How to get the normalized log-normal distribution equation?

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SUMMARY

The discussion centers on the normalized log-normal distribution equation, specifically the left-hand side (LHS) equation compared to the right-hand side (RHS) equation, which is identified as the probability density function (PDF) of the log-normal distribution. The participant seeks clarification on deriving the normalized log-normal function, emphasizing the need to understand the relationship between the LHS and RHS equations. The conversation highlights the importance of normalization in statistical distributions.

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  • Understanding of log-normal distribution and its properties
  • Familiarity with probability density functions (PDF)
  • Basic knowledge of normalization in statistics
  • Concept of comparing distributions, particularly normal and log-normal
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  • Research the derivation of the log-normal distribution equations
  • Study the normalization process in probability distributions
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Statisticians, data analysts, and students studying probability distributions who are looking to deepen their understanding of log-normal distributions and their normalization processes.

Seunghyun Moon
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I have a quick(?) question about log-normal distribution. As far as I know, the right-side equation (from wiki) is the PDF of log-normal distribution. However... How I can get the left-side equation...??

I do not know how I can get the normalized log-normal function? please help me...
 

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The RHS equation is the normalized log distribution.
The LHS shows the norm-log distribution... compare with normal distribution.
 

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