Derive Analytic Formula for CDF - Homework Equations & Solution

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Homework Help Overview

The discussion revolves around deriving an analytic formula for a cumulative distribution function (CDF) in the context of probability theory. The original poster seeks clarification on the definition of an analytic formula and its relation to the CDF, which is understood to be the integral of the probability density function (PDF).

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the definition of an analytic formula and its connection to the CDF and PDF. There is an attempt to confirm the understanding that the CDF is derived from the PDF through integration.

Discussion Status

Some participants have provided insights regarding the relationship between the CDF and PDF, suggesting that the CDF can be expressed as an integral of the PDF. However, there is still uncertainty regarding the specific definition of an analytic formula, and the discussion remains open for further clarification.

Contextual Notes

The original poster expresses difficulty in finding a definition for an analytic formula, indicating a potential gap in foundational knowledge that may affect their understanding of the problem.

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Homework Statement



Derive an analytic forumula for a CDF

Homework Equations





The Attempt at a Solution



All I really want to know is what an analytic formula is? I know that the CDF is basically an integral of the PDF. I have looked all over the internet and can not find anything of the definition of an analytic formula.

Thanks!
 
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Unless they have a specific CDF F(x) in mind, perhaps they just mean

[tex]F(x) = \int_{-\infty}^x f(t)\, dt \hbox{ so } F'(x) = f(x)[/tex]

Edit Corrected typo.
 
Last edited:
Thanks. That's what I kinda figured, but I wanted to make sure that is what they ment.

Thanks again!
 
Hi can someone help me please? I am trying to do the following problem:
Prove that if f(z) is analytic, f*(z*) is also analytic. The stars represent conjugates. Thanks!
 

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