ms_stat {dragonking} | R Documentation |

## Max-sum (MS) test statistic to identify dragon kings (DKs)

### Description

`ms_stat`

calculates the MS test statistic to determine whether
there is significant support for the existence of `r`

DKs in
`vals`

. This statistic is less susceptible to swamping, but is also
less powerful in the case of clustered outliers, in comparison to the SS
and SRS test statistics.

### Usage

```
ms_stat(vals, r)
```

### Arguments

`vals` |
numeric vector with at least 3 elements |

`r` |
integer indicating number of DKs in |

### Value

MS test statistic

### References

Wheatley S, Sornette D (2015). Multiple outlier detection in samples with exponential & pareto tails: Redeeming the inward approach & detecting dragon kings. Swiss Finance Institute Research Paper Series No. 15-28. <doi:10.2139/ssrn.2645709>

Hawkins DM (1980). Identification of outliers, vol. 11. *Chapman and Hall*. ISBN: 9789401539944

Kimber AC (1982). Tests for many outliers in an exponential sample. *Appl Statist*, **31**(3): 263-71. <doi:10.2307/2348000>

### Examples

```
# generate a numeric vector with DKs
temp <- c(rexp(100), # exponentially distributed RV
15, 15, 15) # DK elements
# calculate test statistic for DKs
ms_stat(temp, r = 3)
```

*dragonking*version 0.1.0 Index]