Gamma Distribution Homework: Estimating % Days > 10

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SUMMARY

The discussion focuses on modeling electricity consumption data using the Gamma distribution to estimate the percentage of days with consumption greater than 10. The user has successfully calculated the moment estimates for the parameters alpha and lambda but is struggling to connect these estimates to the specific question regarding the percentage of days exceeding the threshold. Relevant formulas and methods for applying the Gamma distribution to this problem are necessary for further assistance.

PREREQUISITES
  • Understanding of Gamma distribution and its parameters (alpha and lambda).
  • Knowledge of moment estimates in statistical modeling.
  • Familiarity with probability density functions and cumulative distribution functions.
  • Basic statistics concepts, including random variables and their distributions.
NEXT STEPS
  • Research the application of the Gamma distribution in real-world scenarios.
  • Learn how to derive the cumulative distribution function (CDF) for the Gamma distribution.
  • Explore methods for calculating probabilities using moment estimates.
  • Study statistical software tools like R or Python for implementing Gamma distribution models.
USEFUL FOR

Students in statistics or data science, researchers analyzing consumption data, and anyone interested in applying the Gamma distribution for probability estimation.

EvLer
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Homework Statement


so, I'm given some sample data: electricity consumption on randomly selected n days, and asked to model the problem using Gamma distribution, then the question is to estimate percentage of days on which consumption was > 10 by using moment estimates.

So, I can find the moment estimates for the two parameters: alpha number of exponentially distributed RVs each with mean lambda.
But I do not know how to relate the estimates of the parameters to the question I am asked!
could someone explain, please?
 
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Really, you have to give the relevant formulas here to get more people (such as me) to try to help.
 

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