From Jason Turner

[rand.dist.samp.pconst]

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  ##### Class template `piecewise_constant_distribution` <a id="rand.dist.samp.pconst">[[rand.dist.samp.pconst]]</a>
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  A `piecewise_constant_distribution` random number distribution produces
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  random numbers x, b₀ ≤ x < bₙ, uniformly distributed over each
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  subinterval [ bᵢ, bᵢ₊₁ ) according to the probability density function
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- $$p(x \,|\, b_0, \dotsc, b_n, \; \rho_0, \dotsc, \rho_{n-1}) = \rho_i
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- \text{ , for $b_i \le x < b_{i+1}$.}$$
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  The n + 1 distribution parameters bᵢ, also known as this distribution’s
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  *interval boundaries* , shall satisfy the relation $b_i < b_{i + 1}$ for
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  i = 0, …, n - 1. Unless specified otherwise, the remaining n
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  distribution parameters are calculated as:
 
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  ##### Class template `piecewise_constant_distribution` <a id="rand.dist.samp.pconst">[[rand.dist.samp.pconst]]</a>
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  A `piecewise_constant_distribution` random number distribution produces
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  random numbers x, b₀ ≤ x < bₙ, uniformly distributed over each
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  subinterval [ bᵢ, bᵢ₊₁ ) according to the probability density function
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+ in .
 
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  The n + 1 distribution parameters bᵢ, also known as this distribution’s
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  *interval boundaries* , shall satisfy the relation $b_i < b_{i + 1}$ for
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  i = 0, …, n - 1. Unless specified otherwise, the remaining n
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  distribution parameters are calculated as: