APPROXIMATE DISTRIBUTION OF EXTREMES FOR NONSAMPLE CASES,
Abstract
The data are n univariate observations that are not necessarily from the same population, from continuous populations, or independent. General expressions are developed that depend on n, the extreme considered, and the arithmetic average of the cumulative distribution functions (cdf's) for the individual observations. The results are in a form that is satisfactory for practical applications; a rule is given for deciding when n is large enough for their use. A basis is furnished for deciding on the suitability of the model from the characteristics of the experimental situation, and consistent estimation of the average of the cdf's is considered. Some reasons are given which tend to explain the frequent occurrence of asymptotic distributions that occur for the case of samples from continuous populations also seem to frequently occur for nonsample cases involving data that are not necessarily continuous. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 28, 1963
- Accession Number
- AD0425019
Entities
People
- John E. Walsh
Organizations
- System Development Corporation