From Jason Turner

[rand.dist.bern]

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tmp/tmp36dfczxz/{from.md → to.md} RENAMED
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  #### Bernoulli distributions <a id="rand.dist.bern">[[rand.dist.bern]]</a>
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  ##### Class `bernoulli_distribution` <a id="rand.dist.bern.bernoulli">[[rand.dist.bern.bernoulli]]</a>
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  A `bernoulli_distribution` random number distribution produces `bool`
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- values b distributed according to the discrete probability function
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- $$P(b\,|\,p) = \left\{ \begin{array}{ll}
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- p & \text{ if $b = \tcode{true}$, or} \\
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- 1 - p & \text{ if $b = \tcode{false}$.}
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- \end{array}\right.$$
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  ``` cpp
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  namespace std {
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  class bernoulli_distribution {
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  public:
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  ##### Class template `binomial_distribution` <a id="rand.dist.bern.bin">[[rand.dist.bern.bin]]</a>
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  A `binomial_distribution` random number distribution produces integer
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  values i ≥ 0 distributed according to the discrete probability function
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- $$P(i\,|\,t,p) = \binom{t}{i} \cdot p^i \cdot (1-p)^{t-i} \text{ .}$$
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  ``` cpp
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  namespace std {
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  template<class IntType = int>
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  class binomial_distribution {
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  ##### Class template `geometric_distribution` <a id="rand.dist.bern.geo">[[rand.dist.bern.geo]]</a>
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  A `geometric_distribution` random number distribution produces integer
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  values i ≥ 0 distributed according to the discrete probability function
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- $$P(i\,|\,p) = p \cdot (1-p)^{i} \text{ .}$$
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  ``` cpp
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  namespace std {
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  template<class IntType = int>
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  class geometric_distribution {
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  ##### Class template `negative_binomial_distribution` <a id="rand.dist.bern.negbin">[[rand.dist.bern.negbin]]</a>
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  A `negative_binomial_distribution` random number distribution produces
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  random integers i ≥ 0 distributed according to the discrete probability
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- function
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- $$P(i\,|\,k,p) = \binom{k+i-1}{i} \cdot p^k \cdot (1-p)^i \text{ .}$$
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  [*Note 1*: This implies that P(i | k,p) is undefined when
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  `p == 1`. — *end note*]
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  ``` cpp
 
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  #### Bernoulli distributions <a id="rand.dist.bern">[[rand.dist.bern]]</a>
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  ##### Class `bernoulli_distribution` <a id="rand.dist.bern.bernoulli">[[rand.dist.bern.bernoulli]]</a>
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  A `bernoulli_distribution` random number distribution produces `bool`
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+ values b distributed according to the discrete probability function in .
 
 
 
 
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  ``` cpp
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  namespace std {
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  class bernoulli_distribution {
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  public:
 
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  ##### Class template `binomial_distribution` <a id="rand.dist.bern.bin">[[rand.dist.bern.bin]]</a>
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  A `binomial_distribution` random number distribution produces integer
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  values i ≥ 0 distributed according to the discrete probability function
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+ in .
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  ``` cpp
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  namespace std {
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  template<class IntType = int>
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  class binomial_distribution {
 
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  ##### Class template `geometric_distribution` <a id="rand.dist.bern.geo">[[rand.dist.bern.geo]]</a>
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  A `geometric_distribution` random number distribution produces integer
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  values i ≥ 0 distributed according to the discrete probability function
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+ in .
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  ``` cpp
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  namespace std {
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  template<class IntType = int>
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  class geometric_distribution {
 
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  ##### Class template `negative_binomial_distribution` <a id="rand.dist.bern.negbin">[[rand.dist.bern.negbin]]</a>
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  A `negative_binomial_distribution` random number distribution produces
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  random integers i ≥ 0 distributed according to the discrete probability
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+ function in .
 
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  [*Note 1*: This implies that P(i | k,p) is undefined when
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  `p == 1`. — *end note*]
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  ``` cpp