{rfName}
Es

Indexed in

License and Use

Icono OpenAccess

Altmetrics

Analysis of institutional authors

Mendo, LuisCorresponding Author

Share

June 9, 2019
Publications
>
Article
Sí

Estimation of a probability in inverse binomial sampling under normalized linear-linear and inverse-linear loss

Publicated to: TEST. 21 (4): 656-675 - 2012-12-01 21(4), DOI: 10.1007/s11749-011-0267-x

Authors:

Mendo, L
[+]

Affiliations

- Author

Abstract

Sequential estimation of the success probability p in inverse binomial sampling is considered in this paper. For any estimator , its quality is measured by the risk associated with normalized loss functions of linear-linear or inverse-linear form. These functions are possibly asymmetric, with arbitrary slope parameters a and b for and , respectively. Interest in these functions is motivated by their significance and potential uses, which are briefly discussed. Estimators are given for which the risk has an asymptotic value as p -> 0, and which guarantee that, for any pa(0,1), the risk is lower than its asymptotic value. This allows selecting the required number of successes, r, to meet a prescribed quality irrespective of the unknown p. In addition, the proposed estimators are shown to be approximately minimax when a/b does not deviate too much from 1, and asymptotically minimax as r -> a when a=b.
[+]

Keywords

Asymmetric loss functionInverse binomial samplingPoint estimatorPredictionSequential estimationSequential stopping ruleUnbiased estimationVariance

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal TEST due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2012, it was in position 36/117, thus managing to position itself as a Q2 (Segundo Cuartil), in the category Statistics & Probability. Notably, the journal is positioned en el Cuartil Q2 para la agencia Scopus (SJR) en la categoría Statistics and Probability.

[+]

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2026-04-09:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 2 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.
  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://oa.upm.es/21857/

As a result of the publication of the work in the institutional repository, statistical usage data has been obtained that reflects its impact. In terms of dissemination, we can state that, as of

  • Views: 480
  • Downloads: 464
[+]

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (MENDO TOMAS, LUIS) and Last Author (MENDO TOMAS, LUIS).

the author responsible for correspondence tasks has been MENDO TOMAS, LUIS.

[+]