On an extreme value version of the Birnbaum-Saunders distribution

Fundacao para a Ciencia e a Tecnologia (FCT) - Pluriannual Funding Program, PTDC/FEDER, PEst-OE/MAT/UI0006/2011, FCT/OE, POCI 2010

[1]  Narayanaswamy Balakrishnan,et al.  The Generalized Birnbaum–Saunders Distribution and Its Theory, Methodology, and Application , 2008 .

[2]  Mia Hubert,et al.  An adjusted boxplot for skewed distributions , 2008, Comput. Stat. Data Anal..

[3]  José A. Díaz-García,et al.  A new family of life distributions based on the elliptically contoured distributions , 2005 .

[4]  Filidor Vilca-Labra,et al.  A New Fatigue Life Model Based on the Family of Skew-Elliptical Distributions , 2006 .

[5]  M. R. Leadbetter,et al.  Extremes and Related Properties of Random Sequences and Processes: Springer Series in Statistics , 1983 .

[6]  S. Ejaz Ahmed,et al.  A TRUNCATED VERSION OF THE BIRNBAUM-SAUNDERS DISTRIBUTION WITH AN APPLICATION IN FINANCIAL RISK , 2010 .

[7]  N. L. Johnson,et al.  Continuous Univariate Distributions. , 1995 .

[8]  José M. Angulo,et al.  A length-biased version of the Birnbaum-Saunders distribution with application in water quality , 2009 .

[9]  M. Ivette Gomes,et al.  Tail index estimation for heavy‐tailed models: accommodation of bias in weighted log‐excesses , 2007 .

[10]  B. Gnedenko.  Sur La Distribution Limite Du Terme Maximum D'Une Serie Aleatoire , 1943 .

[11]  Luísa Canto e Castro,et al.  Tail and dependence behavior of levels that persist for a fixed period of time , 2008 .

[12]  Nicole A. Lazar,et al.  Statistics of Extremes: Theory and Applications , 2005, Technometrics.

[13]  M. Gomes,et al.  AN OVERVIEW AND OPEN RESEARCH TOPICS IN STATISTICS OF UNIVARIATE EXTREMES , 2012 .

[14]  M. Gomes,et al.  Statistics of extremes for IID data and breakthroughs in the estimation of the extreme value index: Laurens de Haan leading contributions , 2008 .

[15]  Víctor Leiva,et al.  A Non-Central Version of the Birnbaum-Saunders Distribution for Reliability Analysis , 2009, IEEE Transactions on Reliability.

[16]  Saralees Nadarajah,et al.  A truncated inverted beta distribution with application to air pollution data , 2008 .

[17]  Narayanaswamy Balakrishnan,et al.  Estimation of extreme percentiles in Birnbaum-Saunders distributions , 2011, Comput. Stat. Data Anal..

[18]  M. Ivette Gomes,et al.  Peaks over random threshold methodology for tail index and high quantile estimation , 2006 .

[19]  J. Teugels,et al.  Statistics of Extremes , 2004 .

[20]  J. Corcoran.  Modelling Extremal Events for Insurance and Finance , 2002 .

[21]  Richard L. Smith.  Estimating tails of probability distributions , 1987 .

[22]  Narayanaswamy Balakrishnan,et al.  A Skewed Sinh-Normal Distribution and Its Properties and Application to Air Pollution , 2010 .

[23]  Heleno Bolfarine,et al.  An extension of the generalized Birnbaum-Saunders distribution , 2009 .

[24]  Frederico Caeiro,et al.  An Overview And Open Research Topics In Statistics Of Univariate Extremes , 2012 .

[25]  Víctor Leiva,et al.  A new class of survival regression models with heavy-tailed errors: robustness and diagnostics , 2008, Lifetime data analysis.

[26]  L. Haan,et al.  Extreme value theory : an introduction , 2006 .

[27]  Rafał Podlaski,et al.  Characterization of diameter distribution data in near-natural forests using the Birnbaum–Saunders distribution , 2008 .

[28]  L. Haan,et al.  Residual Life Time at Great Age , 1974 .

[29]  Z. Birnbaum,et al.  A new family of life distributions , 1969 .

[30]  Víctor Leiva,et al.  Modeling wind energy flux by a Birnbaum–Saunders distribution with an unknown shift parameter , 2011 .

[31]  B. Dhillon.  Life Distributions , 1981, IEEE Transactions on Reliability.

[32]  James Pickands,et al.  The Continuous and Differentiable Domains of Attraction of the Extreme Value Distributions , 1986 .

[33]  Deyuan Li,et al.  On testing extreme value conditions , 2006 .

[34]  J. D. T. Oliveira,et al.  The Asymptotic Theory of Extreme Order Statistics , 1979 .

[35]  PAUL EMBRECHTS,et al.  Modelling of extremal events in insurance and finance , 1994, Math. Methods Oper. Res..

[36]  Chad R. Bhatti,et al.  The Birnbaum-Saunders autoregressive conditional duration model , 2010, Math. Comput. Simul..

[37]  Gilberto A. Paula,et al.  Influence diagnostics in log-Birnbaum-Saunders regression models with censored data , 2007, Comput. Stat. Data Anal..

[38]  George Christakos,et al.  An extended Birnbaum–Saunders model and its application in the study of environmental quality in Santiago, Chile , 2010 .

[39]  Laurens de Haan,et al.  On maximum likelihood estimation of the extreme value index , 2004, math/0407062.

[40]  Samuel Kotz,et al.  A UNIFIED MIXTURE MODEL BASED ON THE INVERSE GAUSSIAN DISTRIBUTION , 2010 .

[41]  Pranab Kumar Sen,et al.  Random number generators for the generalized Birnbaum–Saunders distribution , 2008 .

[42]  Carl Scarrott,et al.  A Review of Extreme Value Threshold Estimation and Uncertainty Quantification , 2012 .

[43]  Eric P. Smith,et al.  An Introduction to Statistical Modeling of Extreme Values , 2002, Technometrics.

[44]  Gilberto A. Paula,et al.  An R implementation for generalized Birnbaum-Saunders distributions , 2009, Comput. Stat. Data Anal..

[45]  Gilberto A. Paula,et al.  Generalized Birnbaum‐Saunders distributions applied to air pollutant concentration , 2008 .