### Abstract

Searches for unknown physics and decisions between competing astrophysical models to explain data both rely on statistical hypothesis testing. The usual approach in searches for new physical phenomena is based on the statistical likelihood ratio test and its asymptotic properties. In the common situation, when neither of the two models under comparison is a special case of the other i.e. when the hypotheses are non-nested, this test is not applicable. In astrophysics, this problem occurs when two models that reside in different parameter spaces are to be compared. An important example is the recently reported excess emission in astrophysical γ-rays and the question whether its origin is known astrophysics or dark matter. We develop and study a new, simple, generally applicable, frequentist method and validate its statistical properties using a suite of simulations studies.We exemplify it on realistic simulated data of the Fermi-Large Area Telescope γ-ray satellite, where non-nested hypotheses testing appears in the search for particle dark matter.

Original language | English (US) |
---|---|

Pages (from-to) | L84-L88 |

Journal | Monthly Notices of the Royal Astronomical Society: Letters |

Volume | 458 |

Issue number | 1 |

DOIs | |

State | Published - May 1 2016 |

Externally published | Yes |

### Fingerprint

### Keywords

- Astroparticle physics
- Darkmatter
- Methods: data analysis
- Methods: statistical

### Cite this

*Monthly Notices of the Royal Astronomical Society: Letters*,

*458*(1), L84-L88. https://doi.org/10.1093/mnrasl/slw025

**A method for comparing non-nested models with application to astrophysical searches for new physics.** / Algeri, Sara; Conrad, Jan; van Dyk, David A.

Research output: Contribution to journal › Article

*Monthly Notices of the Royal Astronomical Society: Letters*, vol. 458, no. 1, pp. L84-L88. https://doi.org/10.1093/mnrasl/slw025

}

TY - JOUR

T1 - A method for comparing non-nested models with application to astrophysical searches for new physics

AU - Algeri, Sara

AU - Conrad, Jan

AU - van Dyk, David A.

PY - 2016/5/1

Y1 - 2016/5/1

N2 - Searches for unknown physics and decisions between competing astrophysical models to explain data both rely on statistical hypothesis testing. The usual approach in searches for new physical phenomena is based on the statistical likelihood ratio test and its asymptotic properties. In the common situation, when neither of the two models under comparison is a special case of the other i.e. when the hypotheses are non-nested, this test is not applicable. In astrophysics, this problem occurs when two models that reside in different parameter spaces are to be compared. An important example is the recently reported excess emission in astrophysical γ-rays and the question whether its origin is known astrophysics or dark matter. We develop and study a new, simple, generally applicable, frequentist method and validate its statistical properties using a suite of simulations studies.We exemplify it on realistic simulated data of the Fermi-Large Area Telescope γ-ray satellite, where non-nested hypotheses testing appears in the search for particle dark matter.

AB - Searches for unknown physics and decisions between competing astrophysical models to explain data both rely on statistical hypothesis testing. The usual approach in searches for new physical phenomena is based on the statistical likelihood ratio test and its asymptotic properties. In the common situation, when neither of the two models under comparison is a special case of the other i.e. when the hypotheses are non-nested, this test is not applicable. In astrophysics, this problem occurs when two models that reside in different parameter spaces are to be compared. An important example is the recently reported excess emission in astrophysical γ-rays and the question whether its origin is known astrophysics or dark matter. We develop and study a new, simple, generally applicable, frequentist method and validate its statistical properties using a suite of simulations studies.We exemplify it on realistic simulated data of the Fermi-Large Area Telescope γ-ray satellite, where non-nested hypotheses testing appears in the search for particle dark matter.

KW - Astroparticle physics

KW - Darkmatter

KW - Methods: data analysis

KW - Methods: statistical

UR - http://www.scopus.com/inward/record.url?scp=84963538286&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84963538286&partnerID=8YFLogxK

U2 - 10.1093/mnrasl/slw025

DO - 10.1093/mnrasl/slw025

M3 - Article

VL - 458

SP - L84-L88

JO - Monthly Notices of the Royal Astronomical Society: Letters

JF - Monthly Notices of the Royal Astronomical Society: Letters

SN - 1745-3925

IS - 1

ER -