H | R Documentation |

Computes the Hellinger distance between the two probability density functions specified using numerical integration.

```
H(dens1, dens2, lower=-Inf)
```

`dens1` |
function returning the first probability density. |

`dens2` |
function returning the second probability density. |

`lower` |
lower end of the common domain of two density functions. Usually equal to |

The Hellinger distance is defined in Le Cam (1986) and also given in Roos et al. (2015, Sect. 2.1).

A real number in [0,1].

Le Cam, L. (1986). Asymptotic Methods in Statistical Decision Theory. Springer.

Roos, M., Martins, T., Held, L., Rue, H. (2015). Sensitivity analysis for Bayesian hierarchical models.
*Bayesian Analysis* **10(2)**, 321–349.
https://projecteuclid.org/euclid.ba/1422884977

`H_normal`

```
H(dens1=function(x) dhalfnormal(x, scale=0.5),
dens2=function(x) dhalfnormal(x, scale=1), lower=0)
H(dens1=function(x) dhalfnormal(x, scale=0.5),
dens2=function(x) dhalfcauchy(x, scale=1), lower=0)
```

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