Understanding the Meaning of f_Y(y) in Density Functions

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Homework Help Overview

The discussion revolves around understanding the notation and meaning of f_Y(y) in the context of density functions, specifically related to random variables.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the definitions of the symbols involved, questioning the meaning of Y and y, and suggesting interpretations related to derivatives and domain restrictions.

Discussion Status

The discussion is ongoing with various interpretations being explored. Some participants provide insights into the meaning of f_Y as a density function, while others challenge or refine these interpretations.

Contextual Notes

There appears to be some confusion regarding the definitions and roles of the variables involved, as well as the relationship between the density function and probability.

nhrock3
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[tex]f_Y(y)[/tex]

f means density function what are Y and y
?
 
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It's probably the partial derivative of f with respect to Y at y.
 
Or, in some cases, the capital Y can represent the restriction of the domain of f to Y.
 
with respect to probability(its not what you said)
 
[itex]f_Y[/itex] is the given density function of random variable Y and [itex]f_Y(y)[/itex] is its value for some specific value y.
 

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