inst. Statist. Univ. Paris 7 (1958) 7-16
    • (1958) Publ. Inst. Statist. Univ. Paris , vol.7 , pp. 7-16
    • Le Cam, L.1
  • 23
    • 0010918704 scopus 로고
    • Asymptotic results on the Greenwood statistic and some of its generalizations
    • Rao J.S., and Kuo M. Asymptotic results on the Greenwood statistic and some of its generalizations. J. Roy. Statist. Soc. B 46 (1984) 228-237
    • (1984) J. Roy. Statist. Soc. B , vol.46 , pp. 228-237
    • Rao, J.S.1    Kuo, M.2
  • 25
    • 33645951751 scopus 로고
    • On integration, substitution and the probability integral transform
    • Savits T.H. On integration, substitution and the probability integral transform. Statist. Probab. Lett. 21 (1994) 173-179
    • (1994) Statist. Probab. Lett. , vol.21 , pp. 173-179
    • Savits, T.H.1
  • 26
    • 0030534046 scopus 로고    scopus 로고
    • On a distribution-free test of fit for continuous distribution functions
    • Shao Y., and Hahn M.G. On a distribution-free test of fit for continuous distribution functions. Scand. J. Statist. 23 (1996) 63-73
    • (1996) Scand. J. Statist. , vol.23 , pp. 63-73
    • Shao, Y.1    Hahn, M.G.2
  • 27
    • 0002545991 scopus 로고
    • Estimating functionals related to a density by a class of statistics based on spacings
    • van Es B. Estimating functionals related to a density by a class of statistics based on spacings. Scand. J. Statist. 19 (1992) 61-72
    • (1992) Scand. J. Statist. , vol.19 , pp. 61-72
    • van Es, B.1
  • 28
    • 0002260546 scopus 로고
    • A test for normality based on sample entropy
    • Vasicek O. A test for normality based on sample entropy. J. Roy. Statist. Soc. B 38 (1976) 54-59
    • (1976) J. Roy. Statist. Soc. B , vol.38 , pp. 54-59
    • Vasicek, O.1
  • 29
    • 0346803198 scopus 로고
    • Consistency of an alternative nearest neighbour probability density function estimator
    • Yu J. Consistency of an alternative nearest neighbour probability density function estimator. Acta Mathe. Sci. 6 (1986) 467-477
    • (1986) Acta Mathe. Sci. , vol.6 , pp. 467-477
    • Yu, J.1
  • 30
    • 33645920051 scopus 로고    scopus 로고
    • Yu, J., 1994. Consistency of a nearest neighbor density estimator for dependent variables. Research Report No.1, Department of Mathematical Statistics, Umeå University.
  • 31
    • 33645914530 scopus 로고    scopus 로고
    • Asymptotic properties of high order spacings under dependence assumptions
    • Yu J., and Ekström M. Asymptotic properties of high order spacings under dependence assumptions. Math. Methods Statist. 9 (2000) 437-448
    • (2000) Math. Methods Statist. , vol.9 , pp. 437-448
    • Yu, J.1    Ekström, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.