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Related: What is the significance of the derivative of a probability density function of a continuous random variable?

I am interested to know if there is a name for the derivative of the density function, maybe written by some author in some textbook.

For example, if $P(x)$ is the cumulative distribution function, then the derivative $P'(x)$ has a name (which is the density function).

Is there a good name/interpretation for $P''(x)$, the second derivative of the cumulative distribution function (or first derivative of density function)? Maybe written in some math/statistics textbook by some author?

I am currently doing a coding project, and I want to give it a good name to the first derivative of density function.

double probCumulative = 0.95
double probDensity = 0.4
double ....goodname?.... = 0.1

Thank you very much.

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  • $\begingroup$ Welcome to MSE. Please use MathJax. $\endgroup$
    – José Carlos Santos
    Sep 18, 2017 at 9:57
  • $\begingroup$ probDerivative may be good name ? $\endgroup$
    – alexjo
    Sep 18, 2017 at 10:04

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