Line transect sampling is a distance sampling method widely used for estimating wildlife population density. Since the usual approach assumes a model for the detection function, the estimate depends on the shape of such a function. In particular, the estimate is influenced by the so-called shoulder condition, which ensures that detection is nearly certain at small distances from the line transect. For instance, the halfnormal model satisfies this condition, whereas the negative exponential model does not. So, testing whether the shoulder condition is consistent with the data represents a fundamental issue. The aim of this paper is to propose an admissible test for the shoulder condition in the exponential mixture model of the half-normal and the negative exponential. Critical value and p-value of the proposed test are calculated by means of asymptotic distribution theory.

Quatto, P. (2012). Admissible test for shoulder condition in line transect sampling under an exponential mixture model. ADVANCEMENTS AND DEVELOPMENTS IN STATISTICAL SCIENCE, 1(1), 31-39.

Admissible test for shoulder condition in line transect sampling under an exponential mixture model

QUATTO, PIERO
2012-10-01

Abstract

Line transect sampling is a distance sampling method widely used for estimating wildlife population density. Since the usual approach assumes a model for the detection function, the estimate depends on the shape of such a function. In particular, the estimate is influenced by the so-called shoulder condition, which ensures that detection is nearly certain at small distances from the line transect. For instance, the halfnormal model satisfies this condition, whereas the negative exponential model does not. So, testing whether the shoulder condition is consistent with the data represents a fundamental issue. The aim of this paper is to propose an admissible test for the shoulder condition in the exponential mixture model of the half-normal and the negative exponential. Critical value and p-value of the proposed test are calculated by means of asymptotic distribution theory.
Articolo in rivista - Articolo scientifico
Scientifica
line transect sampling; shoulder condition; uniformly most powerful unbiased test; admissible test; exponential families
English
Quatto, P. (2012). Admissible test for shoulder condition in line transect sampling under an exponential mixture model. ADVANCEMENTS AND DEVELOPMENTS IN STATISTICAL SCIENCE, 1(1), 31-39.
Quatto, P
File in questo prodotto:
File Dimensione Formato  
72_Piero_Quatto.pdf

accesso aperto

Tipologia di allegato: Author’s Accepted Manuscript, AAM (Post-print)
Dimensione 101.67 kB
Formato Adobe PDF
101.67 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/39096
Citazioni
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
Social impact