Article/Chapter Title :
Statistical Analysis With Partial Information
Statistical Theory of Extremes
Extreme observations , Lower tail , Subsample method , Largest observations , Subsample maxima , Bock partitions
The chapter deals with some sparse results in which the samples are not complete. The analysis concerned with drawing inferences about quantities associated with right tail of the real F(.) when n is large, using asymptotic extreme value theory. The corresponding quantiles for the lower tail can be dealt with by the usual transformation from maxima to minima. Largest observations and subsamples maxima are compared. Subsample maxima method shows definite superiority. Estimation using two or three quantiles, estimations of the parameters using block partitions of the samples and estimations using exceedances over thresholds are also discussed.