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Volumn 50, Issue 2, 1998, Pages 361-377

Prediction of the maximum size in Wicksell's corpuscle problem

Author keywords

Extreme value theory; Generalized gamma distribution; Gumbel distribution; Metal fatigue; Stereology

Indexed keywords


EID: 0000699241     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1003451417655     Document Type: Article
Times cited : (22)

References (13)
  • 1
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    • (1982) Adv. in Appl. Probab. , vol.19 , pp. 1811-1825
    • Cohen, J.P.1
  • 5
    • 0009658666 scopus 로고
    • A survey and comparison of methods for estimating extreme right tail-area quantiles
    • Hughey, R. L. (1991). A survey and comparison of methods for estimating extreme right tail-area quantiles, Comm. Statist. Theory Methods, 20, 1463-1496.
    • (1991) Comm. Statist. Theory Methods , vol.20 , pp. 1463-1496
    • Hughey, R.L.1
  • 7
    • 0001493163 scopus 로고
    • Inclusion rating by statistics of extreme values and its application to fatigue strength prediction and quality control of materials
    • Murakami, Y. (1994). Inclusion rating by statistics of extreme values and its application to fatigue strength prediction and quality control of materials, J. Res. Nat. Inst. Standards Tech., 99, 345-351.
    • (1994) J. Res. Nat. Inst. Standards Tech. , vol.99 , pp. 345-351
    • Murakami, Y.1
  • 8
    • 0001075431 scopus 로고
    • Statistical inference using extreme order statistics
    • Pickands, J. (1975). Statistical inference using extreme order statistics, Ann. Statist., 3, 119-131.
    • (1975) Ann. Statist. , vol.3 , pp. 119-131
    • Pickands, J.1
  • 9
    • 0022923232 scopus 로고
    • Extreme value theory based on the r largest annual events
    • Smith, R. L. (1986). Extreme value theory based on the r largest annual events, Journal of Hydrology, 86, 27-43.
    • (1986) Journal of Hydrology , vol.86 , pp. 27-43
    • Smith, R.L.1
  • 10
    • 0001258027 scopus 로고
    • Estimating tails of probability distributions
    • Smith, R. L. (1987). Estimating tails of probability distributions, Ann. Statist., 15, 1174-1207.
    • (1987) Ann. Statist. , vol.15 , pp. 1174-1207
    • Smith, R.L.1
  • 11
    • 0030372037 scopus 로고    scopus 로고
    • The maximum size of the planar sections of random spheres and its application to metallurgy
    • Takahashi, R. and Sibuya, M. (1996). The maximum size of the planar sections of random spheres and its application to metallurgy, Ann. Inst. Statist. Math., 48, 127-144.
    • (1996) Ann. Inst. Statist. Math. , vol.48 , pp. 127-144
    • Takahashi, R.1    Sibuya, M.2
  • 12
    • 84936167519 scopus 로고
    • Estimation of parameters and large quantiles based on the k largest observations
    • Weissman, I. (1978). Estimation of parameters and large quantiles based on the k largest observations, J. Amer. Statist. Assoc., 73, 812-815.
    • (1978) J. Amer. Statist. Assoc. , vol.73 , pp. 812-815
    • Weissman, I.1
  • 13
    • 0002843038 scopus 로고
    • The corpuscle problem. A mathematical study of a biometric problem
    • Wicksell, S. D. (1925). The corpuscle problem. A mathematical study of a biometric problem, Biometrika, 17, 84-99.
    • (1925) Biometrika , vol.17 , pp. 84-99
    • Wicksell, S.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.