Discussion Overview
The discussion revolves around identifying the name of a specific probability density function defined as f(y) = aeby - cy². Participants explore its characteristics and potential classifications, including its support and relation to known distributions.
Discussion Character
Main Points Raised
- One participant inquires about the name of the probability density function f(y) = aeby - cy².
- Another participant suggests that it resembles the normal distribution and recommends completing the square in the exponent.
- A different participant notes that the function has support in the range y ∈ (0, ∞), which may affect its classification.
- One participant proposes that this characteristic could indicate it is a truncated normal distribution.
- Another participant expresses agreement with the idea of it being a truncated normal distribution.
Areas of Agreement / Disagreement
Participants express differing views on the classification of the probability density function, with no consensus reached on its exact name or nature.