Normalizing histograms and Finding best fit distribution

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SUMMARY

This discussion focuses on normalizing histograms of packet arrivals at a router to create probability mass functions. The key method for normalization involves expressing the number of packets as a percentage of the total, ensuring the values sum to 100%. The lognormal distribution is recommended as a starting point for determining the best fit for these histograms. Participants emphasize the importance of statistical methods in analyzing packet arrival data.

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  • Understanding of histogram creation and interpretation
  • Familiarity with probability mass functions
  • Knowledge of statistical distributions, particularly the lognormal distribution
  • Experience with data visualization tools for plotting histograms
NEXT STEPS
  • Research techniques for normalizing histograms in data analysis
  • Learn about fitting statistical distributions, focusing on the lognormal distribution
  • Explore methods for evaluating goodness-of-fit for statistical models
  • Investigate data visualization tools that can effectively display probability mass functions
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Data analysts, network engineers, and statisticians interested in analyzing packet arrival patterns and optimizing data representation through statistical methods.

shegal
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I have plotted packets arriving in one second at a router. I then made histograms of the number of occurences of same number of packets in one second time window. My question is that I want to normalize these histograms. How can I do this to get probability mass functions. And then how do I check which distributions give the best fit for these histograms.
 

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To normalize, you should express the number of packets as percent of the total, so in the end they add up to 100%.

I'd start with the lognormal distribution.
 

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