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The boxcar function is a function, not a probability distribution. It cannot be expressed "in terms of the uniform distribution" as the article says. Maybe it can be expressed in terms of the probability density function (pdf) of a uniformly distributed random variable. Even better would be to just
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a is the x-axis label for the left-most part of the function when the function when it equals the value A. b is the x-axis label for the right-most part of the function when it equals A. That is,
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The relation with
Heaviside step function is interesting and should be noted, but simple descriptions of functions are better for sake of mathematics and programming.
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The image provided could use labels denoting where a and b are located on the x axis and a little more on the meaning of A. How is A defined?
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515:{\displaystyle {\text{boxcar}}(x)={\begin{cases}A&{\text{for }}a\leq x\leq b\\0&{\text{otherwise}}\end{cases}}}
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labels should go, so I left those out for now. If anyone lets me know I can add them to the diagram easily. --
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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I've replaced the old image with a new SVG one for easier editing. I've added labels on the
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give the formula and say that the pdf of a uniform random variable is a boxcar function.
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