How Do You Determine the Correct Boundaries for a Marginal Density Function?

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SUMMARY

The discussion focuses on determining the correct boundaries for a marginal density function, specifically for the variable X. A participant expresses difficulty in identifying these boundaries and suggests that the problem may be more mathematical than probabilistic. Another participant proposes an alternative approach by integrating the full probability density function (PDF) in polar coordinates, indicating a potential simplification of the problem.

PREREQUISITES
  • Understanding of marginal density functions in probability theory
  • Familiarity with probability density functions (PDFs)
  • Knowledge of integration techniques, particularly in polar coordinates
  • Basic mathematical skills related to calculus
NEXT STEPS
  • Study the concept of marginal density functions in probability theory
  • Learn about integrating probability density functions in polar coordinates
  • Explore advanced calculus techniques for boundary determination
  • Review examples of marginal distributions in statistical literature
USEFUL FOR

Students in statistics, mathematicians, and anyone involved in probability theory who seeks to understand marginal density functions and their boundaries.

wuid
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Hi all

i have problem with my h.w , i think the question is related more to math than to probability, but I'm sure someone here will find how to help me

so i attached my solution with the question, i think i have difficulty to find the right boundaries of the marginal density function of X.

please have a look ,

thx in advance
 

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Why are you trying to calculate the marginal distribution? Wouldn't it be easier just to integrate the full PDF in polar coordinates again?
 

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