Advanced search
Publication Cover
Communications in Statistics - Theory and Methods Volume 27, 1998 - Issue 11
Submit an article Journal homepage
93
Views
20
CrossRef citations to date
0
Altmetric
Original Articles

Asymptotic skewness and the distribution of maximum likelihood esimators

K. O. Bowman Computer Science and Mathematics Division, Oak Ridge National Liboratory, P.O. Box 2008, Oak Ridge, Tennessee, 37831-6367
&
L. R. Shenton Department of Statistics, University of Gergia, Athens, Georgia, 30602
Pages 2743-2760 | Received 01 Jun 1998, Published online: 27 Jun 2007

Citations (20)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (8)

Hérica P. A. Carneiro, Mônica C. Sandoval, Denise A. Botter & Tiago M. Magalhães. (2023) Some asymptotic inferential aspects of the Kumaraswamy distribution. Communications in Statistics - Theory and Methods 0:0, pages 1-17.
Read now
Sukru Acitas, Ismail Yenilmez, Birdal Senoglu & Yeliz Mert Kantar. (2021) Modified maximum likelihood estimator under the Jones and Faddy's skew t-error distribution for censored regression model. Journal of Applied Statistics 48:12, pages 2136-2151.
Read now
Tiago M. Magalhães, Denise A. Botter, Mônica C. Sandoval, Gustavo H. A. Pereira & Gauss M. Cordeiro. (2019) Skewness of maximum likelihood estimators in the varying dispersion beta regression model. Communications in Statistics - Theory and Methods 48:17, pages 4250-4260.
Read now
AlexsandroB. Cavalcanti, GaussM. Cordeiro, DeniseA. Botter & LúciaP. Barroso. (2009) Asymptotic Skewness in Exponential Family Nonlinear Models. Communications in Statistics - Theory and Methods 38:14, pages 2275-2287.
Read now
K. O. Bowman & L. R. Shenton. (2005) The asymptotic variance and skewness of maximum likelihood estimators using Maple. Journal of Statistical Computation and Simulation 75:12, pages 975-986.
Read now
K. O. Bowman & L. R. Shenton. (2002) Problems with Maximum Likelihood Estimation and the 3 Parameter Gamma Distribution. Journal of Statistical Computation and Simulation 72:5, pages 391-401.
Read now
Hérbetes de H. Cordeiro & Gauss M. Cordeiro. (2001) SKEWNESS FOR PARAMETERS IN GENERALIZED LINEAR MODELS. Communications in Statistics - Theory and Methods 30:7, pages 1317-1334.
Read now
K.O. Bowman & L.R. Shenton. (1999) The asymptotic moment profile and maximum likelihood: Applications to gamma and gamma ratio densities. Communications in Statistics - Theory and Methods 28:10, pages 2497-2508.
Read now

Articles from other publishers (12)

Artur J. Lemonte. (2022) Higher order asymptotic refinements in Bell regressions. Stat 11:1.
Crossref
Márcio A. Diniz & Tiago M. Magalhães. 2022. Principles and Practice of Clinical Trials. Principles and Practice of Clinical Trials 1789 1811 .
Márcio A. Diniz & Tiago M. Magalhães. 2020. Principles and Practice of Clinical Trials. Principles and Practice of Clinical Trials 1 23 .
Márcio A. Diniz & Tiago M. Magalhães. 2020. Principles and Practice of Clinical Trials. Principles and Practice of Clinical Trials 1 23 .
Tiago M. Magalhães, Diego I. Gallardo & Héctor W. Gómez. (2019) Skewness of Maximum Likelihood Estimators in the Weibull Censored Data. Symmetry 11:11, pages 1351.
Crossref
Tiago M. Magalhães, Denise A. Botter & Mônica C. Sandoval. (2013) Asymptotic skewness for the beta regression model. Statistics & Probability Letters 83:10, pages 2236-2241.
Crossref
Alexandre G. Patriota & Gauss M. Cordeiro. (2011) A matrix formula for the skewness of maximum likelihood estimators. Statistics & Probability Letters 81:4, pages 529-537.
Crossref
Wagner Barreto-Souza & Klaus L.P. Vasconcellos. (2011) Bias and skewness in a general extreme-value regression model. Computational Statistics & Data Analysis 55:3, pages 1379-1393.
Crossref
Alexandre B. Simas, Gauss M. Cordeiro & Andréa V. Rocha. (2010) Skewness of maximum likelihood estimators in dispersion models. Journal of Statistical Planning and Inference 140:7, pages 2111-2121.
Crossref
M. Zanolin, S. Vitale & N. Makris. (2010) Application of asymptotic expansions for maximum likelihood estimators errors to gravitational waves from binary mergers: The single interferometer case. Physical Review D 81:12.
Crossref
Artur J. Lemonte & Gauss M. Cordeiro. (2010) Asymptotic skewness in Birnbaum–Saunders nonlinear regression models. Statistics & Probability Letters 80:9-10, pages 892-898.
Crossref
K.O Bowman & L.R Shenton. (2001) Weibull distributions when the shape parameter is defined. Computational Statistics & Data Analysis 36:3, pages 299-310.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.