Improved interval estimation for the two-parameter Birnbaum-Saunders distribution

Computational Statistics and Data Analysis

Volumn 47, Issue 4, 2004, Pages 809-821

  Wu, Jianrong ^a   Wong, A C M ^b  

^a ST JUDE CHILDREN S RESEARCH HOSPITAL   (United States)

^b YORK UNIVERSITY   (Canada)

Author keywords

Birnbaum Saunders distribution; Confidence interval; Monte Carlo simulations; Pivotal quantity; Probability coverage; Signed log likelihood ratio statistic

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; MAXIMUM LIKELIHOOD ESTIMATION; MONTE CARLO METHODS; PARAMETER ESTIMATION; PROBABILITY DISTRIBUTIONS; REDUCTION;

BIRNBAUM-SAUNDERS DISTRIBUTION; CONFIDENCE INTERVAL; PIVOTAL QUANTITY; PROBABILITY COVERAGE; SIGNED LOG-LIKELIHOOD RATION STATISTIC;

STATISTICAL METHODS;

EID: 8344279626     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2003.11.018     Document Type: Article

References (13)

1. Barndorff-Nielsen O.E. Inference on full or partial parameters based on the standardized signed log likelihood ratio. Biometrika. 73:1986;307-322.
2. Barndorff-Nielsen O.E. Modified signed log likelihood ratio. Biometrika. 78:1991;557-563.
3. Birnbaum Z.W., Saunders S.C. A new family of life distribution. J. Appl. Probab. 6:1969;319-327.
4. Birnbaum Z.W., Saunders S.C. Estimation for a family of life distributions with applications to fatigue. J. Appl. Probab. 6:1969;328-347.
5. Desmond A.F. Stochastic models of failure in random environments. Canad. J. Statist. 13:1985;171-183.
6. Doganaksoy N., Schmee J. Comparisons of approximate confidence intervals for distributions used in life-data analysis. Technometrics. 35:1993;175-184.
7. Engelhardt M., Bain L.J., Wright F.T. Inference on the parameters of the Birnbaum-Saunders fatigue life distribution based on maximum likelihood estimation. Technometrics. 23:1981;251-255.
8. Fraser D.A.S., Reid N., Wu J. A simple general formula for tail probabilities for frequentist and Bayesian inference. Biometrika. 86:1999;249-264.
9. Johnson, N.L., Kotz, S., Balakrishnan, N., 1995. Continuous Univariate Distributions, Vol. 2, 2nd Edition. Wiley, New York.
10. Mann N.R., Schafer R.E., Singpurwalla N.D. Methods for Statistical Analysis of Reliability and Life Data. 1974;Wiley, New York.
11. McCool, J.I., 1974. Inferential techniques for Weibull populations. Aerospace Research Laboratories Report ARL TR74-0180, Wright-Patterson Air Force Base, Dayton, OH.
12. Ng H.K.T., Kundu D., Balakrishnan N. Modified moment estimation for the two-parameter Birnbaum-Saunders distribution. Comput. Statist. Data Anal. 43:2003;283-298.
13. Reid N. Likelihood and higher-order approximations to tail areas. a review and annotated bibliography Canad. J. Statist. 24:1996;141-166.