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Communications in Statistics - Theory and Methods Volume 44, 2015 - Issue 19: Distribution Theory and Statistical Methods for Lifetime Data
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Original Articles

Fisher Information in Censored Samples from the Marshall-Olkin Bivariate Exponential Distribution

H. N. NagarajaDivision of Biostatistics, College of Public Health, The Ohio State University, Columbus, Ohio, USACorrespondence[email protected]
&
Qinying HeCollege of Economics and Management, South China Agricultural University, Guangzhou, Guangdong, China
Pages 4172-4184 | Received 17 Jan 2014, Accepted 29 Sep 2014, Published online: 02 Oct 2015

References

  • Arnold, B.C. (1968). Parameter estimation for a multivariate exponential distribution. J. Amer. Statist. Assoc. 63:848–852.
  • Balakrishnan, N., Lai, C.D. (2009). Continuous Bivariate Distributions. 2nd. ed. New York: Springer-Verlag.
  • Bemis, B.M., Bain, L.J., Higgins, J.J. (1972). Estimation and hypothesis testing for the parameters of a bivariate exponential distribution. J. Amer. Statist. Assoc. 67:927–929.
  • Bhattacharya, P.K. (1974). Convergence of sample paths of normalized sums of induced order statistics. Ann. Statist. 2:1034–1039.
  • Chen, D., Lu, J-C, Hughes-Oliver, J.M., Li, C-S (1998). Asymptotic properties of maximum likelihood estimates for a bivariate exponential distribution and mixed censored data. Metrika 48:109–125.
  • David, H.A. (1973). Concomitants of order statistics. Bull. Inte. Statist. Instit. 45:295–300.
  • David, H.A., Nagaraja, H.N. (2003). Order Statistics. 3rd ed. Hoboken, NJ: Wiley.
  • Hagen, E.W. (1980). Common-mode/common-cause failure: a review. Ann. Nucl. Ener. 7:509–519.
  • He, Q., Nagaraja, H.N. (2012). Fisher information in censored samples from Downton’s bivariate exponential distribution. J. Statist. Plann. Infere. 142:1888–1898.
  • Kotz, S., Balakrishnan, N., Johnson, N.L. (2000). Continuous Multivariate Distributions, Volume I: Models and Applications. 2nd ed. New York: Wiley.
  • Marshall, A.W., Olkin, I. (1967). A multivariate exponential distribution. J. Ameri. Statist. Associ. 62:30–44.
  • Nagaraja, H.N., Abo-Eleneen, Z.A. (2008). Fisher information in order statistics and their concomitants in bivariate censored samples. Metrika 67:327–347.
  • Rao, C.R. (1973). Linear Statistical Inference and Its Applications. 2nd ed., New York: Wiley.
  • Shi, D.J., Smith, R.L., Coles, S. (1992). Joint versus marginal estimation for bivariate extremes. http://www.stat.unc.edu/postscript/rs/maest.pdf.
  • Yang, S.S. (1981). Linear function of concomitants of order statistics with application to nonparametric estimation of a regression function. J. Amer. Statist. Assoc. 76:658–662.

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