Accession Number : AD0776766

Title :   Conditional Nearly Best Linear Estimation of the Location and Scale Parameters of the Cauchy Distribution by the Use of Censored Order Statistics.

Descriptive Note : Master thesis Mar-Dec 69,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING

Personal Author(s) : Jonson,Edward Charles

Report Date : DEC 1969

Pagination or Media Count : 315

Abstract : Methods of parameter estimation are mentioned and the rationale for using NBLUE estimation is presented. Necessary general order statistic theory is developed and the Cauchy distribution is applied to this theory. Idiosyncracies of the Cauchy distribution are noted also. NBLUE estimation theory is developed (for the location and scale parameters) to enable computation of linear estimator coefficients. Then coefficients are tabled for sample sizes N = 6(1)40(5)50 with additional censoring from above and also symmetrically. Efficiencies of conditional and simultaneous NBLUE estimators relative to BLUE estimators are also tabled. (Author)

Descriptors :   *Sampling, *Probability density functions, Estimates, Tables(Data), Theses

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE