A Generalized Pivotal Quantity Approach to the Parametric Tolerance Interval Test for Dose Content Uniformity Batch Testing

2012 ◽  
Vol 4 (1) ◽  
pp. 28-36 ◽  
Author(s):  
Richard A. Lewis ◽  
Steven J. Novick
Keyword(s):  
Content Uniformity ◽  
Tolerance Interval ◽  
Pivotal Quantity ◽  
Generalized Pivotal Quantity ◽  
Batch Testing

scholarly journals Validation and Measurement Uncertainty Assessment of a Microbiological Method Using Generalized Pivotal Quantity Procedure and Monte-Carlo Simulation

2018 ◽  
Vol 101 (4) ◽  
pp. 1205-1211
Author(s):  
Saad Alaoui Sossé ◽  
Taoufiq Saffaj ◽  
Bouchaib Ihssane
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Measurement Uncertainty ◽  
Uncertainty Assessment ◽  
Tolerance Interval ◽  
Alternative Procedure ◽  
Pivotal Quantity ◽  
Statistical Tool ◽  
Generalized Pivotal Quantity ◽  
Escherichia Coli Bacteria

Abstract Recently, a novel and effective statistical tool called the uncertainty profile has been developed with the purpose of graphically assessing the validity and estimating the measurement uncertainty of analytical procedures. One way to construct the uncertainty profile is to compute the β-content, γ-confidence tolerance interval. In this study, we propose a tolerance interval based on the combination of the generalized pivotal quantity procedure and Monte-Carlo simulation. The uncertainty profile has been applied successfully in several fields. However, in order to further confirm its universality, this newer approach has been applied to assess the performance of an alternative procedure versus a reference procedure for counting of Escherichia coli bacteria in drinking water. Hence, the aims of this research were to expose how the uncertainty profile can be powerfully applied pursuant to ISO 16140 standards in the frame of interlaboratory study and how to easily make a decision concerning the validity of the procedure. The analysis of the results shows that after the introduction of a correction factor, the alternative procedure is deemed valid over the studied range because the uncertainty limits lie within the acceptability limits set at ±−0.3 log unit/100 ml for a β = 66.7% and γ = 90%.

Constructing a confidence interval for the ratio of normal distribution quantiles

2020 ◽  
Vol 26 (4) ◽  
pp. 325-334
Author(s):  
Ahad Malekzadeh ◽  
Seyed Mahdi Mahmoudi
Keyword(s):  
Confidence Interval ◽  
Normal Distribution ◽  
Confidence Intervals ◽  
Pivotal Quantity ◽  
Simple Method ◽  
Normal Populations ◽  
Generalized Pivotal Quantity ◽  
Variance Estimate

AbstractIn this paper, to construct a confidence interval (general and shortest) for quantiles of normal distribution in one population, we present a pivotal quantity that has non-central t distribution. In the case of two independent normal populations, we propose a confidence interval for the ratio of quantiles based on the generalized pivotal quantity, and we introduce a simple method for extracting its percentiles, based on which a shorter confidence interval can be created. Also, we provide general and shorter confidence intervals using the method of variance estimate recovery. The performance of five proposed methods will be examined by using simulation and examples.

A generalized pivotal quantity approach to portfolio selection

2016 ◽  
Vol 44 (8) ◽  
pp. 1402-1420 ◽  
Author(s):  
Philip L.H. Yu ◽  
Thomas Mathew ◽  
Yuanyuan Zhu
Keyword(s):  
Portfolio Selection ◽  
Pivotal Quantity ◽  
Generalized Pivotal Quantity

scholarly journals Equivariance and Generalized Inference in Two-Sample Location-Scale Families

2011 ◽  
Vol 2011 ◽  
pp. 1-16
Author(s):  
Sévérien Nkurunziza ◽  
Fuqi Chen
Keyword(s):  
Monte Carlo Simulation ◽  
Maximum Likelihood Estimators ◽  
Conditional Inference ◽  
Simulation Studies ◽  
Pivotal Quantity ◽  
Minimum Risk ◽  
Generalized Pivotal Quantity ◽  
Location Parameters ◽  
Generalized Inference ◽  
The Difference

We are interested in-typical Behrens-Fisher problem in general location-scale families. We present a method of constructing generalized pivotal quantity (GPQ) and generalizedPvalue (GPV) for the difference between two location parameters. The suggested method is based on the minimum risk equivariant estimators (MREs), and thus, it is an extension of the methods based on maximum likelihood estimators and conditional inference, which have been, so far, applied to some specific distributions. The efficiency of the procedure is illustrated by Monte Carlo simulation studies. Finally, we apply the proposed method to two real datasets.

The Effect of Superdisintegrants on the Dissolution of Promethazine. HCl Fast Dissolving Tablets

2010 ◽  
Vol 3 (1) ◽  
pp. 867-871
Author(s):  
Ganesh kumar Gudas ◽  
Manasa B ◽  
Senthil Kumaran K ◽  
Rajesham V V ◽  
Kiran Kumar S ◽  
...  
Keyword(s):  
Dissolution Rate ◽  
Angle Of Repose ◽  
Content Uniformity ◽  
Disintegration Time ◽  
Enhanced Dissolution ◽  
Weight Variation ◽  
Compressibility Index ◽  
Chemoreceptor Trigger Zone ◽  
Trigger Zone ◽  
Standard Limit

Promethazine.HCl is a potent anti-emetic. The central antimuscarinic actions of antihistamines are probably responsible for their anti-emetic effects. Promethazine is also believed to inhibit the medullary chemoreceptor trigger zone, and antagonize apomorphine -induced vomiting. Fast dissolving tablets of Promethazine.HCl were prepared using five superdisintegrants viz; sodium starch glycolate, crospovidone, croscarmellose, L-HPC and pregelatinised starch. The precompression blend was tested for angle of repose, bulk density, tapped density, compressibility index and Hausner’s ratio. The tablets were evaluated for weight variation, hardness, friability, disintegration time (1 min), dissolution rate, content uniformity, and were found to be within standard limit. It was concluded that the fast dissolving tablets with proper hardness, rapidly disintegrating with enhanced dissolution can be made using selected superdisintegrants. Among the different formulations of Promethazine.HCl was prepared and studied and the formulation S2 containing crospovidone, mannitol and microcrystalline cellulose combination was found to be the fast dissolving formulation. In the present study an attempt has been made to prepare fast dissolving tablets of Promethazine.HCl, by using different superdisintegrants with enhanced disintegration and dissolution rate. 

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