On the Monotone Likelihood Ratio Ofa "faulty Inspection" Distribution
نویسنده
چکیده
Let X denote the number of items declared defective in a sample of size n selected without replacemant from a batch of N items containing B defectives, where testing is fallible. In this note it is shown that the density of X, p(x, B), has a monotone likelihood
منابع مشابه
On Burr III-Inverse Weibull Distribution with COVID-19 Applications
We introduce a flexible lifetime distribution called Burr III-Inverse Weibull (BIII-IW). The new proposed distribution has well-known sub-models. The BIII-IW density function includes exponential, left-skewed, right-skewed and symmetrical shapes. The BIII-IW model’s failure rate can be monotone and non-monotone depending on the parameter values. To show the importance of the BIII-IW distributio...
متن کاملLikelihood Ratio Tests for Monotone Functions
Ve study the problem of testing for equality at a fixed point in the setting of nonparametric estimation of a monotone function. The likelihood ratio test for this hypothesis is derived in the particular case of interval censoring (or current status data) and its limiting distribution is obtained. The limiting distribution is that of the integral of the difference of the squared slope processes...
متن کاملLikelihood Based Inference For Monotone Functions: Towards a General Theory
The behavior of maximum likelihood estimates (MLE’s) and the likelihood ratio statistic in a family of problems involving pointwise nonparametric estimation of a monotone function is studied. This class of problems differs radically from the usual parametric or semiparametric situations in that the MLE of the monotone function at a point converges to the truth at rate n (slower than the usual √...
متن کاملLikelihood Based Inference for Monotone Response Models
The behavior of maximum likelihood estimates (MLEs) and the likelihood ratio statistic in a family of problems involving pointwise nonparametric estimation of a monotone function is studied. This class of problems differs radically from the usual parametric or semiparametric situations in that the MLE of the monotone function at a point converges to the truth at rate n (slower than the usual √ ...
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 کامل