# The log-likelihood function

### Description

The log-likelihood function of the closed-skew normal distribution

### Usage

1 |

### Arguments

`x` |
this is either a vector of length |

`mu` |
a numeric vector representing the location parameter of the
distribution; it must be of length |

`sigma` |
a positive definite matrix representing the scale parameter of the distribution; a vector of length 1 is also allowed |

`gamma` |
a matrix representing the skewness parameter of the distribution; a vector of length 1 is also allowed |

`nu` |
a numeric vector allows for closure with conditional densities;
it must be of length |

`delta` |
a positive definite matrix allows for closure with the marginal densities; a vector of length 1 is also allowed |

### Details

Function loglcsn makes use of pmvnorm and dmvnorm from package mvtnorm

### Value

`loglcsn`

returns a sum of log-transformed density values

### See Also

`pmvnorm`

, `dmvnorm`

### Examples

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