Double sampling plan by variables for distributions with increasing hazard rates
type: Item
instance of: scholarly article
title: Double sampling plan by variables for distributions with increasing hazard rates
zbMATH Open document ID: 0553.62093
published in: Metron
publication date: 1983-01-01T00:00:00Z
review text: A double sampling plan by variables is proposed for the case that the items have a quality characteristic X with distribution function F with non-decreasing failure rate f/(1-F). An item is good if \(X\leq U\), the upper specification limit. The lot is accepted after inspection of the first sample of n ordered observations \(x_ 1,x_ 2,...,x_ n\) if \[ x_{n-k-j}+b_ 1(x_{n-k}-x_{n-k-j}) \leq U \] and rejected if \[ x_{n-k-j}+b_ 2(x_{n-k}-x_{n-k-j})\geq U. \] The lot is accepted after inspection of the second sample of size \(N-n\) if \[ x_{N-k- j}+b_ 2(x_{N-k}-x_{N-k-j})\leq U \] and otherwise rejected. For given n, N, k, j and a given portion of defectives p the constants \(b_ 1\) and \(b_ 2\) are determined such that the probability of acceptance on the basis of the first sample is equal to the probability of acceptance on the basis of the second sample and is equal to a given \(1-\nu\). Finally the operating characteristic and the average sample number are given.
Mathematics Subject Classification ID: 62P30
zbMATH DE Number: 3881742
zbMATH Keywords: double sampling plan by variables
zbMATH Keywords: non-decreasing failure rate
zbMATH Keywords: ordered observations
zbMATH Keywords: operating characteristic
zbMATH Keywords: average sample number
author: Heisnam Rohen Singh
author: Gauri Shankar
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3881742