Communications for Statistical Applications and Methods

  • 제3권1호
  • /
  • Pages.235-242
  • /
  • 1996
  • /
  • 2287-7843(pISSN)
  • /
  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

Simultaneous Estimation of the Birth and Death Rate of the Linear Growth Birth and Death Process Based on Discrete Time Observation

  • ChangHyuck Oh (Professor, Department of Statistics, YeungNam University, KyungSan, 712-749, Korea)
  • 발행 : 1996.04.01
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초록

When the linear growth birth and death process observed at a set of equidistant time points, McNeil and Weiss (1997) present a method for simultaneously estimating the Malthusian parameter and the sum of the two parameters under wery restricted assumptions using a diffusion approximation. This article suggests a method, which does not require the restrictions given by Weiss, for estimating simultaneously the Malthusian parameter and the sum of the two parameters.

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참고문헌

  1. Advances in Applied Probability v.15 Design problem for the pure birth process Becker, G.;Kersting, G.
  2. An Introduction to Stochastic Processes and Their Applications Chiang, C. L.
  3. Biometrika v.75 An approximation for the maximum likelihood estimator of the infection rate in the simple stochastic epidemic Choi, Y. J.;Severo, N. C.
  4. Biometrika v.43 The behavior of an estimator for a simple birth and death process Darwin, J. H.
  5. Biometrika v.61 Estimation in the birth process Keiding, N.
  6. Biometrika v.64 A large population approach to estimation of parameters in Markov population models McNeil, D.&Weiss, G. H.
  7. Biometrika v.78 Approximation to the maximum likelihood estimate in some pure birth process Oh, C. Severo;N. C. Slivka, j.