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Determination of variable sampling plans based on weighted expansion factor for a non-normal lomax process

Abstract

This article deals with designing procedure of Lomax variable sampling plans by utilizing weighted factor for a heavy tailed non-normal family. Variable sampling plans are preferred because of its efficiency in sample size and also used when the nature of the quality characteristic is measurable. If the underlying distribution is non-normal then the standard normal procedures could not be used. In many industrial situations, the quality characteristics does not follow a normal or Gaussian pattern. Hence to develop new sampling plans, an attempt has been made by assuming a heavy tailed Lomax distribution. The selection of variable sampling plans based on AQL, LQL and minimum tangent angle technique using Lomax distribution has been designed using weighted factor method. Tables are constructed and illustration is given for easy selection of sampling plans.

Advanced Statistical Process MonitoringAdvanced Statistical Methods and ModelsScientific Measurement and Uncertainty EvaluationMathematicsSampling (signal processing)StatisticsVariable (mathematics)Lomax distributionNormal distributionSelection (genetic algorithm)Mathematical optimizationComputer scienceMaximum likelihood
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