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Original Articles

Separation and Lack of Separation of Subpopulation in the Mixed Distributions

Pages 417-427 | Received 08 Jan 2012, Accepted 13 Jun 2012, Published online: 17 Sep 2013

References

  • Abu-Zinadah , H. H. 2010 . A study on mixture of exponentiated pareto and exponential distributions . Journal of Applied Sciences Research , 6 ( 4 ) : 358 – 376 .
  • Afify , W. M. 2011 . Classical estimation of mixed Rayleigh distribution in type I progressive censored . Journal of Statistical Theory and Applications , 10 ( 4 ) : 619 – 632 .
  • Al-Hussaini , E. K. 1999 . Bayesian prediction under a mixture of two exponential components model based on type I censoring . Journal of Applied Statistical Science , 8 : 173 – 185 .
  • Ashour , S. K. 1985 . Estimation of the parameters of mixed Weibull-exponential models from censored samples . Tamkang Journal of Mathematics, Taiwan , 16 ( 4 ) : 103 – 111 .
  • Ashour , S. K. and Abd-el Hafez , M. E. 1984 . Bayesian estimation for mixed Weibull . Journal of the Indian Association for Productivity Quality & Reliability , 9 ( 2 ) : 76 – 87 .
  • Balakrishnan , N. , Han , D. and Iliopoulos , G. 2011 . Exact inference for progressively type-I censored exponential failure data . Metrika , 73 : 335 – 358 .
  • Bartoszewicz , J. 2002 . Mixtures of exponential distributions and stochastic orders . Statistics and Probability Letters , 57 : 23 – 31 .
  • Efron , B. 1987 . Better bootstrap confidence intervals . Journal of the American Statistical Association , 82 : 171 – 185 .
  • Efron , B. and Tibshirani , R. 1993 . An Introduction to the Bootstrap , New York : Chapman & Hall .
  • Elsherpieny , E. A. 2007 . Estimation of parameters of mixed generalized exponentionally distributions from censored type I samples . Journal of applied sciences Research , 3 ( 12 ) : 1696 – 1700 .
  • Everitt , B. S. and Hand , D. J. 1981 . Finite Mixture Distributions , London : Chapman and Hall .
  • Gharib , M. 1996 . Characterizations of the exponential distribution via mixing distributions, microelectron . Reliability , 36 ( 3 ) : 293 – 305 .
  • Hall , P. 1988 . Theoretical comparison of bootstrap confidence intervals . Annals of Statistics , 16 : 927 – 953 .
  • Ismail , S. A. and El-Khodary , I. H. 2001 . Characterization of mixtures of exponential family distributions through conditional expectation . Annual Conference on Statistics and Computer Modeling in Human and Social Sciences , 13 : 64 – 73 .
  • Jaheen , Z. F. 2005 . On record statistics from a mixture of two exponential distributions . Journal of Statistical Computation and Simulation , 75 ( 1 ) : 1 – 11 .
  • Jones , P. W. and Ashour , S. K. 1976 . Maximum likelihood estimation of parameters in mixed Weibull distribution with equal shape parameter from complete and censored type I samples . The Egyptian Statistical Journal, The Institute of Statistical Studies & Research, Cairo University, Egypt , 20 : 1 – 11 .
  • Mendenhall , W. and Hader , R. R. 1958 . Estimation of parameters of mixed exponentially distributed failure time distribution from censored life test data . Biometrika , 45 : 504 – 520 .
  • Nassar , M. M. 1988 . Two properties of mixtures of exponential distributions . IEEE Transactions on Reliability , 37 ( 4 ) : 383 – 385 .
  • Nassar , M. M. and Mahmoud , M. R. 1985 . On characterizations of a mixture of exponential distributions . IEEE Transactions on Reliability , 34 ( 5 ) : 484 – 488 .
  • Oppenheimer , L. 1971 . Estimation of a Mixture of Exponentials for Complete and Censored Samples , Chapel Hill , NC : University of North Carolina . Ph.D. dissertation
  • Radhakrishna , C. , Dattatreya Rao , A. V. and Anjaneyulu , G. V. S. R. 1992 . Estimation of parameters in a two component mixture generalized gamma distribution . Communications in Statistics—Theory and Methods , 21 ( 6 ) : 1799 – 1805 .
  • Rider , P. R. 1961 . The method of moments applied to a mixture of two exponential distributions . Annals of Mathematical Statistics , 32 : 143 – 147 .
  • Shawky , A. I. and Bakoban , R. A. 2009 . On finite mixture of two-component exponentiated gamma distribution . Journal of Applied Sciences Research , 5 ( 10 ) : 1351 – 1369 .

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