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maximum likelihood estimation
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     is maximum.
     的影响极大。
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     试论最高额抵押
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     极大可能性估计
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     H_n~′中的多项式极性和系数估值
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     ON THE ESTIMATION OF MAXIMUM LIKELIHOOD SPECTRA
     关于最大似然谱估计
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The non-linear estimation of time-varying parameters of singals in the presence of noise is discussed. A concept of instantaneous maximum likelihood estimation is presented and is shown to be asymptotically sufficient. A new approach of optimum estimation has been found by which the diffcult problem of non-linear estimation of time-varying parameters of signals is simplified as first finding the instantaneous maximum likelihood estimation and then its optimum processing.The apparatus...

The non-linear estimation of time-varying parameters of singals in the presence of noise is discussed. A concept of instantaneous maximum likelihood estimation is presented and is shown to be asymptotically sufficient. A new approach of optimum estimation has been found by which the diffcult problem of non-linear estimation of time-varying parameters of signals is simplified as first finding the instantaneous maximum likelihood estimation and then its optimum processing.The apparatus used to realize the instantaneous maximum likelihood estimation is defined as optimum demodulator and its general configuration is given. The application of the above theory is described with the phase-modulated signal used as an example. Finally, the results obtained in this paper are compared with those of D. C. Youla and D. L. Snyder.

本文研究了在噪声中信号时变参数的非线性估计,提出了瞬时最大似然估计的概念,证明了这个瞬时最大似然估计是渐近充份的,给出了最佳估计的新途径;其实质是把信号时变参数非线性估计这样一个难题,分解为求出瞬时最大似然估计和对瞬时最大似然估计的最佳处理。文中定义实现瞬时最大似然估计的装置为最佳差调器,给出了它的一般构造。 附录比较了本文和D.C.Youla及D.L.Snyder等文的结果。

In seislogging, seismic wavelet is estimated by the maximum likelihood estimation technique of signal detection theory. The maximum likelihood criterion is equivalent to the minimum root-mean-square error criterion when the supposed noise is Gaussian white noise of average value of zero. The solution of Toeplitz coupled equations, therefore, is the maximum likelihood estimating value of the seismic wavelet. Other coupled equations can be derived from when the supposed noise is something...

In seislogging, seismic wavelet is estimated by the maximum likelihood estimation technique of signal detection theory. The maximum likelihood criterion is equivalent to the minimum root-mean-square error criterion when the supposed noise is Gaussian white noise of average value of zero. The solution of Toeplitz coupled equations, therefore, is the maximum likelihood estimating value of the seismic wavelet. Other coupled equations can be derived from when the supposed noise is something else. In

在拟速度测井中,地震子波是根据信号检测理论的最大似然估计方法来估算的。当假设干扰是均值为零的高斯白噪音时,最大似然准则等效于最小均方误差准则,求取地震子波的最大似然估计值就是求解一个托布里兹方程组。在假设干扰为其它情况时,可引出另外的方程组。本文仅讨论了最简单的均值为零的高斯白噪干扰情况。子波处理是将地震记录中既非零相又非最小相位的子波处理为零相子波,进而处理为最小相位子波。这样可提高记录的讯噪比,使拟速度测井结果更为精确。其中间结果(零相子波记录)在地震解释中极为有用。

Three questions are discussed in this paper, 1. The application of maximum likelihood estimation to the Weibull distribution and its flow charts are discussed, 2. By means of Monte-Carlo method, it is pointed out that the maximum likelihood estimator of the shape parameter is biased in the cases of both complete and censored samples if the sample size is not big enough. Unbiasing factors are presented here. 3. Some valuable conclusions are obtained for sejecting the most most effective censoring...

Three questions are discussed in this paper, 1. The application of maximum likelihood estimation to the Weibull distribution and its flow charts are discussed, 2. By means of Monte-Carlo method, it is pointed out that the maximum likelihood estimator of the shape parameter is biased in the cases of both complete and censored samples if the sample size is not big enough. Unbiasing factors are presented here. 3. Some valuable conclusions are obtained for sejecting the most most effective censoring and sample size.

1.最大似然估计在Weibull分布上的实际运用和计算框图。 2.用Monte-carlo法研究后指出,在子样容量不大时,不论是完全试验还是截尾试验,形状参数b的最大似然估计是有偏的,并给出了用Monte-Carlo法得到的修偏系数表,供读者参考使用。 3.如何确定最经济的试验子样容量n和截尾数r,本文也给出了一些有益的结论。

 
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