Under certain conditions, the distribution of burr is shown to follow an extreme value distribution. In this context, a result on extremal process based on stationary sequence is proved. Some data sets are analyzed and applications of the results indicated.

Plant sensitivity under extreme stress in harsh agro-climatic environment for yam plants is studied to maximise yam yield for different seed weights. Longitudinal growths of 60 Elephant-foot-yam, 20 for each seed weight 500 g, 650 g and 800 g are examined in a field experiment conducted at Indian Statistical Institute Giridih, Jharkhand. Little manure and a few irrigations were available during the experiment. In order to maximise total yield, we examine yam growth under stress of interim yam detachment with two options: interim yam detachment towards the beginning of experiment, or at a later time from the middle of experiment; we also examine undisturbed yam growth for comparison. Growth curve analysis indicates that uprooting plants for taking interim readings and subsequent replantation has a favorable effect on inert growth of yam. For three different seed weights in either of three categories of induced stress on yam plants as, detachment of yam at first interim reading, detachment at second interim reading, and no interim detachment during experiment -only uprooting and replanting after taking growth readings; longitudinal growth curves are constructed via four possible readings on yam. Detaching yam around four and half month from sprouting for seed weight 800 g, and replanting the remaining stem structure with some roots attached to it and continue experiment till final harvest on maturity, has significantly increasing effect on interim yield plus yield on maturity, in comparison with other strategies under extreme stress. Yam growth becomes higher due to stress from interim yam detachment.

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Consider the problem of modeling the proportion wastage arising out of trimming the edges of paper and metal sheets to give these a regular shape. It is observed that curved edges in such cases may follow the sample path of a Ornstein- Uhlenbeck process. The production characteristic can then be expressed in terms of the parameters of the process which are estimable from the observed shape of the edge. Sample edge trajectories of two production processes are analysed and the production efficiency is interpreted in terms of proportion wastage.

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