Accession Number : AD0650511

Title :   MEAN SQUARE INVARIANT FORECASTERS FOR SOME WEIBULL DISTRIBUTIONS.

Descriptive Note : Technical rept.,

Corporate Author : COLUMBIA UNIV NEW YORK SCHOOL OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s) : DE Oliveira,J. Tiago ; Littauer,Sebastian B.

Report Date : 01 MAR 1967

Pagination or Media Count : 17

Abstract : Given n initial observations constituting a sequence drawn from a set X1, ... , Xn, of n independent and identically distributed random variables with the Weibull distribution (known shape parameter), a mean square invariant forecaster has been found for the expected minimum (maximum) of a subsequent sequence of the next m observations. When the location parameter instead of the shape parameter is known, reduction to the Gumbel distribution is immediate and the same technique again gives an invariant forecaster. The formulae, although amenable to computation, are cumbersome.

Descriptors :   (*MATHEMATICAL PREDICTION, *MINIMAX TECHNIQUE), (*INVARIANCE, RANDOM VARIABLES), RELIABILITY, SEQUENCES(MATHEMATICS), NUMERICAL ANALYSIS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE