A new one-sided variable inspection plan for continuous distribution functions
نویسنده
چکیده
The ordinary variable inspection plans rely on the normality of the underlying populations. However, often this assumption is vague or even not satisfied. A new variable inspection plan is constructed that can be applied for continuous distributions with medium to long tails and that requires relatively moderate sample sizes only. The main idea is that nonconforming items occur in the tails of the distribution. The tails are approximated by a generalized Pareto distribution and the fraction defective is estimated by the Maximum-Likelihood method.
منابع مشابه
Determining an Economically Optimal (N,C) Design via Using Loss Functions
In this paper, we introduce a new sampling plan based on the defective proportion of batch. The proposed sampling plan is based on the distribution function of the proportion defective. A continuous loss function is used to quantify deviations between the proportion defective and its acceptance quality level (AQL). For practical purpose, a sensitivity analysis is carried out on the different v...
متن کاملVariable inspection plans for continuous populations with unknown short tail distributions
The ordinary variable inspection plans are sensitive to deviations from the normality assumption. A new variable inspection plan is constructed that can be used for arbitrary continuous populations with short tail distributions. The peaks over threshold method is used, the tails are approximated by a generalized Pareto distribution, their parameters and the fraction defective are estimated by a...
متن کاملON THE POWER FUNCTION OF THE LRT AGAINST ONE-SIDED AND TWO-SIDED ALTERNATIVES IN BIVARIATE NORMAL DISTRIBUTION
This paper addresses the problem of testing simple hypotheses about the mean of a bivariate normal distribution with identity covariance matrix against restricted alternatives. The LRTs and their power functions for such types of hypotheses are derived. Furthermore, through some elementary calculus, it is shown that the power function of the LRT satisfies certain monotonicity and symmetry p...
متن کاملEconomical Design of Double Variables Acceptance Sampling With Inspection Errors
The paper presents an economical model for double variable acceptance sampling with inspection errors. Taguchi cost function is used as acceptance cost while quality specification functions are normal with known variance. An optimization model is developed for double variables acceptance sampling scheme at the presence of inspection errors with either constant or monotone value functions. The m...
متن کاملContinuous Discrete Variable Optimization of Structures Using Approximation Methods
Optimum design of structures is achieved while the design variables are continuous and discrete. To reduce the computational work involved in the optimization process, all the functions that are expensive to evaluate, are approximated. To approximate these functions, a semi quadratic function is employed. Only the diagonal terms of the Hessian matrix are used and these elements are estimated fr...
متن کامل