Accession Number : AD0731057

Title :   On Order Statistics and Some Applications of Combinatorial Methods in Statistics.

Descriptive Note : Technical rept.,

Corporate Author : PURDUE UNIV LAFAYETTE IND DEPT OF STATISTICS

Personal Author(s) : Gupta,Shanti S. ; Panchapakesan,S.

Report Date : AUG 1971

Pagination or Media Count : 58

Abstract : The objective of the present report is to present some of the basic results in the theory of order statistics, describe the trend of the work done in certain areas by referring to the landmark papers and indicate some of the recent results. After a brief description of the basic theory (Section 2) and the results concerning moments and inequalities (Section 3), some important asymptotic results of Gnedenko, Smirnov, Renyi, Berman and Kiefer have been discussed in Section 4. The next two sections deal with some applications of combinatorial methods in the theory of order statistics and fluctation theory. These results are mainly conerned with the applications of the ballot lemma and its generalizations and the use of the equivalence principle. Section 7 gives an outline of some problems in estimation and hypothesis testing. The last section discusses the role of order statistics in the subset selection problems and the algebraic structure involved in identification problems. (Author)

Descriptors :   (*STATISTICAL DISTRIBUTIONS, SAMPLING), (*COMBINATORIAL ANALYSIS, RANDOM VARIABLES), STATISTICAL TESTS, ASYMPTOTIC SERIES, PROBABILITY DENSITY FUNCTIONS, STOCHASTIC PROCESSES, SEQUENCES

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE