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# std::negative_binomial_distribution

From cppreference.com
< cpp‎ | numeric‎ | random

Defined in header `<random>` |  |
template< class IntType = int > class negative_binomial_distribution; |  | (since C++11)

Produces random non-negative integer values i, distributed according to discrete probability function:

  P(i|k,p) =⎛
  ⎜
  ⎝k + i − 1
  i⎞
  ⎟
  ⎠ · pk
  · (1 − p)i

The value represents the number of failures in a series of independent yes/no trials (each succeeds with probability p), before exactly k successes occur.

### [edit] Member types

Member type | Definition
`result_type` | IntType
`param_type` | the type of the parameter set, unspecified

### [edit] Member functions

(constructor) | constructs new distribution (public member function) [edit]
reset | resets the internal state of the distribution (public member function) [edit]
##### Generation
operator() | generates the next random number in the distribution (public member function) [edit]
##### Characteristics
p k | returns the distribution parameters (public member function) [edit]
param | gets or sets the distribution parameter object (public member function) [edit]
min | returns the minimum potentially generated value (public member function) [edit]
max | returns the maximum potentially generated value (public member function) [edit]

### [edit] Non-member functions

operator==operator!= | compares two distribution objects (function) [edit]
operator<<operator>> | performs stream input and output on pseudo-random number distribution (function) [edit]

### [edit] Example

Run this code

    #include <iostream>
    #include <iomanip>
    #include <string>
    #include <map>
    #include <random>

    int main()
    {
        std::random_device rd;
        std::mt19937 gen(rd());
        // Pat goes door-to-door selling cookies
        // At each house, there's a 75% chance that she sells one box
        // how many times will she be turned away before selling 5 boxes?
        std::negative_binomial_distribution<> d(5, 0.75);

        std::map<int, int> hist;
        for(int n=0; n<10000; ++n) {
            ++hist[d(gen)];
        }
        for(auto p : hist) {
            std::cout  << p.first << ' ' << std::string(p.second/100, '*') << '\n';
        }
    }

Output:

    0 ***********************
    1 *****************************
    2 **********************
    3 *************
    4 ******
    5 ***
    6 *
    7
    8
    9
    10
    11

### [edit] External links

Weisstein, Eric W. "Negative Binomial Distribution." From MathWorld--A Wolfram Web Resource.

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