메뉴 건너뛰기




Volumn 34, Issue 3, 2005, Pages 679-685

Series representation of non null distribution of the square of sample multiple correlation coefficient by use of the mellin integral transform

Author keywords

Cauchy's residue theorem; Cumulative distribution function; Incomplete beta function; Probability density function

Indexed keywords

ALGORITHMS; MATHEMATICAL TRANSFORMATIONS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; THEOREM PROVING;

EID: 17044405180     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/STA-200052122     Document Type: Article
Times cited : (2)

References (19)
  • 3
    • 0030209325 scopus 로고    scopus 로고
    • On the computation of the distribution of the square of the sample multiple correlation coefficient
    • Ding, C. G. (1996). On the computation of the distribution of the square of the sample multiple correlation coefficient. Comput. Statist. Data Anal. 22:345-350.
    • (1996) Comput. Statist. Data Anal. , vol.22 , pp. 345-350
    • Ding, C.G.1
  • 4
    • 0007080346 scopus 로고
    • AS 260 - Evaluation of the distribution of the square of the sample multiple correlation coefficient
    • Ding, C. G., Bargmann, R. E. (1991). AS 260 - evaluation of the distribution of the square of the sample multiple correlation coefficient. Appl. Statist. 40(1):195-198.
    • (1991) Appl. Statist. , vol.40 , Issue.1 , pp. 195-198
    • Ding, C.G.1    Bargmann, R.E.2
  • 5
    • 0001727379 scopus 로고
    • The general sampling distribution of the multiple correlation co-efficient
    • Fisher, R. A. (1928). The general sampling distribution of the multiple correlation co-efficient. Proc. Roy. Soc. London Ser. A 121:654-673.
    • (1928) Proc. Roy. Soc. London Ser. A , vol.121 , pp. 654-673
    • Fisher, R.A.1
  • 6
    • 0039516178 scopus 로고
    • Limiting distributions of certain transformations of multiple correlation coefficient
    • Gajjar, A. V. (1967). Limiting distributions of certain transformations of multiple correlation coefficient. Metron 26:189-193.
    • (1967) Metron , vol.26 , pp. 189-193
    • Gajjar, A.V.1
  • 7
    • 84945600594 scopus 로고
    • The distributions of the first and second order moments, the partial correlation coefficients and the multiple correlation coefficient in samples from a normal multivariate population
    • Garding, L. (1941). The distributions of the first and second order moments, the partial correlation coefficients and the multiple correlation coefficient in samples from a normal multivariate population. Skandinavisk Aktuarietidskrift 24:185-202.
    • (1941) Skandinavisk Aktuarietidskrift , vol.24 , pp. 185-202
    • Garding, L.1
  • 8
    • 0000748097 scopus 로고
    • A relatively simple form of the distribution of the multiple correlation coefficient
    • Gurland, J. (1968). A relatively simple form of the distribution of the multiple correlation coefficient. J. Roy. Statist. Soc. Ser. B 30:276-283.
    • (1968) J. Roy. Statist. Soc. Ser. B , vol.30 , pp. 276-283
    • Gurland, J.1
  • 9
    • 0007147483 scopus 로고
    • On the distribution of the multiple correlation coefficient and the kinked chi-square random variable
    • Gurland, J., Asiribo, O. (1991). On the distribution of the multiple correlation coefficient and the kinked chi-square random variable. Statistica Sinica 1:493-502.
    • (1991) Statistica Sinica , vol.1 , pp. 493-502
    • Gurland, J.1    Asiribo, O.2
  • 10
    • 0007113204 scopus 로고
    • Further consideration of the distribution of the multiple correlation coefficient
    • Gurland, J., Milton, R. C. (1970). Further consideration of the distribution of the multiple correlation coefficient. J. Roy. Statist. Soc. Ser. B 32:381-394.
    • (1970) J. Roy. Statist. Soc. Ser. B , vol.32 , pp. 381-394
    • Gurland, J.1    Milton, R.C.2
  • 11
    • 17044417991 scopus 로고
    • On the sampling distribution of the multiple correlation coefficient
    • Hodgson, V. (1967). On the sampling distribution of the multiple correlation coefficient. Presented at the IMS Meetings in Washington, DC.
    • (1967) IMS Meetings in Washington, DC
    • Hodgson, V.1
  • 13
    • 17044372256 scopus 로고
    • A note on a large sample distribution of a transformed multiple correlation coefficient
    • Khatri, C. G. (1966). A note on a large sample distribution of a transformed multiple correlation coefficient. Ann. Instit. Statist. Math. 18:375-380.
    • (1966) Ann. Instit. Statist. Math. , vol.18 , pp. 375-380
    • Khatri, C.G.1
  • 14
    • 0343559093 scopus 로고
    • On the distribution of products of random variables
    • Lomnicki, Z. A. (1967). On the distribution of products of random variables. J. Roy. Statist. Soc. Ser. B 513-524.
    • (1967) J. Roy. Statist. Soc. Ser. B , pp. 513-524
    • Lomnicki, Z.A.1
  • 15
    • 17044372662 scopus 로고
    • The distribution of the multiple correlation coefficient
    • Moran, P. A. P. (1950). The distribution of the multiple correlation coefficient. Proc. Cambridge Philosophic. Soc. 46:521-522.
    • (1950) Proc. Cambridge Philosophic. Soc. , vol.46 , pp. 521-522
    • Moran, P.A.P.1
  • 16
    • 17044384052 scopus 로고
    • A likelihood-ratio based normal approximation for the non null distribution of the correlation coefficient
    • Moschopoulos, P. G., Mudholkar, G. S. (1983). A likelihood-ratio based normal approximation for the non null distribution of the correlation coefficient. Commun. Statist. Simul. Comput. 12:355-371.
    • (1983) Commun. Statist. Simul. Comput. , vol.12 , pp. 355-371
    • Moschopoulos, P.G.1    Mudholkar, G.S.2
  • 18
    • 17044426631 scopus 로고
    • On the sampling distribution of the multiple correlation coefficient
    • Wilks, S. S. (1932). On the sampling distribution of the multiple correlation coefficient. Ann. Math. Statist. 3:196-203.
    • (1932) Ann. Math. Statist. , vol.3 , pp. 196-203
    • Wilks, S.S.1
  • 19
    • 17044432130 scopus 로고
    • A simple derivation of the distribution of the multiple correlation coefficient
    • Williams, E. J. (1978). A simple derivation of the distribution of the multiple correlation coefficient. Commun. Statist. Theor. Meth. 7:1413-1420.
    • (1978) Commun. Statist. Theor. Meth. , vol.7 , pp. 1413-1420
    • Williams, E.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.