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Original Articles

Probability integrals of a bivariate gamma distribution

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Pages 205-213 | Published online: 20 Mar 2007

References

  • Abramowitz , M. and Stegun , I.A. Handbook of Mathematical Functions New York, Dover
  • Ai-Saadi , S.D. , Snmshaw , D.F. and young , D.H. 1979 . Tests for independence of exponential variables . J.Statist,Comput.Simul , 9 : 217 – 233 .
  • Ai-Saadi , S.D. and Young , D.H. 1980 . Estimators for the correlation coefficientte exponential distribution . J.Sransr.Comput.Simul , 11 : 13 – 20 .
  • Downton , F. 1970 . Bivariate exponential distributions in reliability theory. J.R.S.S , B 32 : 408 – 417 .
  • Hunter , J.J. 1974 . Renewal theory in two dimensions:Basic results . Adv. Appl Prob , 6 : 376 – 391 .
  • Kibble , W.F. 1941 . A two variable gamma type distribution . Sankhyd , 5 : 137 – 150 .
  • Lai , C.D. 1978 . An example of Wold's point processes with Markov-dependent intervals . J.Appl Prob , 15 : 748 – 758 .
  • Lai , C.D. 1981 . On conditional correlation coefficients of a Wold Markov process of gamma intervals . Austral.J.Statist , 23 : 232 – 237 .
  • Lampard , D.G. 1968 . A stochastic process whose successive intervals betweeeventsform a first order Markov chain-1 . J Appl Prob , 5 : 648 – 668 .
  • Lehmann , E.L. 1966 . Some concepts ofdependence . Ann.Math.Statist , 37 : 1137 – 1153 .
  • Lloyd , E.H. and Saleem , S.D. 1979 . A note on seasonal Markov chains withgamma or gamma-like distributions . J.Appl.Prob , 16 : 117 – 128 .
  • Moran , P.A.P. 1967 . Testing for correlation between non-negative variates . Biometrika , 54 : 385 – 401 .
  • Nagao , M. and Kadoya , M. 1971 . Two-variate exponential distribution and its numerical table for engineering application . Bulletin of the Disaster Prevention Research Institute , 20 : 183 – 215 .
  • Pearson , K. 1922 . Tables of the Incomplete T-Function , London : H.M.Stationery Office . (since 1934:Cambridge University Press)
  • Phatarfod , R.M. 1971 . Some approximate results in renewal and dam theories . J.Austral. Math. Soc , 12 : 425 – 431 .
  • Phatarfod , R.M. 19786 . Some aspects of stochastic reservoir theory . J. Hydrol , 30 : 199 – 217 .
  • SzegÖ , G. 1978 . Orthogonal Polynomials , AMS Colloq.Publications . Providence, R.I
  • Vere-Jones , D. 1967 . The infinite divisibility of a bivariate gamma distribution . Sankhya , A29 : 421 – 422 .

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