Optimal Solutions in Parameter Estimation Problems for the Cauchy Distribution
柯西分布参数估计问题的最优解
It is shown that for the estimation of the location parameter of a Cauchy distribution, for which the scale parameter is known, k-spacings corresponding to the maximum asymptotic relative efficiency (ARE) are asymmetric when k = 4m − 1; this result is in contrast to Chan's assumption that optimal k-spacings are always symmetric. Accurate solutions for the maximal ARE and optimal k-spacings obtained by a combination of dynamic programming and Newton-Raphson iterations have…