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* * As an example, take g(x, y) = xy for discrete random variables X and Y with the joint probability distribution given in the table. The expectation of XY is computed as follows: With the rule above we can compute the expectation of a random variable X with a Bin(n,p) which can be viewed as sum of Ber(p) distributions: * * Proof that E[X + Y] = E[X] + E[Y]: Var(X + Y) is generally not equal ...
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We use cognitive neuroscience methods to study working memory, social memory, episodic memory, and general social cognition. Some of our studies will help us to understand and treat neurological and psychiatric disorders, such as frontotemporal dementia, autism, and schizophrenia. Many of the disorders we study cause serious impairments and are very difficult to treat. Further research is ...
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Lab Director Liz Heller Murray, Ph.D., CCC-SLP Dr. Heller Murray (pronouns: she/her) is an assistant professor in the Department of Communication Sciences and Disorders. She completed her MS in Speech-Language Pathology at MGH Institute of Health Professions and her doctoral and postdoctoral work at Boston University. Dr. Heller Murray’s clinical background has focused on treating children ...
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Home Projects Autler-Townes (AT) spectroscopic studies and quantum control All-optical alignment and orientation of the molecular angular momentum Measurement of eTDM (R). All-optical spin switch Laser spectroscopy Cs₂ Rb₂ K₂ Na₂ Li₂ Collisional studies EIT Molecular beam apparatus Er₂/Dy₂ Publications Invited Reviews Members Principal Investigators Current Graduate Students ...
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