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 ...

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...

expressions are derived for the required probabilities in the case of Uniform (−1,1) and exponential distributions. For the population median, it is shown that the first upper record is the Pitman-closest among all upper record values. Moreover...

In this paper, we investigate the potential statistical evidence in an experiment in terms of Renyi distance and compare the potential statistical evidence in lower(upper) record values with that in the same number of iid observations from the same...

In this paper, the largest and the smallest...

In this paper, we obtained prediction intervals for future order statistics in terms of record values coming from Pareto distribution....

Consider a one-component repairable system that the number of its repair is a positive variable. It is shown that several reliability properties preserve under minimal repair policy. A necessary and sufficient condition ...

We study the problem of predicting future records based on observed order statistics

from two parameter exponential distribution. The prediction intervals for the future order

statistics as well as for the ...

In this paper, a general class of dsistribution is considered ...

In a sequence of observations, a specific observation is called an upper (lower) record value if its value exceeds (falls) all previous observations. These type of data arise naturally in a variety of practical situations. In statistical inference...