Growth of tuber crops and almost sure band for quantiles
Communications in Statistics: Simulation and Computation
Some tuber crops are governed by memoryless property of exponential distribution leading to a mixture distribution with heavy tail. Quantile-based estimators may then be appropriate than mean as a measure of central tendency. We prove almost sure representation theorems for sample quantiles in a general setup of U statistics, under slightly stronger assumption than assuming the existence of a continuously differentiable distribution function F for the kernel h. We obtain almost sure (a.s.) upper and lower estimate for F− 1(p), p ∈ (0, 1) as a band for p varying. As an application, dataset arising from two varieties of potato cultivation are analyzed.
Dasgupta, Ratan, "Growth of tuber crops and almost sure band for quantiles" (2017). Journal Articles. 2687.