It is shown how various exact nonparametric inferential procedures can be developed based on record statistics. These include confidence intervals for quantiles, tolerance intervals, outer and inner confidence intervals for quantile intervals, and upper and lower confidence limits for quantile...

Often, in industrial stress testing, meteorological data analysis, athletic events, and other similar situations, measurements may be made sequentially and only values larger or smaller than all previous ones are observed. When the number of records is fixed in advance, the data are referred to...

Suppose we know the combined number of upper and lower records and the current values of the lower and the upper records. Then, it is shown how various exact non-parametric confidence intervals can be constructed based on this information. Such intervals are exact and distribution-free in that...

In a sequence of independent and identically distributed (iid) random variables, the kth largest (smallest) observation in a partial sample is well-known as the upper (lower) k-record value, when its value is greater (smaller) than the corresponding observation in the previous partial sample. In...