Generalized Birnbaum-Saunders distributions applied to air pollutant concentration

Environmetrics

Volumn 19, Issue 3, 2008, Pages 235-249

  Leiva, Víctor ^a   Barros, Michelli ^b   Paula, Gilberto A ^c   Sanhueza, Antonio ^d  

^a UNIVERSIDAD DE VALPARAÍSO   (Chile)

^b FEDERAL UNIVERSITY OF CAMPINA GRANDE   (Brazil)

^c UNIVERSITY OF SÃO PAULO   (Brazil)

^d UNIVERSIDAD DE LA FRONTERA   (Chile)

Author keywords

Air pollution; Asymptotic inference; Goodness of fit; Kurtosis; Moments; Robustness; Skewness

Indexed keywords

ATMOSPHERIC MODELING; ATMOSPHERIC POLLUTION; CONCENTRATION (COMPOSITION); SPATIAL DISTRIBUTION;

EID: 38649112361     PISSN: 11804009     EISSN: 1099095X     Source Type: Journal    
DOI: 10.1002/env.861     Document Type: Article

References (20)

1. Balakrishnan N, Leiva V, López J. 2007. Acceptance sampling plans from truncated life tests from generalized Birnbaum-Saunders distribution. Communications in Statistics: Simulation and Computation 36: 643-656.
2. Birnbaum ZW, Saunders SC. 1969. A new family of life distributions. Journal of Applied Probability 6: 637-652.
3. Chang DS, Tang LC. 1994. Graphical analysis for B-S distribution. Microelectronics and Reliability 34: 17-22.
4. Cox DR, Oakes D. 1984. Analysis of Survival Data. Chapman and Hall: London.
5. Cressie N, Davis AS, Folks JL, Policello GE. 1981. The moment-generating function and negative integer moments. The American Statistician 35: 148-150.
6. Desmond A. 1985. Stochastic models of failure in random environments. Canadian Journal of Statistics 13: 171-183.
7. Díaz-García JA, Leiva V. 2005. A new family of life distributions based on elliptically contoured distributions. Journal of Statistical Planning and Inference 128: 445-457 (Erratum, Journal of Statistical Planning and Inference 137: 1512-1513).
8. Díaz-García JA, Domínguez-Molina JR. 2006. Some generalisations of Birnbaum-Saunders and sinh-normal distributions. International Mathematical Forum 1: 1709-1727.
9. Fang KT, Kotz S, Ng KW. 1990. Symmetric Multivariate and Related Distributions. Chapman and Hall: London.
10. Galea M, Leiva V, Paula GA. 2004. Influence diagnostics in log-Birnbaum-Saunders regression models. Journal of Applied Statistics 31: 1049-1064.
11. Gokhale S, Khare M. 2003. Statistical methodologies and modelling in air pollution. Journal of Institute of Engineering of India (Environ. Engng. Div.) 83: 46-53.
12. Johnson NL, Kotz S, Balakrishnan N. 1995. Continuous Univariate Distributions (Vol. 2). Wiley: New York.
13. Leiva V, Barros M, Paula GA, Galea M. 2007a. Influence diagnostics in log-Birnbaum-Saunders regression models with censored data. Computational Statistics and Data Analysis DOI: 10.1016/j.csda.2006.09.020.
14. Leiva V, Hernández H, Riquelme M. 2006. A new package for the Birnbaum-Saunders distribution. R News 6: 35-40.
15. Leiva V, Sanhueza A, Sen PK, Paula GA. 2007b. Random number generators for the generalized Birnbaum-Saunders distribution. Journal of Statistical Computation and Simulation (in press).
16. Meeker WQ, Escobar LA. 1998. Statistical Methods for Reliability Data. Wiley: New York.
17. Mudholkar G, Natarajan R. 2002. The inverse Gaussian models: analogues of symmetry, skewness and kurtosis. Annals of the Institute of Statistical Mathematics 54: 138-154.
18. Ng HK, Kundu D, Balakrishnan N. 2003. Modified moment estimation for the two-parameter Birnbaum-Saunders distribution. Computational Statistics and Data Analysis 43: 283-298.
19. Singpurwalla ND. 1972. Extreme values from a lognormal law with applications to air pollution problems. Technometrics 14: 703-711.
20. Tsukatani T, Shighemitsu K. 1980. Simplified Pearson distributions applied to air pollutant concentration. Atmospheric Environment 14: 245-253.