On the Asymptotic Sufficiency of Certain Order Statistics
某些次序统计量的渐近充分性
SUMMARY The problem of estimating distance to a stellar system, from measurements on the apparent magnitude of the jth brightest object in the system, reduces to estimating the location parameter of a distribution. Astronomical observations provide apparent magnitudes of only a few of the brightest objects in a system. In this connection, two theoretical problems arise. One is to find the best estimate based on available observations, and the other to determine which of the…