“This paper gives a distribution for the ratio of two non-independent normally distributed random variables. The random variables involved are jointly distributed as the bivariate normal with means zero and variance- covariance matrix V.
The sample mean and one-half the sum of the smallest and largest sample observations from the symmetrically truncated Cauchy density function are compared as estimates of the mean of this density function. The reason for this comparison is to determine which of these two estimators gives the best estimate of the mean.
A method to empirically determine the best linear combination of order statistics for any symmetric population to estimate the mean of that population is developed. After the method has been developed, it is applied to the symmetrically truncated Cauchy distribution”--Abstract, page ii.
Antle, Charles E.
Miles, Aaron J.
Sauer, Harry J., Jr., 1935-2008
Joiner, James W., 1931-2013
Mathematics and Statistics
M.S. in Applied Mathematics
University of Missouri at Rolla
iv, 23 pages
© 1964 Robert M. Smith, All rights reserved.
Thesis - Open Access
Print OCLC #
Link to Catalog Record
Smith, Robert M., "A method to give the best linear combination of order statistics to estimate the mean of any symmetric population" (1964). Masters Theses. 5674.