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

30 Mathematical Functions

This appendix provides the definition of several mathematical functions used throughout the manual.

Beta
Incomplete Beta
Gamma
Digamma