Conditional Expectation, Given a Random Vector

1990 ◽  
pp. 445-480
Author(s):  
Paul E. Pfeiffer
Keyword(s):  
Random Vector ◽  
Conditional Expectation

FAF-DRVFL: Fuzzy activation function based deep random vector functional links network for early diagnosis of Alzheimer disease

2021 ◽  
Vol 106 ◽  
pp. 107371
Author(s):  
Rahul Sharma ◽  
Tripti Goel ◽  
M. Tanveer ◽  
Shubham Dwivedi ◽  
R. Murugan
Keyword(s):  
Alzheimer Disease ◽  
Early Diagnosis ◽  
Random Vector ◽  
Activation Function

The Concentration Ellipsoid of a Random Vector Revisited

1991 ◽  
Vol 7 (3) ◽  
pp. 397-403 ◽  
Author(s):  
Kenneth Nordström
Keyword(s):  
Quadratic Form ◽  
Random Vector ◽  
Crucial Role ◽  
Type Inequality ◽  
Estimation Theory ◽  
Linear Estimation ◽  
Nonnegative Definite

Alternative definitions of the concentration ellipsoid of a random vector are surveyed, and an extension of the concentration ellipsoid of Darmois is suggested as being the most convenient and natural definition. The advantage of the proposed definition in providing substantially simplified proofs of results in (linear) estimation theory is discussed, and is illustrated by new and short proofs of two key results. A not-so-well-known, but elementary, extremal representation of a nonnegative definite quadratic form, together with the corresponding Cauchy-Schwarẓ-type inequality, is seen to play a crucial role in these proofs.

scholarly journals Some conditional expectation identities for the multivariate normal

2010 ◽  
Vol 101 (9) ◽  
pp. 2250-2253 ◽  
Author(s):  
Christopher S. Withers ◽  
Saralees Nadarajah
Keyword(s):  
Conditional Expectation ◽  
Multivariate Normal

Utilization of random vector functional link integrated with manta ray foraging optimization for effluent prediction of wastewater treatment plant

2021 ◽  
Vol 298 ◽  
pp. 113520
Author(s):  
Khaled Elmaadawy ◽  
Mohamed Abd Elaziz ◽  
Ammar H. Elsheikh ◽  
Ahmed Moawad ◽  
Bingchuan Liu ◽  
...  
Keyword(s):  
Wastewater Treatment ◽  
Random Vector ◽  
Wastewater Treatment Plant ◽  
Treatment Plant ◽  
Functional Link ◽  
Manta Ray
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