Asymptotic Efficiency of Statistical Estimators : Concepts and Higher Order Asymptotic Efficiency / Masafumi Akahira, Kei Takeuchi
| Asymptotic Efficiency of Statistical Estimators : Concepts and Higher Order Asymptotic Efficiency / Masafumi Akahira, Kei Takeuchi |
| Autore | Akahira, Masafumi |
| Pubbl/distr/stampa | New York, : Springer, 1981 |
| Descrizione fisica | vii, 242 p. : ill. ; 24 cm |
| Altri autori (Persone) | Takeuchi, Kei |
| Soggetto topico |
62-XX - Statistics [MSC 2020]
62F12 - Asymptotic properties of parametric estimators [MSC 2020] 62E20 - Asymptotic distribution theory in statistics [MSC 2020] |
| Soggetto non controllato |
Asymptotic effectiveness
Estimate Estimator Likelihood Linear regression |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268381 |
Akahira, Masafumi
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| New York, : Springer, 1981 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Asymptotic Efficiency of Statistical Estimators : Concepts and Higher Order Asymptotic Efficiency / Masafumi Akahira, Kei Takeuchi
| Asymptotic Efficiency of Statistical Estimators : Concepts and Higher Order Asymptotic Efficiency / Masafumi Akahira, Kei Takeuchi |
| Autore | Akahira, Masafumi |
| Pubbl/distr/stampa | New York, : Springer, 1981 |
| Descrizione fisica | vii, 242 p. : ill. ; 24 cm |
| Altri autori (Persone) | Takeuchi, Kei |
| Soggetto topico |
62-XX - Statistics [MSC 2020]
62E20 - Asymptotic distribution theory in statistics [MSC 2020] 62F12 - Asymptotic properties of parametric estimators [MSC 2020] |
| Soggetto non controllato |
Asymptotic Effectiveness
Estimate Estimator Likelihood Linear regression |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | This monograph is a collection of results recently obtained by the authors. Most of these have been published, while others are awaitlng publication. Our investigation has two main purposes. Firstly, we discuss higher order asymptotic efficiency of estimators in regular situa tions. In these situations it is known that the maximum likelihood estimator (MLE) is asymptotically efficient in some (not always specified) sense. However, there exists here a whole class of asymptotically efficient estimators which are thus asymptotically equivalent to the MLE. It is required to make finer distinctions among the estimators, by considering higher order terms in the expansions of their asymptotic distributions. Secondly, we discuss asymptotically efficient estimators in non regular situations. These are situations where the MLE or other estimators are not asymptotically normally distributed, or where l 2 their order of convergence (or consistency) is not n / , as in the regular cases. It is necessary to redefine the concept of asympto tic efficiency, together with the concept of the maximum order of consistency. Under the new definition as asymptotically efficient estimator may not always exist. We have not attempted to tell the whole story in a systematic way. The field of asymptotic theory in statistical estimation is relatively uncultivated. So, we have tried to focus attention on such aspects of our recent results which throw light on the area. |
| Record Nr. | UNICAMPANIA-VAN00268381 |
Akahira, Masafumi
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| New York, : Springer, 1981 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Contributions on Theory of Mathematical Statistics / Kei Takeuchi
| Contributions on Theory of Mathematical Statistics / Kei Takeuchi |
| Autore | Takeuchi, Kei |
| Pubbl/distr/stampa | Tokyo, : Springer, 2020 |
| Descrizione fisica | xi, 435 p. : ill. ; 24 cm |
| Soggetto topico |
01A75 - Collected or selected works; reprintings or translations of classics [MSC 2020]
62-XX - Statistics [MSC 2020] |
| Soggetto non controllato |
Invariant and/or covariant estimation of location
Robust estimation of location Tests for shapes of distributions Theory of randomized designs Theory of statistical prediction |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0250044 |
Takeuchi, Kei
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| Tokyo, : Springer, 2020 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Contributions on Theory of Mathematical Statistics / Kei Takeuchi
| Contributions on Theory of Mathematical Statistics / Kei Takeuchi |
| Autore | Takeuchi, Kei |
| Pubbl/distr/stampa | Tokyo, : Springer, 2020 |
| Descrizione fisica | xi, 435 p. : ill. ; 24 cm |
| Soggetto topico |
01A75 - Collected or selected works; reprintings or translations of classics [MSC 2020]
62-XX - Statistics [MSC 2020] |
| Soggetto non controllato |
Invariant and/or covariant estimation of location
Robust estimation of location Tests for shapes of distributions Theory of randomized designs Theory of statistical prediction |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00250044 |
Takeuchi, Kei
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| Tokyo, : Springer, 2020 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Non-regular statistical estimation / Masafumi Akahira, Kei Takeuchi
| Non-regular statistical estimation / Masafumi Akahira, Kei Takeuchi |
| Autore | Akahira, Masafumi |
| Pubbl/distr/stampa | New York [etc.] : Springer, c1995 |
| Descrizione fisica | VIII, 183 p. ; 24 cm. |
| Disciplina | 519.544 |
| Altri autori (Persone) | Takeuchi, Kei |
| Collana | Lecture notes in statistics |
| Soggetto topico |
Statistica
Teoria della stima |
| ISBN | 0-387-94578-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNIBAS-000016325 |
Akahira, Masafumi
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| New York [etc.] : Springer, c1995 | ||
| Lo trovi qui: Univ. della Basilicata | ||
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Non-Regular Statistical Estimation / Masafumi Akahira, Kei Takeuchi
| Non-Regular Statistical Estimation / Masafumi Akahira, Kei Takeuchi |
| Autore | Akahira, Masafumi |
| Pubbl/distr/stampa | New York, : Springer, 1995 |
| Descrizione fisica | viii, 183 p. ; 24 cm |
| Altri autori (Persone) | Takeuchi, Kei |
| Soggetto topico |
62-XX - Statistics [MSC 2020]
62F12 - Asymptotic properties of parametric estimators [MSC 2020] |
| Soggetto non controllato |
Distributions
Estimator Forms Frameworks Information Lemma Likelihood Minimum Probability Proofs Sets Statistics Variance |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00295075 |
Akahira, Masafumi
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| New York, : Springer, 1995 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Thefoundations of multivariate analysis / Kei Takeuchi, ....[et al.]
| Thefoundations of multivariate analysis / Kei Takeuchi, ....[et al.] |
| Autore | Takeuchi, Kei |
| Pubbl/distr/stampa | New Delhi : Wiley Eastern Limited, 1982 |
| Descrizione fisica | xi, 458 p. ; 26 cm |
| Disciplina | 510.535 |
| Soggetto non controllato |
Analisi multivariata e multidimensionale dei dati
Analisi dei datimanuali |
| ISBN | 0-85226-964-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990009389910403321 |
Takeuchi, Kei
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| New Delhi : Wiley Eastern Limited, 1982 | ||
| Lo trovi qui: Univ. Federico II | ||
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