The X-Estimator (XE) for the K-distribution shape parameter v based on the zlog(z) expectation can be computed without solving nonlinear equations;thus, it has high estimating efficiency. Nonetheless, its estimating accuracy is lower than many other moment estimators, and occasionally the XE results in odd values. To best use its advantages and avoid its disadvantages, on the basis of derivation and analysis of the XE bias using a set of Monte Carlo experiments, the X-Estimator with a Corrective term (XCE), which overcomes the above shortcomings of the XE, is discussed. Simulations show that the XE and XCE have the same high computational estimating efficiency, whereas the XCE significantly enhances the accuracy of the estimating shape parameter.%基于[zlog(z)]的K分布形状参数v的X-估计器(XE)虽然具有免于求解非线性方程的计算因而估计效率高的优点，但是，其估计精度却低于许多其他矩估计器，且有时会出现奇异值的情况。为扬长避短，在对 X-估计器的估计偏差进行推导和分析的基础上，通过一系列 Monte-Carlo 实验，X-估计器改进成文中提出的具有校正项的X-估计器(XCE)。XCE克服了X-估计器的上述缺点。仿真实验表明，XCE保持了XE高的估计效率，同时显著地提高了参数估计的精度。
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