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A Characteristic Property of Gumbel's Bivariate Exponential Distribution
Calcutta Statistical Association Bulletin, 1987The present note characterises Gumbel's bivariate exponential distribution by means of the property \[ E[(X_ i-t_ i)^+| X_{3-i}>t_{3-i}]E[(X_ i-s_ i)^+| X_{3-i}>t_{3-i}]= \] \[ E[X_ i| X_{3-i}>t_{3-i}]E[(X_ i-t_ i-s_ i)^+| X_{3-i}>t_{3-i}] \] for all \(s_ i,t_ i\geq 0\), \(i=1,2\), where \((X_ i-t_ i)^+=\max (X_ i-t_ i,0)\).
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A simple Bayesian estimation of the gumbel distribution
2008 IEEE International Conference on Industrial Engineering and Engineering Management, 2008Practical use of Bayesian estimation of two-parameter Gumbel distribution often requires a two-dimensional joint prior distribution of the Gumbel parameters. It is particularly difficult to convince practitioners to believe any results from their subjective prior distribution.
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ACCEPTANCE SAMPLING PLANS FOR PERCENTILES OF GUMBEL DISTRIBUTION
Far East Journal of Theoretical Statistics, 2021Rao, B. Srinivas +2 more
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Gumbel mixture modelling for multiple failure data
Reliability Engineering and System Safety, 2023Marko Nagode +2 more
exaly
A Review of the Gumbel-max Trick and its Extensions for Discrete Stochasticity in Machine Learning
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2023Iris A M Huijben +2 more
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Parameter estimation for the Gumbel distribution [PDF]
Stata Technical Bulletin, 1999 Manuel G. Scotto, Aurelio Tobias
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