Percentile Matching Estimation of Zigzag Uncertainty Distribution

Theproblemofestimatingparametersinvolvedinzigzaguncertaintydistributionisconsideredinthis article.Sensingthedifficultiesinvolvedinthedirectapplicationofstatisticalestimationtechniques foruncertaintydistribution,thepresentarticleconsiderstheapplicationofthemethodofpercentile matchingforestimatingtheunknownparametersofzigzaguncertaintydistribution.Thisarticleclearly establishesthefactthatthepercentilematchingmethodgivesbetterestimateswhencomparedtothe methodofmomentsifsamplepercentilesofappropriateordersareusedintheestimationprocess. Detailed numerical studies have been carried out using simulated datasets possessing different characteristicsforidentifyingoptimalordersofpercentileswhichgivebetterestimatesofparameters. KEywoRDS Method of Moments, Method of Percentile Matching, Zigzag Uncertainty Distribution