Homework Help Overview
The discussion revolves around finding the variance matrix and expected variance vector for a bivariate random variable Y=(Y1,Y2), where Y1 and Y2 are discrete random variables. The context involves the exponential family of distributions and the use of canonical forms, with references to gamma functions and parameters.
Discussion Character
- Exploratory, Assumption checking, Problem interpretation
Approaches and Questions Raised
- Participants discuss the need to prove that the random variable belongs to the exponential family and to derive the canonical form. Questions arise regarding the nature of the variables (discrete vs. continuous) and their independence.
- One participant questions the independence of Y1 and Y2 based on their joint distribution, prompting a reevaluation of assumptions.
- Another participant suggests starting with the marginal distributions to derive means and variances, while also addressing the covariance between Y1 and Y2.
Discussion Status
The discussion is ongoing, with participants exploring various interpretations of the problem and questioning the assumptions made about the variables. Some guidance has been offered regarding the approach to finding marginal distributions and covariance, but no consensus has been reached on the specifics of the problem.
Contextual Notes
Participants note that the textbook used for the course primarily contains examples for single-variable cases, which contributes to confusion when dealing with multivariate scenarios. There is also a lack of clarity regarding the specification of the problem, particularly concerning the nature of the variables involved.