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Volumn 32, Issue 3, 2000, Pages 628-647

Systematic sampling on the circle and on the sphere

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; HARMONIC ANALYSIS; STATISTICAL METHODS;

EID: 0034268738     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0001867800010168     Document Type: Article
Times cited : (16)

References (47)
  • 3
    • 84985234195 scopus 로고
    • Estimation of surface area from vertical sections
    • BADDELEY, A. J., GUNDERSEN, H. J. G. AND CRUZ-ORIVE, L. M. (1986). Estimation of surface area from vertical sections. J. Microsc. 142, 259-276.
    • (1986) J. Microsc. , vol.142 , pp. 259-276
    • Baddeley, A.J.1    Gundersen, H.J.G.2    Cruz-Orive, L.M.3
  • 4
    • 70350341440 scopus 로고
    • Systematic sampling
    • Sampling, eds P. R. Krishnaiah and C. R. Rao. North-Holland, Amsterdam
    • BELLHOUSE, D. R. (1988). Systematic sampling. In Sampling, eds P. R. Krishnaiah and C. R. Rao. Handbook of Statistics, Vol. 6. North-Holland, Amsterdam, pp. 125-145.
    • (1988) Handbook of Statistics , vol.6 , pp. 125-145
    • Bellhouse, D.R.1
  • 8
    • 0001782141 scopus 로고
    • Stereology: Recent solutions to old problems and a glimpse into the future
    • CRUZ-ORIVE, L. M. (1987). Stereology: recent solutions to old problems and a glimpse into the future. Proc. ICS VII Caen 1987. Acta Stereologica 6/III, 3-18.
    • (1987) Proc. ICS VII Caen 1987. Acta Stereologica , vol.6 , Issue.3 , pp. 3-18
    • Cruz-Orive, L.M.1
  • 9
    • 0023111176 scopus 로고
    • Particle number can be estimated using a disector of unknown thickness: The selector
    • CRUZ-ORIVE, L. M. (1987). Particle number can be estimated using a disector of unknown thickness: the selector. J. Microsc. 145, 121-142.
    • (1987) J. Microsc. , vol.145 , pp. 121-142
    • Cruz-Orive, L.M.1
  • 10
    • 0024348162 scopus 로고
    • On the precision of systematic sampling: A review of Matheron's transitive methods
    • CRUZ-ORIVE, L. M. (1989). On the precision of systematic sampling: a review of Matheron's transitive methods. J. Microsc. 153, 315-333.
    • (1989) J. Microsc. , vol.153 , pp. 315-333
    • Cruz-Orive, L.M.1
  • 11
    • 0002254620 scopus 로고
    • Precision of systematic sampling on a step function
    • eds A. Hübler, W. Nagel, B. D. Ripley and G. Werner. Akademie-Verlag, Berlin
    • CRUZ-ORIVE, L. M. (1989). Precision of systematic sampling on a step function. In Geobild '89, eds A. Hübler, W. Nagel, B. D. Ripley and G. Werner. Akademie-Verlag, Berlin, pp. 185-193.
    • (1989) Geobild '89 , pp. 185-193
    • Cruz-Orive, L.M.1
  • 13
    • 0030994189 scopus 로고    scopus 로고
    • Stereology of single objects
    • CRUZ-ORIVE, L. M. (1997). Stereology of single objects. J. Microsc. 186, 93-107.
    • (1997) J. Microsc. , vol.186 , pp. 93-107
    • Cruz-Orive, L.M.1
  • 14
    • 0032968246 scopus 로고    scopus 로고
    • Precision of Cavalieri sections and slices with local errors
    • CRUZ-ORIVE, L. M. (1999). Precision of Cavalieri sections and slices with local errors. J. Microsc. 193, 182-198.
    • (1999) J. Microsc. , vol.193 , pp. 182-198
    • Cruz-Orive, L.M.1
  • 15
    • 0025785275 scopus 로고
    • Estimating the length of a bounded curve in three dimensions using total vertical projections
    • CRUZ-ORIVE, L. M. AND HOWARD, C. V. (1991). Estimating the length of a bounded curve in three dimensions using total vertical projections. J. Microsc. 163, 101-113.
    • (1991) J. Microsc. , vol.163 , pp. 101-113
    • Cruz-Orive, L.M.1    Howard, C.V.2
  • 16
    • 0027238727 scopus 로고
    • Unbiased volume estimation with coaxial sections: An application to the human bladder
    • CRUZ-ORIVE, L. M. AND ROBERTS, N. (1993). Unbiased volume estimation with coaxial sections: an application to the human bladder. J. Microsc. 170, 25-33.
    • (1993) J. Microsc. , vol.170 , pp. 25-33
    • Cruz-Orive, L.M.1    Roberts, N.2
  • 17
    • 0000934368 scopus 로고    scopus 로고
    • Explanation of apparent paradoxes in Cavalieri sampling
    • GARCÍA-FIÑANA, M. AND CRUZ-ORIVE, L. M. (1998). Explanation of apparent paradoxes in Cavalieri sampling. Acta Stereologica 17, 293-302.
    • (1998) Acta Stereologica , vol.17 , pp. 293-302
    • García-Fiñana, M.1    Cruz-Orive, L.M.2
  • 18
    • 0343907530 scopus 로고
    • Divisors of a circle. Solution to problem 660
    • L. J. Upton.
    • GOLDBERG, M. (1968). Divisors of a circle. Solution to problem 660, proposed by L. J. Upton. Math. Magazine 41, 46.
    • (1968) Math. Magazine , vol.41 , pp. 46
    • Goldberg, M.1
  • 20
    • 0032293094 scopus 로고    scopus 로고
    • Variance prediction under systematic sampling with geometric probes
    • GUAL ARNAU, X. AND CRUZ-ORIVE, L. M. (1998). Variance prediction under systematic sampling with geometric probes. Adv. Appl. Prob. 30, 889-903.
    • (1998) Adv. Appl. Prob. , vol.30 , pp. 889-903
    • Gual Arnau, X.1    Cruz-Orive, L.M.2
  • 21
    • 0023740982 scopus 로고
    • The nucleator
    • GUNDERSEN, H. J. G. (1988) The nucleator. J. Microsc. 151, 3-21.
    • (1988) J. Microsc. , vol.151 , pp. 3-21
    • Gundersen, H.J.G.1
  • 22
    • 84985280160 scopus 로고
    • The efficiency of systematic sampling in stereology and its prediction
    • GUNDERSEN, H. J. G. AND JENSEN, E. B. (1987). The efficiency of systematic sampling in stereology and its prediction. J. Microsc. 147, 229-263.
    • (1987) J. Microsc. , vol.147 , pp. 229-263
    • Gundersen, H.J.G.1    Jensen, E.B.2
  • 23
    • 0033045425 scopus 로고    scopus 로고
    • The efficiency of systematic sampling in stereology - Reconsidered
    • GUNDERSEN, H. J. G., JENSEN, E. B. V., KIÊU, K. AND NIELSEN, J. (1999). The efficiency of systematic sampling in stereology - reconsidered. J. Microsc. 193, 199-211.
    • (1999) J. Microsc. , vol.193 , pp. 199-211
    • Gundersen, H.J.G.1    Jensen, E.B.V.2    Kiêu, K.3    Nielsen, J.4
  • 27
    • 0024311948 scopus 로고
    • Fundamental stereological formulae based on isotropically orientated probes through fixed points with applications to particle analysis
    • JENSEN, E. B. AND GUNDERSEN, H. J. G. (1989). Fundamental stereological formulae based on isotropically orientated probes through fixed points with applications to particle analysis. J. Microsc. 153, 249-267.
    • (1989) J. Microsc. , vol.153 , pp. 249-267
    • Jensen, E.B.1    Gundersen, H.J.G.2
  • 30
    • 0024327696 scopus 로고
    • Exact formulae for the precision of systematic sampling
    • KELLERER, A. M. (1989). Exact formulae for the precision of systematic sampling. J. Microsc. 153, 285-300.
    • (1989) J. Microsc. , vol.153 , pp. 285-300
    • Kellerer, A.M.1
  • 31
    • 0343907528 scopus 로고
    • On the number of lattice points inside a random oval
    • KENDALL, D. G. (1948). On the number of lattice points inside a random oval. Quart. J. Math. 4, 178-189.
    • (1948) Quart. J. Math. , vol.4 , pp. 178-189
    • Kendall, D.G.1
  • 33
    • 0004134760 scopus 로고    scopus 로고
    • Memoirs 13/1997, Department of Theoretical Statistics, University of Aarhus
    • KIÊU, K. (1997). Three Lectures on Systematic Geometric Sampling. Memoirs 13/1997, Department of Theoretical Statistics, University of Aarhus.
    • (1997) Three Lectures on Systematic Geometric Sampling
    • Kiêu, K.1
  • 34
    • 0346243602 scopus 로고    scopus 로고
    • Precision of systematic sampling and transitive methods
    • KIÊU, K., SOUCHET, S. AND ISTAS, J. (1999). Precision of systematic sampling and transitive methods. J. Statist. Plan. Inf. 77, 263-279.
    • (1999) J. Statist. Plan. Inf. , vol.77 , pp. 263-279
    • Kiêu, K.1    Souchet, S.2    Istas, J.3
  • 37
    • 0024405680 scopus 로고
    • Precision of area estimation: A numerical study
    • MATÉRN, B. (1989). Precision of area estimation: a numerical study. J. Microsc. 153, 269-284.
    • (1989) J. Microsc. , vol.153 , pp. 269-284
    • Matérn, B.1
  • 40
    • 0003673006 scopus 로고
    • Les Cahiers du Centre de Morphologie Mathématique de Fontainebleau, No. 5. École Nationale Supérieure des Mines de Paris, Fontainebleau
    • MATHERON, G. (1971). The Theory of Regionalized Variables and Its Applications. Les Cahiers du Centre de Morphologie Mathématique de Fontainebleau, No. 5. École Nationale Supérieure des Mines de Paris, Fontainebleau.
    • (1971) The Theory of Regionalized Variables and Its Applications
  • 41
    • 0000149705 scopus 로고
    • Numerical integration by systematic sampling
    • MORAN, P. A. P. (1950). Numerical integration by systematic sampling. Proc. Camb. Phil. Soc. 46, 111-115.
    • (1950) Proc. Camb. Phil. Soc. , vol.46 , pp. 111-115
    • Moran, P.A.P.1
  • 42
    • 0141930282 scopus 로고
    • Measuring the length of a curve
    • MORAN, P. A. P. (1966). Measuring the length of a curve. Biometrika 53, 359-364.
    • (1966) Biometrika , vol.53 , pp. 359-364
    • Moran, P.A.P.1
  • 45
    • 0026331875 scopus 로고
    • The application of total vertical projections for the unbiased estimation of the length of blood vessels and other structures by magnetic resonance imaging
    • ROBERTS, N., HOWARD, C. V., CRUZ-ORIVE, L. M. AND EDWARDS, R. H. T. (1991). The application of total vertical projections for the unbiased estimation of the length of blood vessels and other structures by magnetic resonance imaging. Magn. Res. Imaging 9, 917-925.
    • (1991) Magn. Res. Imaging , vol.9 , pp. 917-925
    • Roberts, N.1    Howard, C.V.2    Cruz-Orive, L.M.3    Edwards, R.H.T.4
  • 47
    • 0013592286 scopus 로고
    • Rapport de stage, D.E.A. de statistiques et modèles aléatoires appliqués à la finance, Université Paris-VII. Laboratoire de Biométrie, INRA-Versailles
    • SOUCHET, S. (1995). Précision de l'estimateur de Cavalieri. Rapport de stage, D.E.A. de statistiques et modèles aléatoires appliqués à la finance, Université Paris-VII. Laboratoire de Biométrie, INRA-Versailles.
    • (1995) Précision de l'Estimateur de Cavalieri
    • Souchet, S.1


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