𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Minimum Kφ-divergence estimator

✍ Scribed by T Pérez; J.A Pardo


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
379 KB
Volume
17
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis


In the present work, the problem of estimating parameters of statistical models for categorical data is analyzed. The minimum K¢-divergence estimator is obtained minimizing the K¢-divergence measure between the theoretical and the empirical probability vectors. Its asymptotic properties are obtained. From a simulation study, the conclusion is that our estimator emerges as an attractive alternative to the classical maximum likelihood estimator. (~) 2004 Elsevier Ltd. All rights reserved.


📜 SIMILAR VOLUMES


φ-divergences and nested models
✍ M. Menéndez; D. Morales; L. Pardo 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 173 KB

We consider a wide class of statistics, namely C-divergences. We obtain asymptotic distributions of these statistics in nested models. Our result generalizes previous results in this field.

The minimum ø-divergence estimates with
✍ M.L. Menendez 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 401 KB

In this paper we consider statistical problems involving experiments whose observation does not provide exact information, but that it may be assimilated with fuzzy information. First, we present the minimum @divergence estimator 0k for the unknown parameter 0 on the basis of the 4)-divergence betwe

A Generalized φ-Divergence for Asymptoti
✍ Stefan Wegenkittl 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 156 KB

gives a goodness-of-fit statistic for multinomial distributed data. We define a generalized f-divergence that unifies the j-divergence approach with that of C. R. Rao and S. K. Mitra (''Generalized Inverse of Matrices and Its Applications,' ' Wiley, New York, 1971) and derive weak convergence to a q

Minimum distance estimators
✍ T.P. Hettmansperger; I. Hueter; J. Hüsler 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 669 KB