: Mathematics: U-quadratic distribution

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U-quadratic distribution

In probability theory and statistics, the U-quadratic distribution is a continuous probability distribution defined by a unique convex quadratic function with lower limit a and upper limit b.
${\\displaystyle f(x|a,b,\\alpha ,\eta )=\\alpha \\left(x-\eta \ ight)^{2},\\quad {\ ext{for }}x\\in [a,b].}$

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