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Volumn 38, Issue 1, 2006, Pages 76-94

Central limit theorems for functionals of stationary germ-grain models

Author keywords

mixing; Asymptotic normality; Boolean model; Euler number; m dependent random field; Random closed set; Specific intrinsic volume; Stationary random field; Valuation

Indexed keywords

BOOLEAN FUNCTIONS; MATHEMATICAL MODELS; POISSON DISTRIBUTION; SET THEORY; VECTORS;

EID: 33646100293     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1143936141     Document Type: Article
Times cited : (6)

References (15)
  • 1
    • 10944260050 scopus 로고    scopus 로고
    • Asymptotic properties of estimators for the volume fraction of jointly stationary random sets
    • Böhm, S., Heinrich, L. and Schmidt, V. (2004). Asymptotic properties of estimators for the volume fraction of jointly stationary random sets. Statist. Neerlandica 58, 388-406.
    • (2004) Statist. Neerlandica , vol.58 , pp. 388-406
    • Böhm, S.1    Heinrich, L.2    Schmidt, V.3
  • 4
    • 84985425941 scopus 로고
    • Asymptotic behaviour of an empirical nearest-neighbour distance function for stationary Poisson cluster processes
    • Heinrich, L. (1988). Asymptotic behaviour of an empirical nearest-neighbour distance function for stationary Poisson cluster processes. Math. Nachr. 136, 131-148.
    • (1988) Math. Nachr. , vol.136 , pp. 131-148
    • Heinrich, L.1
  • 5
    • 0343887317 scopus 로고
    • Asymptotic properties of minimum contrast estimators for parameters of Boolean models
    • Heinrich, L. (1993). Asymptotic properties of minimum contrast estimators for parameters of Boolean models. Metrika 31, 349-360.
    • (1993) Metrika , vol.31 , pp. 349-360
    • Heinrich, L.1
  • 6
    • 0007420038 scopus 로고
    • Normal approximations for some mean-value estimates of absolutely regular tessellations
    • Heinrich, L. (1994). Normal approximations for some mean-value estimates of absolutely regular tessellations. Math. Meth. Statist. 3, 1-24.
    • (1994) Math. Meth. Statist. , vol.3 , pp. 1-24
    • Heinrich, L.1
  • 7
    • 0033141155 scopus 로고    scopus 로고
    • Central limit theorem for a class of random measures associated with germ-grain models
    • Heinrich, L. and Molchanov, I. (1999). Central limit theorem for a class of random measures associated with germ-grain models. Adv. Appl. Prob. 31, 283-314.
    • (1999) Adv. Appl. Prob. , vol.31 , pp. 283-314
    • Heinrich, L.1    Molchanov, I.2
  • 9
    • 0037708521 scopus 로고
    • Asymptotic properties of stereological estimators of volume fraction for stationary random sets
    • Mase, S. (1982). Asymptotic properties of stereological estimators of volume fraction for stationary random sets. J. Appl. Prob. 19, 111-126.
    • (1982) J. Appl. Prob. , vol.19 , pp. 111-126
    • Mase, S.1
  • 11
    • 17744399211 scopus 로고    scopus 로고
    • Joint estimators for the specific intrinsic volumes of stationary random sets
    • Schmidt, V. and Spodarev, E. (2005). Joint estimators for the specific intrinsic volumes of stationary random sets. Stoch. Process. Appl. 115, 959-981.
    • (2005) Stoch. Process. Appl. , vol.115 , pp. 959-981
    • Schmidt, V.1    Spodarev, E.2
  • 14
    • 33646076020 scopus 로고    scopus 로고
    • On the local connectivity number of stationary random closed sets
    • C. Ronse et al., Kluwer, Dordrecht
    • Spodarev, E. and Schmidt, V. (2005). On the local connectivity number of stationary random closed sets. In Proc. 7th Internat. Symp. Math. Morphology, eds C. Ronse et al., Kluwer, Dordrecht, pp. 343-356.
    • (2005) Proc. 7th Internat. Symp. Math. Morphology , pp. 343-356
    • Spodarev, E.1    Schmidt, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.