A length-biased version of the Birnbaum-Saunders distribution with application in water quality

Stochastic Environmental Research and Risk Assessment

Volumn 23, Issue 3, 2009, Pages 299-307

  Leiva, Víctor ^a   Sanhueza, Antonio ^b   Angulo, José M ^c  

^a UNIVERSIDAD DE VALPARAÍSO   (Chile)

^b UNIVERSIDAD DE LA FRONTERA   (Chile)

^c UNIVERSITY OF GRANADA   (Spain)

Author keywords

Diagnostics; Likelihood methods; Skewed distributions; Water quality

Indexed keywords

BIRNBAUM-SAUNDERS DISTRIBUTIONS; DIAGNOSTICS; ENVIRONMENTAL SCIENCE; GRAPHICAL ANALYSIS; HAZARD FUNCTIONS; ILLUSTRATIVE EXAMPLES; LIKELIHOOD METHODS; NEW MODELS; SKEWED DISTRIBUTIONS;

IMAGE SEGMENTATION; WATER POLLUTION; WATER QUALITY;

DISTRIBUTION FUNCTIONS;

ESTIMATION METHOD; MAXIMUM LIKELIHOOD ANALYSIS; MODEL TEST; PARAMETERIZATION; SKEWNESS; WATER QUALITY;

EID: 59149094153     PISSN: 14363240     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00477-008-0215-9     Document Type: Article

References (16)

1. Balakrishnan N, Leiva V, López J (2007) Acceptance sampling plans from truncated life tests from generalized Birnbaum-Saunders distribution. Comm Stat Simul Comp 36:643-656
2. Cook RD (1986) Assessment of local influence (with discussion). J R Stat Soc B 48:133-169
3. Cook RD, Weisberg S (1982) Residuals and influence in regression. Chapman and Hall, London
4. Desa E, Zingde MD, Vethamony P, Babu MT, D'Sousa SN, Verlecar XN (2005) Dissolved oxygen-a target indicator in determining use of the Gulf of Kachchh waters. Mar Pollut Bull 50:73-79
5. Gokhale S, Khare M (2003) Statistical methodologies and modelling in air pollution. J Inst Engineer India (Environ Engng Div) 83:46-53
6. Gupta RC, Kirmani S (1990) The role of weighted distributions in stochastic modeling. Comm Stat Theor Meth 19:3147-3162
7. Johnson NL, Kotz S, Balakrishnan N (1995) Continuous univariate distributions - vol 2. Wiley, New York
8. Lee L, Helsel D (2005) Statistical analysis of water-quality data containing multiple detection limits: S-language software for regression on order statistics. Comput Geosci 31:1241-1248
9. Leiva V, Hernández H, Riquelme M (2006) A new package for the Birnbaum-Saunders distribution. R News 6:35-40
10. Leiva V, Barros M, Paula GA, Galea M (2007) Influence diagnostics in log-Birnbaum-Saunders regression models with censored data. Comput Stat Data Anal 51:5694-5707
11. Leiva V, Barros M, Paula GA, Sanhueza A (2008) Generalized Birnbaum-Saunders distribution applied to air pollutant concentration. Environmetrics 19, doi: 10.1002/env.861 (in press)
12. Ng HK, Kundu D, Balakrishnan N (2003) Modified moment estimation for the two-parameter Birnbaum-Saunders distribution. Comput Stat Data Anal 43:283-298
13. Patil GP (2002) Weighted distributions. In: El-Shaarawi AH, Piegorsch WW (eds) Encyclopedia of environmetrics, vol 4. Wiley, Chichester, pp 2369-2377
14. Sanhueza A, Leiva V, Balakrishnan N (2008) The generalized Birnbaum-Saunders distribution and its theory, methodology and application. Comm Stat Theor Meth 37:645-670
15. Sansgiry PS, Akman O (2001) Reliability estimation via length-biased transformation. Comm Stat Theor Meth 30:2473-2479
16. Spieglhaiter DJ, Best NG, Carlin BP, van der Linde A (2002) Bayesian measures of complexity and fit. J R Stat Soc B 64:1-34