scholarly journals Shrinkage estimation of non-negative mean vector with unknown covariance under balance loss

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Hamid Karamikabir ◽  
Mahmoud Afshari ◽  
Mohammad Arashi
Keyword(s):  
Shrinkage Estimation ◽  
Balance Loss ◽  
Unknown Covariance ◽  
Mean Vector

scholarly journals Minimax Estimation of a Normal Mean Vector for Arbitrary Quadratic Loss and Unknown Covariance Matrix

1977 ◽  
Vol 5 (4) ◽  
pp. 763-771 ◽  
Author(s):  
J. Berger ◽  
M. E. Bock ◽  
L. D. Brown ◽  
G. Casella ◽  
L. Gleser
Keyword(s):  
Covariance Matrix ◽  
Minimax Estimation ◽  
Quadratic Loss ◽  
Normal Mean ◽  
Unknown Covariance ◽  
Mean Vector ◽  
Unknown Covariance Matrix

scholarly journals Capturing a Change in the Covariance Structure of a Multivariate Process

Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 156
Author(s):  
Andriette Bekker ◽  
Johannes T. Ferreira ◽  
Schalk W. Human ◽  
Karien Adamski
Keyword(s):  
Covariance Matrix ◽  
Random Variables ◽  
Covariance Structure ◽  
Multivariate Normal ◽  
New Approach ◽  
Downward Shift ◽  
Consecutive Time ◽  
Time Periods ◽  
Unknown Covariance ◽  
Mean Vector

This research is inspired from monitoring the process covariance structure of q attributes where samples are independent, having been collected from a multivariate normal distribution with known mean vector and unknown covariance matrix. The focus is on two matrix random variables, constructed from different Wishart ratios, that describe the process for the two consecutive time periods before and immediately after the change in the covariance structure took place. The product moments of these constructed random variables are highlighted and set the scene for a proposed measure to enable the practitioner to calculate the run-length probability to detect a shift immediately after a change in the covariance matrix occurs. Our results open a new approach and provides insight for detecting the change in the parameter structure as soon as possible once the underlying process, described by a multivariate normal process, encounters a permanent/sustained upward or downward shift.

Noise-Induced Balance Loss? Rethinking Clinical Implications of Noise Exposure

2019 ◽  
Vol 4 (6) ◽  
pp. 1418-1422
Author(s):  
Bre Myers ◽  
J. Andrew Dundas
Keyword(s):  
Vestibular System ◽  
Noise Exposure ◽  
Balance Control ◽  
Scope Of Practice ◽  
Hearing Conservation ◽  
Exposed Population ◽  
Auditory Systems ◽  
Current Article ◽  
Balance Loss ◽  
Cross System

Purpose The primary aim of the current article is to provide a brief review of the literature regarding the effects of noise exposure on the vestibular and balance control systems. Although the deleterious effects of noise on the auditory system are widely known and continue to be an active area of research, much less is known regarding the effects of noise on the peripheral vestibular system. Audiologists with working knowledge of how both systems interact and overlap are better prepared to provide comprehensive care to more patients as assessment of both the auditory and vestibular systems has been in the audiologists' scope of practice since 1992. Method A narrative review summarizes salient findings from the archival literature. Results Temporary and permanent effects on vestibular system function have been documented in multiple studies. Hearing conservation, vestibular impairment, and fall risk reduction may be more intimately related than previously considered. Conclusions A full appreciation of both the vestibular and auditory systems is necessary to address the growing and aging noise-exposed population. More cross-system studies are needed to further define the complex relationship between the auditory and vestibular systems to improve comprehensive patient care.

Sign in / Sign up

Export Citation Format

Share Document