Stan Functions Reference
Overview
Built-In Functions
1 Void Functions
- 1.1 Print statement
- 1.2 Reject statement
2 Integer-Valued Basic Functions
3 Real-Valued Basic Functions
4 Complex-Valued Basic Functions
5 Array Operations
6 Matrix Operations
7 Complex Matrix Operations
8 Sparse Matrix Operations
9 Mixed Operations
10 Compound Arithmetic and Assignment
11 Higher-Order Functions
12 Deprecated Functions
13 Removed Functions
14 Conventions for Probability Functions
Discrete Distributions
15 Binary Distributions
16 Bounded Discrete Distributions
17 Unbounded Discrete Distributions
18 Multivariate Discrete Distributions
- 18.1 Multinomial distribution
- 18.2 Multinomial distribution, logit parameterization
Continuous Distributions
19 Unbounded Continuous Distributions
20 Positive Continuous Distributions
21 Positive Lower-Bounded Distributions
22 Continuous Distributions on [0, 1]
- 22.1 Beta distribution
- 22.2 Beta proportion distribution
23 Circular Distributions
- 23.1 Von Mises distribution
24 Bounded Continuous Distributions
- 24.1 Uniform distribution
25 Distributions over Unbounded Vectors
26 Simplex Distributions
- 26.1 Dirichlet distribution
27 Correlation Matrix Distributions
- 27.1 LKJ correlation distribution
- 27.2 Cholesky LKJ correlation distribution
28 Covariance Matrix Distributions
Additional Distributions
29 Hidden Markov Models
- 29.1 Stan functions
Appendix
30 Mathematical Functions
References

Stan Functions Reference

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17 Unbounded Discrete Distributions

The unbounded discrete distributions have support over the natural numbers (i.e., the non-negative integers).

Negative Binomial Distribution
Negative Binomial Distribution (alternative parameterization)
Negative Binomial Distribution (log alternative parameterization)
Negative-Binomial-2-Log generalized Linear Model (Negative Binomial Regression)
Poisson Distribution
Poisson Distribution, Log Parameterization
Poisson-Log generalized Linear Model (Poisson Regression)