On the completeness of the family of factorizable densities

Name: On the completeness of the family of factorizable densities
Brand: Vita e Pensiero
Availability: OnlineOnly

digital

Article

Magazine

STATISTICA & APPLICAZIONI

Section

Open Access

Title

On the completeness of the family of factorizable densities

Authors

Carla Cattaneo, Fulvia Mecatti

Publisher

Vita e Pensiero

Format

Article |

Pdf

Pages

Online from

06-2016

Issn

1824-6672 (print) | 2283-6659 (digital)

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Description Readers' comments

The family of continuous distribution laws which factorize in two positive functions, one depending on the variable only and the other one depending on a scalar parameter exclusively, is concerned. The family has no intersection with the Exponential class and includes Uniform distributions over an interval depending upon the parameter as well as infinitely many other distributions arising, for instance, by truncation. Simple sufficient conditions, regarding the support of random variables with distribution included in the family of factorizable densities and suitable to prove completeness are stated. Completeness of statistics based on sample from densities included in the family is also considered.

Keywords: Acceptance-Rejection method, Complete statistics, Non-regular distributions families, Truncated data.

Authors biography

Fulvia Mecatti, Dipartimento di Statistica-Università degli Studi di Milano-Bicocca- via Bicocca degli Arcimboldi, 8-20126 MILANO(e-mail:fulvia.mecatti@unimib.it).
Carla Cattaneo, Dipartimento di Statistica-Università degli Studi di Milano-Bicocca- via Bicocca degli Arcimboldi, 8-20126 MILANO(e-mail:carla.cattaneo@unimib.it).

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