Growth of tuber crops and almost sure band for quantiles. Issue 2 (7th February 2017)

• Record Type: Journal Article
• Authors: Dasgupta, Ratan
• Is Part Of: Communications in statistics. Volume 46:Issue 2(2017)
• Page Start: 1062
• Page End: 1085
• Publication Date: 2017-02-07
• Subjects: Elephant foot yam -- Growth model -- Mixture of exponential density -- One-sided estimation -- Quantiles -- U-statistics; Primary 62E15 -- secondary 62P99; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2014.990097
• Languages: English
• ISSNs: 0361-0918

Abstract

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.