# A Robust Estimator of the Small-Scale Galaxy CorrelationFunction

## Abstract

We present a new estimator, {omega}, of the small-scale galaxy correlation function that is robust against the effects of redshift-space distortions and large-scale structures. The estimator is a weighted integral of the redshift space or angular correlation function and is a convolution of the real-space correlation function with a localized filter. This allows a direct comparison with theory, without modeling redshift-space distortions and the large-scale correlation function. This has a number of advantages over the more traditional w{sub p} estimator, including (1) an insensitivity to large-scale structures and the details of the truncation of the line-of-sight integral, (2) a well-localized kernel in {zeta}(r) and (3) being unbinned. We discuss how this estimator would be used in practice, applying it to a sample of mock galaxies selected from the Millennium simulation.

- Authors:

- Publication Date:

- Research Org.:
- Ernest Orlando Lawrence Berkeley NationalLaboratory, Berkeley, CA (US)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 928010

- Report Number(s):
- LBNL-62026

Journal ID: ISSN 0035-8711; MNRAA4; R&D Project: PHFNP; BnR: 400409900; TRN: US200816%%979

- DOE Contract Number:
- DE-AC02-05CH11231

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Monthly Notices of the Royal AstronomicalSociety; Journal Volume: 376; Journal Issue: 4; Related Information: Journal Publication Date: 04/2007

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 99; ANGULAR CORRELATION; CORRELATION FUNCTIONS; GALAXIES; KERNELS; SIMULATION

### Citation Formats

```
Padmanabhan, Nikhil, White, Martin, and Eisenstein, Daniel J.
```*A Robust Estimator of the Small-Scale Galaxy CorrelationFunction*. United States: N. p., 2007.
Web. doi:10.1111/j.1365-2966.2007.11554.x.

```
Padmanabhan, Nikhil, White, Martin, & Eisenstein, Daniel J.
```*A Robust Estimator of the Small-Scale Galaxy CorrelationFunction*. United States. doi:10.1111/j.1365-2966.2007.11554.x.

```
Padmanabhan, Nikhil, White, Martin, and Eisenstein, Daniel J. Tue .
"A Robust Estimator of the Small-Scale Galaxy CorrelationFunction". United States.
doi:10.1111/j.1365-2966.2007.11554.x.
```

```
@article{osti_928010,
```

title = {A Robust Estimator of the Small-Scale Galaxy CorrelationFunction},

author = {Padmanabhan, Nikhil and White, Martin and Eisenstein, Daniel J.},

abstractNote = {We present a new estimator, {omega}, of the small-scale galaxy correlation function that is robust against the effects of redshift-space distortions and large-scale structures. The estimator is a weighted integral of the redshift space or angular correlation function and is a convolution of the real-space correlation function with a localized filter. This allows a direct comparison with theory, without modeling redshift-space distortions and the large-scale correlation function. This has a number of advantages over the more traditional w{sub p} estimator, including (1) an insensitivity to large-scale structures and the details of the truncation of the line-of-sight integral, (2) a well-localized kernel in {zeta}(r) and (3) being unbinned. We discuss how this estimator would be used in practice, applying it to a sample of mock galaxies selected from the Millennium simulation.},

doi = {10.1111/j.1365-2966.2007.11554.x},

journal = {Monthly Notices of the Royal AstronomicalSociety},

number = 4,

volume = 376,

place = {United States},

year = {Tue Jan 30 00:00:00 EST 2007},

month = {Tue Jan 30 00:00:00 EST 2007}

}