| Abstract: |
| We study parameter estimation for a stochastic logistic model driven by small L\'{e}vy noises under discrete observations. Note that the stochastic logistic equation has a unique positive global solution under certain conditions on the underlying L\'{e}vy measure. We use the least squares method to obtain consistent estimators of the drift parameters. Then we establish the rate of convergence and asymptotic distributions of the least squares estimators when a small dispersion coefficient tends to zero and the sample size tends to infinity simultaneously. We present some simulation study to examine the efficacy of the proposed estimators. |
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