Accession Number : AD0014483


Title :   On Distribution - Free Statistics


Descriptive Note : Technical rept.


Corporate Author : WASHINGTON UNIV SEATTLE LAB OF STATISTICAL RESEARCH


Personal Author(s) : Birabaum, Z W ; Rubin, H


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/014483.pdf


Report Date : 24 Jul 1953


Pagination or Media Count : 11


Abstract : The concepts of distribution-free statistics and statistics of structure (d) were defined relative to families Omega and Omega' of cumulative probability functions. A counter example was presented to disprove the conjecture that every distribution-free statistic, symmetric in X1, X2...., Xn (a sample of a 1-dimensional random variable X with a continuous cumulative probability function F) with Omega = Omega' = Omega 2, has structure (d). Strongly distribution-free statistics in a family Omega* with respect to Omega' were defined, and a proof was presented of the equivalence of statistics of structure (d) and strongly distribution-free statistics under the condition that Omega = Omega' = Omega*.


Descriptors :   *PROBABILITY DISTRIBUTION FUNCTIONS , STATISTICS , PROBABILITY , DISTRIBUTION


Subject Categories : Statistics and Probability


Distribution Statement : APPROVED FOR PUBLIC RELEASE