Journal of the Korean Statistical Society

  • 제22권1호
  • /
  • Pages.133-138
  • /
  • 1993
  • /
  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

A Note on Estimation Under Discrete Time Observations in the Simple Stochastic Epidemic Model

  • Oh, Chang-Hyuck (Department of Statistics, Yeung-Nam University, Kyungsan, Kyungbuk, 712-749)
  • 발행 : 1993.06.01
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초록

We consider two estimators of the infection rate in the simple stochastic epidemic model. It is shown that the maximum likelihood estimator of teh infection rate under the discrete time observation does not have the moment of any positive order. Some properties of the Choi-Severo estimator, an approximation to the maximum likelihood estimator, are also investigated.

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참고문헌

  1. The Mathematical Theory of Infectious Diseases and its Applications(second edition) Bailey,N.T.J.
  2. Journal of Applied Probability v.16 A new look at the simple epidemic process Billards,L.;Lacayo,H.;Langberg,N.A.
  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.56 The simple stochastic epidemic for small populations with one or more initial infectives Hill,R.T.;Severo,N.C.
  5. Biometrika v.59 On estimating the infection rate of the simple stochastic epidemic Kryscio,R.J.
  6. Advances in Applied Probability v.7 Computational and estimation procedures in multidimensional right-shift processes and some applications Kryscio,R.J.;Severo,N.C.
  7. Journal of Applied Probability v.4 Two theorems on solutions of difference equations and applications to epidemic theory Severo,N.C.
  8. Theoretical Population Biology v.3 On the probability of some stochastic epidemic models Yang,G.