When processing a data-stream in small space, how important is the order in which the data arrives? Are there problems that are unsolvable when the ordering is worst-case, that can typically be solved in practice? Does the role of ordering become less significant when we permit algorithms to make multiple passes over the data-stream if the stream is not re-ordered between each pass? If we consi...

his manuscript studies the stochastic comparisons of second-order statistics from dependent or independent and heterogeneous modified proportional hazard rate observations. Some sufficient conditions on usual order observations are established under Archimedean copula. also provided in arising two sets multiple-outlier numerical examples given to illustrate theoretical findings.