Monitoring bivariate and trivariate mean vectors with a Shewhart chart

2017 ◽  
Vol 33 (8) ◽  
pp. 2035-2042 ◽  
Author(s):  
Roberto Campos Leoni ◽  
Antonio Fernando Branco Costa
Keyword(s):  
Shewhart Chart ◽  
Mean Vectors

Classification Based on Multivariate Repeated Measures with Time Effect on Mean Vector and an AR (1) Correlation Structure on the Repeated Measures

2005 ◽  
Vol 57 (1-2) ◽  
pp. 49-66 ◽  
Author(s):  
Anuradba Roy ◽  
Ravindra Khattree
Keyword(s):  
Maximum Likelihood ◽  
Repeated Measures ◽  
Likelihood Estimation ◽  
Covariance Matrices ◽  
Time Effect ◽  
Population Parameters ◽  
Time Effects ◽  
Mean Vectors ◽  
Mean Vector ◽  
Over Time

In repeated measures studies how observations change over time is often of prime interest. Modelling this time effect in the context of discrimination, is the objective of this article. We study the problem of classification with multiple q-variate observations with time effect on each individual. The covariance matrices as well as mean vectors are mordelled respectively to accommodate the correlation between the successive repeated measures and to describe the time effects. Computation schemes for maximum likelihood estimation of required population parameters are provided.

Distribution-free tests of mean vectors and covariance matrices for multivariate paired data

Metrika ◽  
2011 ◽  
Vol 75 (6) ◽  
pp. 833-854 ◽  
Author(s):  
Erning Li ◽  
Johan Lim ◽  
Kyunga Kim ◽  
Shin-Jae Lee
Keyword(s):  
Covariance Matrices ◽  
Paired Data ◽  
Distribution Free ◽  
Mean Vectors

scholarly journals Comparison of Spatial Instantaneous ECG Vectors, Measured with the SVEC, with Mean Vectors Derived from Conventional ECG Leads

1955 ◽  
Vol 3 (4) ◽  
pp. 320-329 ◽  
Author(s):  
ERNST SIMONSON ◽  
OTTO H. SCHMITT ◽  
RAPHAEL B. LEVINE
Keyword(s):  
Mean Vectors ◽  
Ecg Leads

MULTIVARIATE TESTS OF NORMAL MEAN VECTORS WITH RESTRICTED ALTERNATIVES

2002 ◽  
Vol 31 (4) ◽  
pp. 589-604 ◽  
Author(s):  
Ekkehard Glimm ◽  
Muni S. Srivastava ◽  
Jürgen Läuter
Keyword(s):  
Multivariate Tests ◽  
Normal Mean ◽  
Mean Vectors

scholarly journals Morphological Divergence of Snow Trout (Schizothorax Richardsonii, Gray 1932) from Rivers of Nepal with Insights from a Morphometric Analysis

2015 ◽  
Vol 3 (3) ◽  
pp. 464-473
Author(s):  
Suresh Kumar Wagle ◽  
Neeta Pradhan ◽  
Madhav Kumar Shrestha
Keyword(s):  
Size Variation ◽  
Principal Component ◽  
Head Region ◽  
Body Depth ◽  
Morphometric Characters ◽  
Significant Difference ◽  
Snow Trout ◽  
Major River ◽  
Mean Vectors ◽  
Schizothorax Richardsonii

Asala or snow trout (Schizothorax richardsonii, Cyprinidae), one of highly valued freshwater fish of Transhimalayan regions, is distributed in upper reaches of all major river systems of Nepal. Morphometric diversification between six river populations of S. richardsonii was examined to identify intraspecific unit for enabling better management of the resources. Significant differences were observed in 17 measured morphometric characters of 207 specimens among the six river populations. Multivariate analysis of variance (Wilks' test) indicated a significant difference for mean vectors of mophometric measurements (? =0.012, F85, 731 = 19.999, P<0.0001) among populations. Principal component and discriminant functions (DFs) analysis of morphometric measurements revealed high seperation of the stocks. The analysis showed that most of the shape and size variation among these populations occurs in the head region, body depth and fin length. Apparent morphometric divergence among S. richardsonii samples showed the existence of three differentiated groups viz., the Indrawati and Khudi populations, the Melamchi and Phalaku Rivers, and the Sabha and Tadi River populations of Nepal. The results of this study may be useful in fisheries management and potential exploitation of this species in coldwater aquaculture.Int J Appl Sci Biotechnol, Vol 3(3): 464-473

Sequential estimation of a linear function of mean vectors

1989 ◽  
Vol 8 (4) ◽  
pp. 381-394 ◽  
Author(s):  
N. Mukhopadhyay ◽  
S. Liberman
Keyword(s):  
Linear Function ◽  
Sequential Estimation ◽  
Mean Vectors
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