Journal of the Korean Statistical Society

  • 제23권2호
  • /
  • Pages.303-323
  • /
  • 1994
  • /
  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

Distribution of Votaw's $\lambda_1$(mvc) Criterion

  • Nagar, D.K. (Department of Statistics, University of Rajasthan) ;
  • Gupta, A.K. (Department of Mathematics and Statistics, Bowling Green State University)
  • 발행 : 1994.12.01
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초록

In this paper, distribution of Votaw's $\lambda_1$(mvc) criterion has been obtained using inverse Mellin transform, residue theorem and properties of special functions.

키워드

참고문헌

  1. Handbook of Mathematical Functions Abramowitz,M.;Stegun,I.A.
  2. Sankhya v.A34 On the exact distribution of some p-variate test statistic with use of G-function Bagai,O.P.
  3. Annals of Mathematical Statistics v.40 no.3 On the exact distributions of Votaw's criteria for testing compound symmetry of a covariance matrix Consul,P.C.
  4. Advances in Multivariate Statistical Analysis Likelihood ratio test for multisample sphericity Gupta,A.K.;Nagar,D.K.;A.K.Gupta (ed.)
  5. Technical Report no.93-12 On testing structure of mean vector of compound symmetric Gaussian model. Department of Mathematics and Statistics, Bowling Green State University Gupta,A.K.;Nagar,D.K.
  6. The Special Functions and Their Approximations v.1 Luke,Y.L.
  7. Lecture Notes in Mathematics, Ser. no.348 Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences Mathai,A.M.;Saxena,R.K.
  8. Formulas and Theorems for the Special Functions of Mathematical Physics v.52 Magnus,W.;Oberhettinger,F.;Soni,R.P.
  9. International Journal of Mathematics and Mathematical Sciences v.8 no.3 Distribution of LRC for testing sphericity of a complex multivariate Gaussian model Nagar,D.K.;Jain,S.K.;Gupta,A.K.
  10. Annals of Mathematical Statistics v.19 Testing compound symmetry in a multivariate normal distribution Votaw (Jr.),D.F.
  11. Biometrics v.6 Compound symmetry tests in multivariate analysis in medical experiments Votaw (Jr.),D.F.;Kimball,A.W.;Rafferty,J.A.