SCOPUS 정보 검색 플랫폼

Volumn 31, Issue 4, 1999, Pages 985-994

The distribution of volume reductions induced by isotropic random projections

a DANISH INSTITUTE OF AGRICULTURAL SCIENCES (Denmark)

Author keywords

Beta distribution; Cauchy s formula; Crofton s formula; Isotropic random projections; Multivariate normal theory; Stochastic geometry; Wilks lambda distribution

Indexed keywords

COMPUTATIONAL GEOMETRY; INTEGRAL EQUATIONS; MATRIX ALGEBRA; PROBABILITY DISTRIBUTIONS; SET THEORY; THEOREM PROVING;

BETA DISTRIBUTION; COUCHY FORMULA; CROFTON FORMULA; ISOTROPIC RANDOM PROJECTION; LEBESGUE MEASURE; MULTIVARIATE NORMAL THEORY; STOCHASTIC GEOMETRY; VOLUME REDUCTION; WILK LAMBDA DISTRIBUTION;

RANDOM PROCESSES;

EID: 0033325131 PISSN: 00018678 EISSN: None Source Type: Journal
DOI: 10.1239/aap/1029955254 Document Type: Article

Times cited : (12)

References (12)

1
- 0039127194
- Random projections of regular simplices
- Affentranger, F. and SCHNEIDER, R. (1992). Random projections of regular simplices. Discrete Comput. Geom. 7, 219-226.
- (1992) Discrete Comput. Geom. , vol.7 , pp. 219-226
- Affentranger, F.¹ Schneider, R.²

2
- 84988058861
- Random r-content of an r-simplex from beta-type-2 random points
- Chu, D. P. T. (1993). Random r-content of an r-simplex from beta-type-2 random points. Canad. J. Statist. 21, 285-293.
- (1993) Canad. J. Statist. , vol.21 , pp. 285-293
- Chu, D.P.T.¹

3
- 0343910616
- Rotational versions of the Crofton formula
- JENSEN, E. B. V. (1995). Rotational versions of the Crofton formula. Adv. Appl. Prob. 27, 87-96.
- (1995) Adv. Appl. Prob. , vol.27 , pp. 87-96
- Jensen, E.B.V.¹

4
- 0004129841
- World Scientific, Singapore
- JENSEN, E. B. V. (1998). Local Stereology. World Scientific, Singapore.
- (1998) Local Stereology
- Jensen, E.B.V.¹

5
- 0038631085
- Unbiased stereological estimation of d-dimensional volume in Rn from an isotropic random slice through a fixed point
- n from an isotropic random slice through a fixed point. Adv. Appl. Prob. 26, 1-12.
- (1994) Adv. Appl. Prob. , vol.26 , pp. 1-12
- Jensen, E.B.V.¹ Kiêu, K.²

6
- 0003607151
- Academic Press, London
- Mardia, K. V., Kent, J. T. and Bibby, J. M. (1979). Multivariate Analysis. Academic Press, London.
- (1979) Multivariate Analysis
- Mardia, K.V.¹ Kent, J.T.² Bibby, J.M.³

7
- 0003922365
- John Wiley, New York
- Matheron, G. (1975). Random Sets and Integral Geometry. John Wiley, New York.
- (1975) Random Sets and Integral Geometry
- Matheron, G.¹

8
- 0001178214
- Isotropic random simplices
- Miles, R. E. (1971). Isotropic random simplices. Adv.Appl. Prob. 3, 353-382.
- (1971) Adv.Appl. Prob. , vol.3 , pp. 353-382
- Miles, R.E.¹

9
- 0342604899
- The volume of isotropic random projections of simplices
- University of Aarhus
- NIELSEN, J. (1996). The volume of isotropic random projections of simplices. Res. Rep. 353, University of Aarhus.
- (1996) Res. Rep. , pp. 353
- Nielsen, J.¹

10
- 0343039000
- The volume of an isotropic random parallelotope
- Ruben, H. (1979). The volume of an isotropic random parallelotope. J. Appl. Prob. 16, 84-94.
- (1979) J. Appl. Prob. , vol.16 , pp. 84-94
- Ruben, H.¹

11
- 0003499866
- Addison-Wesley, Reading, MA
- Santaló, L. A. (1976). Integral Geometry and Geometric Probability. Addison-Wesley, Reading, MA.
- (1976) Integral Geometry and Geometric Probability.
- Santaló, L.A.¹

12
- 0004197934
- Teubner, Stuttgart
- SCHNEIDER, R. and Weil, W. (1992). Integralgeometrie. Teubner, Stuttgart.
- (1992) Integralgeometrie
- Schneider, R.¹ Weil, W.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.