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71.
Simple and Explicit Estimating Functions for a Discretely Observed Diffusion Process 总被引:3,自引:0,他引:3
Mathieu Kessler 《Scandinavian Journal of Statistics》2000,27(1):65-82
We consider a one-dimensional diffusion process X , with ergodic property, with drift b ( x , θ) and diffusion coefficient a ( x , θ) depending on an unknown parameter θ that may be multidimensional. We are interested in the estimation of θ and dispose, for that purpose, of a discretized trajectory, observed at n equidistant times ti = iΔ , i = 0, ..., n . We study a particular class of estimating functions of the form ∑ f (θ, X t i −1 ) which, under the assumption that the integral of f with respect to the invariant measure is null, provide us with a consistent and asymptotically normal estimator. We determine the choice of f that yields the estimator with minimum asymptotic variance within the class and indicate how to construct explicit estimating functions based on the generator of the diffusion. Finally the theoretical study is completed with simulations. 相似文献
72.
Estimation of an Ergodic Diffusion from Discrete Observations 总被引:6,自引:0,他引:6
Mathieu Kessler 《Scandinavian Journal of Statistics》1997,24(2):211-229
We consider a one-dimensional diffusion process X , with ergodic property, with drift b ( x , θ) and diffusion coefficient a ( x , σ) depending on unknown parameters θ and σ. We are interested in the joint estimation of (θ, σ). For that purpose, we dispose of a discretized trajectory, observed at n equidistant times tn i = ihn , 1 ≤ i ≤ n . We assume that hn ← 0 and nhn ←∞. Under the condition nhn p ← 0 for an arbitrary integer p , we exhibit a contrast dependent on p which provides us with an asymptotically normal and efficient estimator of (θ, σ). 相似文献
73.
74.
We investigate whether public and private sector employees bear a different wage penalty for having children. According to our estimates, the total motherhood wage penalty is much larger in the private than in the public sector. Nevertheless, in both sectors, we find no unexplained penalty once we control for potential determinants of the family pay gap, namely, a reduced labour supply of mothers, child‐related career interruptions, less access to management positions, and adjustments in working conditions. Finally, only child‐related career interruptions play a different role in explaining the motherhood wage penalty in each sector. 相似文献