"Growth of tuber crops and almost sure band for quantiles" by Ratan Dasgupta
 

Growth of tuber crops and almost sure band for quantiles

Article Type

Research Article

Publication Title

Communications in Statistics: Simulation and Computation

Abstract

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.

First Page

1062

Last Page

1085

DOI

10.1080/03610918.2014.990097

Publication Date

2-7-2017

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